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Investment - Correlation
Another approach of using and interpreting data is detecting relationships between data sets. The degree of a relationship between two variables, such as growth in gross domestic product (GDP) and stock market returns, can be quantified by employing correlation. Essentially, two variables are linked when a change in one variable helps predict a change in another one.
When both variables fluctuate in the same direction, the variables are positively linked. If we take the example of traders at an investment bank, salary and age are positively connected if salaries increase as age increases. If the variables move in the opposite direction, then they are negatively linked.
For example, the size of a transaction and the fees stated as a percentage of the transaction are negatively connected if the greater the transaction, the smaller the associated fees. When there is no evident tendency for one variable to move in a particular direction (up or down) relative to changes in the other variable, then the variables are near to being uncorrelated. In practice, it is difficult to identify two variables that have absolutely no relationship.
Correlation Coefficient
Correlation is assessed by the correlation coefficient, which has a scale of –1 to +1. When two variables move exactly in step with each other in the same direction — if one goes up and the other goes up in the same proportion — the variables are said to be fully positively linked. In that situation, the correlation coefficient is at its maximum of +1. When the two variables move exactly in step in opposite directions, they are perfectly negatively correlated, and the correlation coefficient is –1. Variables with no relationship to each other will have a correlation coefficient close to 0.
Degree of Correlation
Correlation evaluates both the direction of the association between two variables (negative or positive) and the strength of that relationship (that is, the closer to +1 or –1, the stronger the relationship). In practice, it is unusual to find variables that are fully positively or perfectly negatively associated. The greater the association between two variables — the higher the degree of correlation — the more reliably one variable may be predicted given the other value.
For example, there may be a substantial link between stock market index returns and predicted economic growth. In that instance, if economic growth in the future is predicted to be high, then returns on the stock market index are likely to be high too.
It is vital, however, to recognize that correlation does not imply causality. For example, traditionally in the United States, stock market returns and snowfall are both greater in January, and from that you may presume a correlation. But obviously, snowfall does not create an increase in stock market returns, and an increase in stock market returns surely does not cause snowfall.
There are occasions in which a correlation implies some causal relationship. For example, a substantial association has been discovered between power generation and job growth. It may follow that the more workers there are, the more power is consumed, but it does not necessarily follow that an increase in power generation will create jobs.
Correlation and Portfolio Diversification
Correlation is significant in investing because the rise or fall in value of a variable may assist anticipate the growth or fall in value of a security. It is also essential because when two or more securities that are not perfectly positively correlated are pooled together in a portfolio, there is generally a reduction in risk (measured by the portfolio’s standard deviation of returns). The process of blending assets in a portfolio to lessen risk is known as diversification.
An extreme example of an undiversified portfolio is someone holding only one security. This technique is dangerous because it is not rare for a single security to fall down in value by a big amount for a period of time, sometimes permanently. It is significantly less usual for a diversified portfolio of 20 or more different assets to go down by a large amount, even if they are selected at random.
If the assets are selected from a variety of sectors, industries, firm sizes, asset classes, and marketplaces, it is much less likely. One caution is that the benefits of diversity are considerably decreased in periods of financial crises. In such periods, the correlation between returns on different securities (and other asset classes) tends to climb towards +1.
Another approach of using and interpreting data is detecting relationships between data sets. The degree of a relationship between two variables, such as growth in gross domestic product (GDP) and stock market returns, can be quantified by employing correlation. Essentially, two variables are linked when a change in one variable helps predict a change in another one.
When both variables fluctuate in the same direction, the variables are positively linked. If we take the example of traders at an investment bank, salary and age are positively connected if salaries increase as age increases. If the variables move in the opposite direction, then they are negatively linked.
For example, the size of a transaction and the fees stated as a percentage of the transaction are negatively connected if the greater the transaction, the smaller the associated fees. When there is no evident tendency for one variable to move in a particular direction (up or down) relative to changes in the other variable, then the variables are near to being uncorrelated. In practice, it is difficult to identify two variables that have absolutely no relationship.
Correlation Coefficient
Correlation is assessed by the correlation coefficient, which has a scale of –1 to +1. When two variables move exactly in step with each other in the same direction — if one goes up and the other goes up in the same proportion — the variables are said to be fully positively linked. In that situation, the correlation coefficient is at its maximum of +1. When the two variables move exactly in step in opposite directions, they are perfectly negatively correlated, and the correlation coefficient is –1. Variables with no relationship to each other will have a correlation coefficient close to 0.
Degree of Correlation
Correlation evaluates both the direction of the association between two variables (negative or positive) and the strength of that relationship (that is, the closer to +1 or –1, the stronger the relationship). In practice, it is unusual to find variables that are fully positively or perfectly negatively associated. The greater the association between two variables — the higher the degree of correlation — the more reliably one variable may be predicted given the other value.
For example, there may be a substantial link between stock market index returns and predicted economic growth. In that instance, if economic growth in the future is predicted to be high, then returns on the stock market index are likely to be high too.
It is vital, however, to recognize that correlation does not imply causality. For example, traditionally in the United States, stock market returns and snowfall are both greater in January, and from that you may presume a correlation. But obviously, snowfall does not create an increase in stock market returns, and an increase in stock market returns surely does not cause snowfall.
There are occasions in which a correlation implies some causal relationship. For example, a substantial association has been discovered between power generation and job growth. It may follow that the more workers there are, the more power is consumed, but it does not necessarily follow that an increase in power generation will create jobs.
Correlation and Portfolio Diversification
Correlation is significant in investing because the rise or fall in value of a variable may assist anticipate the growth or fall in value of a security. It is also essential because when two or more securities that are not perfectly positively correlated are pooled together in a portfolio, there is generally a reduction in risk (measured by the portfolio’s standard deviation of returns). The process of blending assets in a portfolio to lessen risk is known as diversification.
An extreme example of an undiversified portfolio is someone holding only one security. This technique is dangerous because it is not rare for a single security to fall down in value by a big amount for a period of time, sometimes permanently. It is significantly less usual for a diversified portfolio of 20 or more different assets to go down by a large amount, even if they are selected at random.
If the assets are selected from a variety of sectors, industries, firm sizes, asset classes, and marketplaces, it is much less likely. One caution is that the benefits of diversity are considerably decreased in periods of financial crises. In such periods, the correlation between returns on different securities (and other asset classes) tends to climb towards +1.
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Investment - Time Value of Money and Regular Payments
Many sorts of financial arrangements include recurring payments over time. For example, most consumer loans, including mortgages, entail regular recurring payments to pay off the loan. Each period, some of the payment covers the interest on the loan and the remainder of the payment pays off some of the principal (the lent amount). A pension savings scheme or pension plan may also require recurring contributions.
Most consumer loans culminate in an ultimate balance of money equal to zero. That is, the loan is paid off. A mortgage is an example of a financial instrument that requires the eventual balance of the loan to be zero.
A mortgage involves a loan and a series of fixed payments. The initial amount of the loan is referred to as the principle. Although the monthly amounts are fixed, the portion of each payment that is interest is based on the remaining principal at the beginning of each period. As portion of the principal is repaid each period, the amount of interest lowers over time, and so the amount of principal repaid grows with each subsequent payment until the value of the principal is reduced to zero. At this moment, the debt is considered to mature.
Time Value of Money and Purchasing Power: The Effect of Inflation
The temporal worth of money is strongly tied to the ideas of inflation and buying power. Inflation is the process by which prices of goods and services grow over time,
In short, a dollar today is worth more than a dollar to be received in the future because inflation erodes the value of money, and hence purchasing power.
Many sorts of financial arrangements include recurring payments over time. For example, most consumer loans, including mortgages, entail regular recurring payments to pay off the loan. Each period, some of the payment covers the interest on the loan and the remainder of the payment pays off some of the principal (the lent amount). A pension savings scheme or pension plan may also require recurring contributions.
Most consumer loans culminate in an ultimate balance of money equal to zero. That is, the loan is paid off. A mortgage is an example of a financial instrument that requires the eventual balance of the loan to be zero.
A mortgage involves a loan and a series of fixed payments. The initial amount of the loan is referred to as the principle. Although the monthly amounts are fixed, the portion of each payment that is interest is based on the remaining principal at the beginning of each period. As portion of the principal is repaid each period, the amount of interest lowers over time, and so the amount of principal repaid grows with each subsequent payment until the value of the principal is reduced to zero. At this moment, the debt is considered to mature.
Time Value of Money and Purchasing Power: The Effect of Inflation
The temporal worth of money is strongly tied to the ideas of inflation and buying power. Inflation is the process by which prices of goods and services grow over time,
In short, a dollar today is worth more than a dollar to be received in the future because inflation erodes the value of money, and hence purchasing power.
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Investment - Present Value and the Valuation of Financial Instruments
People invest in financial products and instruments because they expect to gain future rewards in the form of future cash flows. These cash flows can be in the form of income, such as dividends and interest, from the repayment of an amount lent, or by selling the financial product or instrument to someone else.
An investor is exchanging a quantity of money now for future cash flows, and some of these cash flows are more uncertain than others.
The following timeline demonstrates why people invest money in the now and what they may gain in the future
Today Investment
People invest so they are able to afford the things they desire in future, such as buying a car, a home, bringing a child to school, saving for retirement, etc.
T + 1 Returns
When people invest their money, their money can generate additional money by earning interest on what they have put away. The principle of compound interest creates interest on both interest and the original cash outflow.
Future Future Cash Flows
The value (amount traded) of a fairly priced financial product today should equal the present value of its predicted future cash flows.
People invest in financial products and instruments because they expect to gain future rewards in the form of future cash flows. These cash flows can be in the form of income, such as dividends and interest, from the repayment of an amount lent, or by selling the financial product or instrument to someone else.
An investor is exchanging a quantity of money now for future cash flows, and some of these cash flows are more uncertain than others.
The following timeline demonstrates why people invest money in the now and what they may gain in the future
Today Investment
People invest so they are able to afford the things they desire in future, such as buying a car, a home, bringing a child to school, saving for retirement, etc.
T + 1 Returns
When people invest their money, their money can generate additional money by earning interest on what they have put away. The principle of compound interest creates interest on both interest and the original cash outflow.
Future Future Cash Flows
The value (amount traded) of a fairly priced financial product today should equal the present value of its predicted future cash flows.
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Investment - Present Value and Future Value
Two basic time value of money challenges are finding the value of a collection of cash flows now (present value) and the value as of a point in time in the future (future value).
Question
If you are offered GBP1 today or GBP1 in a year’s time, which would you choose?
Most individuals say GBP1 today because it provides them the choice of whether to spend or invest the money today and avoid the risk of never getting it at all. However, the GBP1 to be received in the future is worth less than GBP1 received now. The GBP1 to be received in the future is today worth GBP1 minus the opportunity cost and the risk of living without it for one year. The present value is derived by discounting the future cash flow by the interest rate. The rate of interest in this context can be called the discount rate.
Time influences the value of money because delay causes opportunity costs and risk. If you obtain a return of r% for waiting one year, GBP1 × (1 + r%) is the future value after one year of GBP1 invested now. Put another way, GBP1 is the present value of GBP1 × (1 + r%) received in a year’s time.
A saver may want to know how much money is needed today to create a certain quantity in the future given the rate of interest, r.
With compound interest, today’s worth is GBP100 and the interest rate is 10%, hence the projected value after two years is £100 × (1 + 0.10)2 = £121. The present value – the comparable value today — of GBP121 in two years, given that the annual interest rate is 10%, is GBP100.
Two basic time value of money challenges are finding the value of a collection of cash flows now (present value) and the value as of a point in time in the future (future value).
Question
If you are offered GBP1 today or GBP1 in a year’s time, which would you choose?
Most individuals say GBP1 today because it provides them the choice of whether to spend or invest the money today and avoid the risk of never getting it at all. However, the GBP1 to be received in the future is worth less than GBP1 received now. The GBP1 to be received in the future is today worth GBP1 minus the opportunity cost and the risk of living without it for one year. The present value is derived by discounting the future cash flow by the interest rate. The rate of interest in this context can be called the discount rate.
Time influences the value of money because delay causes opportunity costs and risk. If you obtain a return of r% for waiting one year, GBP1 × (1 + r%) is the future value after one year of GBP1 invested now. Put another way, GBP1 is the present value of GBP1 × (1 + r%) received in a year’s time.
A saver may want to know how much money is needed today to create a certain quantity in the future given the rate of interest, r.
With compound interest, today’s worth is GBP100 and the interest rate is 10%, hence the projected value after two years is £100 × (1 + 0.10)2 = £121. The present value – the comparable value today — of GBP121 in two years, given that the annual interest rate is 10%, is GBP100.
Before you can determine present or future values, you must know the relevant interest or discount rates to employ as well as the number of time periods under consideration. The rate will usually depend on the overall level of interest rates in the economy, the opportunity cost, and the riskiness of the assets under consideration.
Note that the interest and discount rates are the same percentage rates, but the language varies according on context. Calculating present values helps investors and analysts to translate cash flows of different amounts and at different points in the future into sums in the present that can be compared with each other. Likewise, the cash flows can be translated into the values they would be comparable to at a common future point.
Example: Comparing Investments
You are choosing between two investments of equal risk. You believe that given the risk, the proper discount rate to apply is 9%. Your starting investment (outflow) for each is GBP500. One investment is predicted to pay out GBP1,000 three years from now; the second investment is expected to pay out GBP1,350 five years from now. To choose between the two investments, you must compare the value of each investment at the same moment in time.
Note that the interest and discount rates are the same percentage rates, but the language varies according on context. Calculating present values helps investors and analysts to translate cash flows of different amounts and at different points in the future into sums in the present that can be compared with each other. Likewise, the cash flows can be translated into the values they would be comparable to at a common future point.
Example: Comparing Investments
You are choosing between two investments of equal risk. You believe that given the risk, the proper discount rate to apply is 9%. Your starting investment (outflow) for each is GBP500. One investment is predicted to pay out GBP1,000 three years from now; the second investment is expected to pay out GBP1,350 five years from now. To choose between the two investments, you must compare the value of each investment at the same moment in time.
As you can see, the investment with a payoff of GBP1,350 five years from now is worth more in present value terms, hence it is the better investment.
You are deciding between the same two assets, but you have reassessed their dangers. You now regard the five-year investment to be riskier than the first and estimate that a 15% return is required to justify making this investment.
Present value of GBP1,350 in five years discounted at 15% =
You are deciding between the same two assets, but you have reassessed their dangers. You now regard the five-year investment to be riskier than the first and estimate that a 15% return is required to justify making this investment.
Present value of GBP1,350 in five years discounted at 15% =
The investment paying GBP1,000 in three years (discounted at 9%) is, in this situation, preferable than the investment paying GBP1,350 in five years (discounted at 15%) in present value terms. Its present value of GBP772.18 is larger than the present value of GBP671.19 on the five-year investment.
The example illustrated the following three elements that must be addressed while comparing investments:
The cash flows each investment will generate in the future
The timing of these financial flows
The risk involved with each investment, which is reflected in the discount rate
Present value evaluates the joint influence of these three components and gives an effective means of evaluating investments with varying risks that have different future cash flows at different points in time.
Net Present Value
Present value is useful for comparing investments when the beginning outlay for each investment is the same, as was the case in the previous example. But investments may not have the same initial cash outflow, and withdrawals may occur at times other than time zero (the time of the initial outflow). The net present value (NPV) of an investment is the present value of future cash flows or returns minus the present value of the cost of the investment (which typically, but not always, occurs solely in the initial period). Using NPV rather than present value to evaluate investments is especially relevant when the investments have differing initial costs. The example below shows this concept.
Example: Comparing Investments Using Net Present Value
The NPV of the investment in the above example that is paying GBP1,350 in five years (discounted at 15%) if it initially cost GBP500 is
£671.19 – £500.00 = £171.19
The NPV of the investment paying GBP1,000 in three years discounted at 9% if it initially cost GBP700 is
£772.18 – £700 = £72.18
This amount is less than GBP171.19, making the investment paying GBP1,350 in five years discounted at 15% worth more in present value terms.
If expenses were to occur at times distinct from time zero, then they would likewise be discounted back to time zero for the purposes of comparison and computation of the NPV. If the NPV is zero or larger, the investment is yielding at least the discount rate. An NPV of less than zero implies that the investment is generating less than the discount rate, hence should not be made.
Application of the Time Value of Money
The time worth of money notion can help address many typical financial challenges. If you save in a deposit account, it can inform you by how much your money will grow over a specific number of years. Time value of money problems can involve both positive cash flows (inflows or saves) and negative cash flows (outflows or withdrawals).
The example illustrated the following three elements that must be addressed while comparing investments:
The cash flows each investment will generate in the future
The timing of these financial flows
The risk involved with each investment, which is reflected in the discount rate
Present value evaluates the joint influence of these three components and gives an effective means of evaluating investments with varying risks that have different future cash flows at different points in time.
Net Present Value
Present value is useful for comparing investments when the beginning outlay for each investment is the same, as was the case in the previous example. But investments may not have the same initial cash outflow, and withdrawals may occur at times other than time zero (the time of the initial outflow). The net present value (NPV) of an investment is the present value of future cash flows or returns minus the present value of the cost of the investment (which typically, but not always, occurs solely in the initial period). Using NPV rather than present value to evaluate investments is especially relevant when the investments have differing initial costs. The example below shows this concept.
Example: Comparing Investments Using Net Present Value
The NPV of the investment in the above example that is paying GBP1,350 in five years (discounted at 15%) if it initially cost GBP500 is
£671.19 – £500.00 = £171.19
The NPV of the investment paying GBP1,000 in three years discounted at 9% if it initially cost GBP700 is
£772.18 – £700 = £72.18
This amount is less than GBP171.19, making the investment paying GBP1,350 in five years discounted at 15% worth more in present value terms.
If expenses were to occur at times distinct from time zero, then they would likewise be discounted back to time zero for the purposes of comparison and computation of the NPV. If the NPV is zero or larger, the investment is yielding at least the discount rate. An NPV of less than zero implies that the investment is generating less than the discount rate, hence should not be made.
Application of the Time Value of Money
The time worth of money notion can help address many typical financial challenges. If you save in a deposit account, it can inform you by how much your money will grow over a specific number of years. Time value of money problems can involve both positive cash flows (inflows or saves) and negative cash flows (outflows or withdrawals).
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Investment- Time Value of Money
Valuing cash flows, which occur over multiple times, is an essential topic in finance. You may be concerned with how much money you will have in the future (the future value) as a result of saving or investing over time. You may wish to know how much you should save in a particular amount of time to amass a specified quantity in the future. You may want to know what your expected return is on an investment with defined cash flows at different periods in time.
These types of difficulties occur every day in investing (e.g., in buying a bond), personal finance (e.g., in arranging an automotive loan or a mortgage), and corporate finance (e.g., in determining whether to develop a factory). These problems are known as ‘time value of money’ problems because their solutions reflect the idea that the timing of a cash flow influences the cash flow’s worth.
Interest
Borrowing and lending are transactions with cash flow repercussions. Someone who wants money borrows it from someone who does not need it in the moment (a saver) and is ready to lend it. In the present, the borrower has gotten money and the lender has given up money. In the future, the borrower will give up money to pay back the lender; the lender will get money as repayment from the borrower in the form of interest, as indicated below.
The lender will also receive back the money originally lent to the borrower. The money originally borrowed, which interest is computed on, is termed the principle. Interest can be described as payment for the use of borrowed money.
Hence, interest is additional money paid on top of the original amount borrowed on a loan or received on top of a deposit in a savings or investment account. Interest is paid by a borrower and earned by the lender to compensate the lender for opportunity cost and risk. Opportunity cost, in general, is the worth of other alternatives that have been given up by the lender, including lending to others, investing elsewhere, or simply spending the money. The following display provides examples of borrowers and lenders.
Interest Payment for the usage of borrowed money
Borrower
Someone or an entity who needs money and borrows it from someone or an entity who can lend it
Lender Someone or an entity who lends money to someone or an entity who needs it
Opportunity Cost
The cost of any activity defined in terms of the value of the best alternative that is not chosen; the value that investors forfeit by adopting a certain course of action.
Money Money originally borrowed, on which interest is computed
Simple Interest
A simple interest rate is the cost to the borrower or the rate of return to the lender, per period, on the original principal (the amount borrowed). Conventionally, interest rates are presented as annual rates, hence the period is presumed to be one year unless stated otherwise. The cost or return is presented as a percentage rate of the initial principal, so the rates can then be compared, independent of the amount of principal they apply to.
For example, a loan with a 5% interest rate is more expensive to the borrower than a loan with a 3% interest rate. Similarly, a loan with a 5% interest rate delivers a higher projected return to the lender than a loan with a 3% interest rate.
Simple Interest Rate Calculations
The actual amount of interest earned or paid relies on the simple interest rate, the amount of principal lent or borrowed, and the number of periods over which it is lent or borrowed. We show this mathematically in the following situation.
Simple interest = Simple interest rate × Principal × Number of periods
If you deposit money in a bank account and the bank offers a simple interest rate of 10% per annum (or annually), then for every GBP100 you put in, you (as a lender to the bank) will earn GBP10 in the course of the year (assuming at year-end to simplify calculations):
Interest = 0.10 × £100 × 1 = £10
If your money is left in the bank for two years, the interest paid will be GBP20:
Interest = 0.10 × £100 × 2 = £20
Simple interest is not reinvested and is applied just to the original principle.
Compound Interest
Interest compounds when it is added to the initial principal. Compound interest is commonly referred to as ‘interest on interest’. As opposed to simple interest, interest is supposed to be reinvested so future interest is earned on principal and reinvested interest, not simply on the initial principal.
If a deposit of GBP100 is made and earns 10% and the money is reinvested (remains on deposit), then further interest is gained in the course of the second year on the GBP10 of interest obtained in the first year. The interest is being compounded. Total interest after two years will now be GBP21; GBP10 (= £100 × 0.10) for the first year, plus GBP11 (= £110 × 0.10) for the second year.
The second year’s interest is calculated on the initial GBP100 principal plus the first year’s interest of GBP10. As seen in the next display, the total interest after two years is GBP21 rather than GBP20 as in the case of simple interest indicated in the preceding example.
Calculating Compound Interest of 10% on GBP100 Original Principal :
The link between the original principal and its future value when interest is compounded can be defined as follows:
Future value = Original principal × (1 + Simple interest rate)Number of periods
In the deposit example, £100 × (1 + 0.10)2 = £100 × (1.10)2 = £121. With compounding, the value at the end of two years is GBP121.
Compound interest is incredibly strong for savers; reinvesting the interest collected on investments is a technique of boosting funds.
Annual Percentage Rate
The rate mentioned is frequently the annual percentage rate (APR), which is a simple interest rate that does not require compounding.
Effective Annual Rate
Another often used rate is the effective annual rate (EAR). This rate includes annualising, by compounding, a rate that is paid more than once a year — commonly monthly, quarterly, or semiannually.
Whenever an interest rate compounds more than annually, in general, the EAR is bigger than the APR. In other words, more frequent compounding leads to a greater EAR.
Valuing cash flows, which occur over multiple times, is an essential topic in finance. You may be concerned with how much money you will have in the future (the future value) as a result of saving or investing over time. You may wish to know how much you should save in a particular amount of time to amass a specified quantity in the future. You may want to know what your expected return is on an investment with defined cash flows at different periods in time.
These types of difficulties occur every day in investing (e.g., in buying a bond), personal finance (e.g., in arranging an automotive loan or a mortgage), and corporate finance (e.g., in determining whether to develop a factory). These problems are known as ‘time value of money’ problems because their solutions reflect the idea that the timing of a cash flow influences the cash flow’s worth.
Interest
Borrowing and lending are transactions with cash flow repercussions. Someone who wants money borrows it from someone who does not need it in the moment (a saver) and is ready to lend it. In the present, the borrower has gotten money and the lender has given up money. In the future, the borrower will give up money to pay back the lender; the lender will get money as repayment from the borrower in the form of interest, as indicated below.
The lender will also receive back the money originally lent to the borrower. The money originally borrowed, which interest is computed on, is termed the principle. Interest can be described as payment for the use of borrowed money.
Hence, interest is additional money paid on top of the original amount borrowed on a loan or received on top of a deposit in a savings or investment account. Interest is paid by a borrower and earned by the lender to compensate the lender for opportunity cost and risk. Opportunity cost, in general, is the worth of other alternatives that have been given up by the lender, including lending to others, investing elsewhere, or simply spending the money. The following display provides examples of borrowers and lenders.
Interest Payment for the usage of borrowed money
Borrower
Someone or an entity who needs money and borrows it from someone or an entity who can lend it
Lender Someone or an entity who lends money to someone or an entity who needs it
Opportunity Cost
The cost of any activity defined in terms of the value of the best alternative that is not chosen; the value that investors forfeit by adopting a certain course of action.
Money Money originally borrowed, on which interest is computed
Simple Interest
A simple interest rate is the cost to the borrower or the rate of return to the lender, per period, on the original principal (the amount borrowed). Conventionally, interest rates are presented as annual rates, hence the period is presumed to be one year unless stated otherwise. The cost or return is presented as a percentage rate of the initial principal, so the rates can then be compared, independent of the amount of principal they apply to.
For example, a loan with a 5% interest rate is more expensive to the borrower than a loan with a 3% interest rate. Similarly, a loan with a 5% interest rate delivers a higher projected return to the lender than a loan with a 3% interest rate.
Simple Interest Rate Calculations
The actual amount of interest earned or paid relies on the simple interest rate, the amount of principal lent or borrowed, and the number of periods over which it is lent or borrowed. We show this mathematically in the following situation.
Simple interest = Simple interest rate × Principal × Number of periods
If you deposit money in a bank account and the bank offers a simple interest rate of 10% per annum (or annually), then for every GBP100 you put in, you (as a lender to the bank) will earn GBP10 in the course of the year (assuming at year-end to simplify calculations):
Interest = 0.10 × £100 × 1 = £10
If your money is left in the bank for two years, the interest paid will be GBP20:
Interest = 0.10 × £100 × 2 = £20
Simple interest is not reinvested and is applied just to the original principle.
Compound Interest
Interest compounds when it is added to the initial principal. Compound interest is commonly referred to as ‘interest on interest’. As opposed to simple interest, interest is supposed to be reinvested so future interest is earned on principal and reinvested interest, not simply on the initial principal.
If a deposit of GBP100 is made and earns 10% and the money is reinvested (remains on deposit), then further interest is gained in the course of the second year on the GBP10 of interest obtained in the first year. The interest is being compounded. Total interest after two years will now be GBP21; GBP10 (= £100 × 0.10) for the first year, plus GBP11 (= £110 × 0.10) for the second year.
The second year’s interest is calculated on the initial GBP100 principal plus the first year’s interest of GBP10. As seen in the next display, the total interest after two years is GBP21 rather than GBP20 as in the case of simple interest indicated in the preceding example.
Calculating Compound Interest of 10% on GBP100 Original Principal :
The link between the original principal and its future value when interest is compounded can be defined as follows:
Future value = Original principal × (1 + Simple interest rate)Number of periods
In the deposit example, £100 × (1 + 0.10)2 = £100 × (1.10)2 = £121. With compounding, the value at the end of two years is GBP121.
Compound interest is incredibly strong for savers; reinvesting the interest collected on investments is a technique of boosting funds.
Annual Percentage Rate
The rate mentioned is frequently the annual percentage rate (APR), which is a simple interest rate that does not require compounding.
Effective Annual Rate
Another often used rate is the effective annual rate (EAR). This rate includes annualising, by compounding, a rate that is paid more than once a year — commonly monthly, quarterly, or semiannually.
Whenever an interest rate compounds more than annually, in general, the EAR is bigger than the APR. In other words, more frequent compounding leads to a greater EAR.
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Investment - Managed Account
An investment service that puts together and oversees an investor's portfolio is called a managed account. With a managed account, investors enter into a contract with financial advisors to manage their assets in accordance with their personal investing goals. Typically, these financial advisors offer to carry out particular trading methods in return for an advice fee or commissions on the deals they suggest. Fee-based investment advisors are becoming more and more popular among investors as a way to guarantee that these advisors won't benefit from suggesting excessive trading.
Investment managers have the option to hold the assets of their institutional clients in commingled or separate accounts.
The capital of two or more investors is combined and handled collaboratively in a commingled account. However, even if the investment manager employs the same investing methods for both accounts, the money and securities in a separate account are always kept apart from the money and assets of other clients.
Wrap Accounts
Fee-based investment experts are used by institutional investors who do not handle their investments internally. Wrap accounts are a common way for retail investors to access fee-based investment professionals. The costs associated with investment services, including financial planning, investment accounting, investment advising, and brokerage, are combined into a single bundled fee in a wrap account. The charge can be paid quarterly or annually, and it normally varies from 1% to 3% of the assets under management (AUM) annually. The market value of an investor's investment portfolio is represented by the AUM. These fees pay for costs that the investing experts incur in administration, commissions, and management.
Tax Advantaged Accounts
Generally speaking, investors can defer paying taxes on investment income and capital gains as they are earned by using tax-advantaged accounts. Investor contributions to these accounts might also have tax benefits. Investors accept significant limitations on when they can withdraw their money from the account and occasionally on how they can spend it in exchange for these benefits. These accounts are known as self-invested personal pension (SIPP) accounts in the UK and as individual retirement accounts (IRAs) and 401(k) plans in the US. These accounts can be self-directed or managed by financial advisors.
Contributions to specific tax-advantaged accounts are often tax deductible in many nations, which lowers the amount of income subject to taxes. Contributions to retirement funds are frequently tax deductible.
Contributions to pension plans by employers or workers, as well as individual contributions to certain retirement account types, are generally tax deductible up to certain limits. These accounts are permitted to develop tax-free, meaning that any income or capital gains accumulated by the account—should it be left unopened—will not be subject to taxation. However, taxes may become payable at the time of final withdrawal, usually at a lower rate. Distributions from most retirement accounts are subject to ordinary income tax.
Investors can fund tax-advantaged accounts with after-tax money in certain countries. The money left over after gifts and taxable income are deducted from taxes is known as after-tax funds. The money grows tax-free in tax-advantaged accounts. Taxes, if any, are only deducted when money is withdrawn and are limited to capital gains and total investment income realized during the investment period. The principal—the initial investment—was taxed only once and is not subject to further taxes.
Certain nations permit tax-free distributions of funds from specific tax-advantaged accounts provided the funds are utilized for healthcare or post-secondary education. Retirement account distributions are typically subject to regular income taxation.
Governments often forbid early withdrawals from tax-advantaged accounts or withdrawals made for unauthorized reasons. If these withdrawals are allowed, there are usually penalties and upfront taxes. Investors can get around these limitations in some nations and for some types of accounts by taking out loans against the value of their accounts.
An investment service that puts together and oversees an investor's portfolio is called a managed account. With a managed account, investors enter into a contract with financial advisors to manage their assets in accordance with their personal investing goals. Typically, these financial advisors offer to carry out particular trading methods in return for an advice fee or commissions on the deals they suggest. Fee-based investment advisors are becoming more and more popular among investors as a way to guarantee that these advisors won't benefit from suggesting excessive trading.
Investment managers have the option to hold the assets of their institutional clients in commingled or separate accounts.
The capital of two or more investors is combined and handled collaboratively in a commingled account. However, even if the investment manager employs the same investing methods for both accounts, the money and securities in a separate account are always kept apart from the money and assets of other clients.
Wrap Accounts
Fee-based investment experts are used by institutional investors who do not handle their investments internally. Wrap accounts are a common way for retail investors to access fee-based investment professionals. The costs associated with investment services, including financial planning, investment accounting, investment advising, and brokerage, are combined into a single bundled fee in a wrap account. The charge can be paid quarterly or annually, and it normally varies from 1% to 3% of the assets under management (AUM) annually. The market value of an investor's investment portfolio is represented by the AUM. These fees pay for costs that the investing experts incur in administration, commissions, and management.
Tax Advantaged Accounts
Generally speaking, investors can defer paying taxes on investment income and capital gains as they are earned by using tax-advantaged accounts. Investor contributions to these accounts might also have tax benefits. Investors accept significant limitations on when they can withdraw their money from the account and occasionally on how they can spend it in exchange for these benefits. These accounts are known as self-invested personal pension (SIPP) accounts in the UK and as individual retirement accounts (IRAs) and 401(k) plans in the US. These accounts can be self-directed or managed by financial advisors.
Contributions to specific tax-advantaged accounts are often tax deductible in many nations, which lowers the amount of income subject to taxes. Contributions to retirement funds are frequently tax deductible.
Contributions to pension plans by employers or workers, as well as individual contributions to certain retirement account types, are generally tax deductible up to certain limits. These accounts are permitted to develop tax-free, meaning that any income or capital gains accumulated by the account—should it be left unopened—will not be subject to taxation. However, taxes may become payable at the time of final withdrawal, usually at a lower rate. Distributions from most retirement accounts are subject to ordinary income tax.
Investors can fund tax-advantaged accounts with after-tax money in certain countries. The money left over after gifts and taxable income are deducted from taxes is known as after-tax funds. The money grows tax-free in tax-advantaged accounts. Taxes, if any, are only deducted when money is withdrawn and are limited to capital gains and total investment income realized during the investment period. The principal—the initial investment—was taxed only once and is not subject to further taxes.
Certain nations permit tax-free distributions of funds from specific tax-advantaged accounts provided the funds are utilized for healthcare or post-secondary education. Retirement account distributions are typically subject to regular income taxation.
Governments often forbid early withdrawals from tax-advantaged accounts or withdrawals made for unauthorized reasons. If these withdrawals are allowed, there are usually penalties and upfront taxes. Investors can get around these limitations in some nations and for some types of accounts by taking out loans against the value of their accounts.
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Investment - Fund of Funds
Investment entities known as funds of funds (FOF) invest in other funds. Both active and passive management are possible for them. Funds of funds typically make investments in hedge funds, private equity funds, and mutual funds. FOFs provide small investors with access to certain investment opportunities that they would not otherwise be able to.
Strategies for Funds of Funds
Most actively managed funds of funds are characterized by two primary investing strategies. Certain FOF managers seek out funds managed by managers they think will beat the market and invest in them. Some forecast which investing methods are most likely to succeed using proprietary models, and then they invest in funds that put those ideas into practice. In order to lower total risk, managers diversify their portfolios among industries, asset classes, investment managers, and strategies in both approaches.
An investor who commits to a fund of funds has no idea what the fund will be made up of and is depending on the FOF's experienced investment manager to make the right investments. Consequently, compared to direct investment by the investor, there is less control over the investments.
Due to the fact that investors must pay two levels of fees, investment in an actively managed fund of funds can be expensive.
First layer of fees: Usually the "2 and 20" compensation system, management and performance fees are paid directly to the fund of funds manager.
The second layer of fees
expenses incurred by paying the investment managers of the funds the fund is invested in, which results in reduced returns.
Individual investors are not in the best position to conduct research on funds; fund of funds investment professionals are. Additionally, individual investors can access a diverse portfolio through fund of funds, which can diversify into assets like private equity that they would not often have access to. For individual investors, funds of funds therefore offer an operational benefit.
Hedge Funds' Funds
A fund of hedge funds enables smaller investors to join without having to meet the regulatory requirements for investing in hedge funds, whereas hedge firms require investors to be accredited or experienced. However, considering the performance fees that hedge fund managers receive, investors might have to pay exceptionally large management costs. Gains from investments in some hedge funds in a well-diversified hedge fund are frequently offset by losses in other firms. The hedge fund of hedge funds distributes its gains in these funds with the winning hedge fund managers by paying them performance fees. However, hedge fund managers that lose money do not take their hedge funds' losses into account. Fund-of-hedge-funds investors will not make money overall if gains and losses are equal, but they will still have to pay the winning managers large performance fees.
A fund of hedge funds is even more challenging to assess, given that hedge funds can contain illiquid assets, making them challenging to value. Furthermore, it could be challenging to liquidate an investment because hedge fund shares are not listed on an exchange.
Investment entities known as funds of funds (FOF) invest in other funds. Both active and passive management are possible for them. Funds of funds typically make investments in hedge funds, private equity funds, and mutual funds. FOFs provide small investors with access to certain investment opportunities that they would not otherwise be able to.
Strategies for Funds of Funds
Most actively managed funds of funds are characterized by two primary investing strategies. Certain FOF managers seek out funds managed by managers they think will beat the market and invest in them. Some forecast which investing methods are most likely to succeed using proprietary models, and then they invest in funds that put those ideas into practice. In order to lower total risk, managers diversify their portfolios among industries, asset classes, investment managers, and strategies in both approaches.
An investor who commits to a fund of funds has no idea what the fund will be made up of and is depending on the FOF's experienced investment manager to make the right investments. Consequently, compared to direct investment by the investor, there is less control over the investments.
Due to the fact that investors must pay two levels of fees, investment in an actively managed fund of funds can be expensive.
First layer of fees: Usually the "2 and 20" compensation system, management and performance fees are paid directly to the fund of funds manager.
The second layer of fees
expenses incurred by paying the investment managers of the funds the fund is invested in, which results in reduced returns.
Individual investors are not in the best position to conduct research on funds; fund of funds investment professionals are. Additionally, individual investors can access a diverse portfolio through fund of funds, which can diversify into assets like private equity that they would not often have access to. For individual investors, funds of funds therefore offer an operational benefit.
Hedge Funds' Funds
A fund of hedge funds enables smaller investors to join without having to meet the regulatory requirements for investing in hedge funds, whereas hedge firms require investors to be accredited or experienced. However, considering the performance fees that hedge fund managers receive, investors might have to pay exceptionally large management costs. Gains from investments in some hedge funds in a well-diversified hedge fund are frequently offset by losses in other firms. The hedge fund of hedge funds distributes its gains in these funds with the winning hedge fund managers by paying them performance fees. However, hedge fund managers that lose money do not take their hedge funds' losses into account. Fund-of-hedge-funds investors will not make money overall if gains and losses are equal, but they will still have to pay the winning managers large performance fees.
A fund of hedge funds is even more challenging to assess, given that hedge funds can contain illiquid assets, making them challenging to value. Furthermore, it could be challenging to liquidate an investment because hedge fund shares are not listed on an exchange.
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Investment - Hedge Funds
Hedge funds, another sort of pooled investment vehicle, are less generally used by investors than index funds since they tend to be more sophisticated, less transparent, less liquid, and carry greater charges and high minimum investment levels.
Characteristics of Hedge Funds
Hedge funds are private investment pools that managers organise and manage to follow varied investment strategies. The phrase ‘hedge’, as a noun or verb, often refers to the practice of buying one asset and selling an associated asset to decrease or eliminate market risk. Although hedge funds may participate in some hedging, it is not the distinguishing trait of most of them.
Hedge funds are distinguished from other pooled investment vehicles principally by: -their availability to a limited number of investors, namely experienced or accredited investors as specified by authorities,
-agreements that lock up investors’ capital for defined durations, and
-their managers’ performance-based compensation.
Their techniques are frequently beyond the boundaries of standard closed-end funds and open-end mutual funds that are actively managed. Hedge funds use leveraging and short-selling, for instance, which are tactics not generally used by mutual funds.
This form of leverage is termed a short position, and this type of technique is also referred to as short selling.
Hedge funds are available only to investors who meet wealth, income, and investment knowledge criteria that regulators set. The standards are aimed to ensure that these investment vehicles are suitable for their investors.
Most money invested in hedge funds comes from major institutional investors, such as pension funds, university endowment funds, and sovereign wealth funds, as well as from high-net-worth individuals.
Funds that participate in high-frequency techniques often have shorter lock-up periods than funds that take significantly more time to realise predicted returns. Longer-term options include changing corporate governance rather than attempting just to purchase low and sell high.
Hedge fund managers often get an annual management fee plus a performance fee that is often stated as a percentage of the returns that they create in excess of a hurdle rate.
For example, a manager who receives ‘2 and 20’ remuneration will receive 2% of the fund assets in management fees per year, plus a performance fee of 20% of the return on the fund assets that surpasses the hurdle rate.
Hurdle Rate Example
Assume that the assets under management are GBP1 million, that the hurdle rate is 5%, and that the return on the fund assets for the year is 17%. As demonstrated in the image, the excess return, which is the return in excess of the hurdle rate, is 12%. Based on ‘2 and 20’ compensation, the hedge fund manager will get an annual management fee of GBP20,000 (= 2% x £1,000,000) and a performance fee of GBP24,000 [= (17% - 5%) x £1,000,000 x 20%] for a total compensation of GBP44,000.
The investors’ return net of costs is GBP126,000 [= (17% x £1,000,000) – £44,000] or 12.6%.
Hedge fund managers normally collect the performance fee only if the fund is above its high-water mark. The high-water mark shows the maximum value, net of fees, that the fund has reached at any time in the past, as seen in the example below. The high-water mark provision assures that investors pay the managers only for net returns computed from the initial investment, and not for earnings that recoup prior losses. It is sometimes termed the loss-carryback provision.
Some managers terminate their funds and start afresh when they encounter big losses since they know they may never surpass their high-water mark and thus will not collect performance fees. Restarting gives managers a new high-water point. But it does not always fix their situation. Managers who have performed poorly may have difficulty raising additional cash from investors.
Investors pay large performance fees in the notion that the fees give significant incentives to managers to perform successfully. These incentives work when the fund is near its high-water point, but they are less potent when the fund has done poorly.
Risks
Although some hedge funds are not extremely dangerous, high performance fees incentivize some fund managers to take large risks. Hedge funds may enhance their risk exposure through leverage, employing borrowed funds or derivatives.This form of leverage is termed a short position, and this type of technique is also referred to as short selling. Hedge funds may also pay for illiquid investments, such as distressed enterprises, which makes it difficult to assess the investment.
On the one hand, if their investments are successful, the performance fee can make managers immensely wealthy. On the other side, if the hedge fund suffers bad results, the investors lose their total investment, while the managers lose merely the opportunity to stay in business. This disparity can induce significant risk-taking.
Investment managers regularly join as investors in their own hedge funds. These co-investments assure their investors that their interests are aligned with their management. Such assurances help managers raise capital.
Most hedge funds are open-end investment entities that allow new investors to get in and existing investors to leave at the net asset value (NAV). But most funds only enable investors to withdraw funds following a lock-up period and then only on particular dates.
Legal Structure and Taxes
The legal structure and legal domicile of hedge funds often depend on their managers’ and investors’ tax status. For example, most hedge funds serving US clients are formed as domestic limited partnerships in which the management is the general partner, and the investors are the limited partners. This structure, similar to the structure of private equity funds — which will be examined in Course 3, Investment Instruments — enables for portion of the fees to be classified as capital gains rather than ordinary income and thus taxed at a lower rate.
Some hedge funds are domiciled in offshore financial centres where tax rates may be cheaper or not applicable. These locations are often referred to as tax havens. The Cayman Islands are a popular domicile for hedge funds, providing tax advantages and friendly rules and regulations for investors and investment managers.
Hedge funds, another sort of pooled investment vehicle, are less generally used by investors than index funds since they tend to be more sophisticated, less transparent, less liquid, and carry greater charges and high minimum investment levels.
Characteristics of Hedge Funds
Hedge funds are private investment pools that managers organise and manage to follow varied investment strategies. The phrase ‘hedge’, as a noun or verb, often refers to the practice of buying one asset and selling an associated asset to decrease or eliminate market risk. Although hedge funds may participate in some hedging, it is not the distinguishing trait of most of them.
Hedge funds are distinguished from other pooled investment vehicles principally by: -their availability to a limited number of investors, namely experienced or accredited investors as specified by authorities,
-agreements that lock up investors’ capital for defined durations, and
-their managers’ performance-based compensation.
Their techniques are frequently beyond the boundaries of standard closed-end funds and open-end mutual funds that are actively managed. Hedge funds use leveraging and short-selling, for instance, which are tactics not generally used by mutual funds.
This form of leverage is termed a short position, and this type of technique is also referred to as short selling.
Hedge funds are available only to investors who meet wealth, income, and investment knowledge criteria that regulators set. The standards are aimed to ensure that these investment vehicles are suitable for their investors.
Most money invested in hedge funds comes from major institutional investors, such as pension funds, university endowment funds, and sovereign wealth funds, as well as from high-net-worth individuals.
Funds that participate in high-frequency techniques often have shorter lock-up periods than funds that take significantly more time to realise predicted returns. Longer-term options include changing corporate governance rather than attempting just to purchase low and sell high.
Hedge fund managers often get an annual management fee plus a performance fee that is often stated as a percentage of the returns that they create in excess of a hurdle rate.
For example, a manager who receives ‘2 and 20’ remuneration will receive 2% of the fund assets in management fees per year, plus a performance fee of 20% of the return on the fund assets that surpasses the hurdle rate.
Hurdle Rate Example
Assume that the assets under management are GBP1 million, that the hurdle rate is 5%, and that the return on the fund assets for the year is 17%. As demonstrated in the image, the excess return, which is the return in excess of the hurdle rate, is 12%. Based on ‘2 and 20’ compensation, the hedge fund manager will get an annual management fee of GBP20,000 (= 2% x £1,000,000) and a performance fee of GBP24,000 [= (17% - 5%) x £1,000,000 x 20%] for a total compensation of GBP44,000.
The investors’ return net of costs is GBP126,000 [= (17% x £1,000,000) – £44,000] or 12.6%.
Hedge fund managers normally collect the performance fee only if the fund is above its high-water mark. The high-water mark shows the maximum value, net of fees, that the fund has reached at any time in the past, as seen in the example below. The high-water mark provision assures that investors pay the managers only for net returns computed from the initial investment, and not for earnings that recoup prior losses. It is sometimes termed the loss-carryback provision.
Some managers terminate their funds and start afresh when they encounter big losses since they know they may never surpass their high-water mark and thus will not collect performance fees. Restarting gives managers a new high-water point. But it does not always fix their situation. Managers who have performed poorly may have difficulty raising additional cash from investors.
Investors pay large performance fees in the notion that the fees give significant incentives to managers to perform successfully. These incentives work when the fund is near its high-water point, but they are less potent when the fund has done poorly.
Risks
Although some hedge funds are not extremely dangerous, high performance fees incentivize some fund managers to take large risks. Hedge funds may enhance their risk exposure through leverage, employing borrowed funds or derivatives.This form of leverage is termed a short position, and this type of technique is also referred to as short selling. Hedge funds may also pay for illiquid investments, such as distressed enterprises, which makes it difficult to assess the investment.
On the one hand, if their investments are successful, the performance fee can make managers immensely wealthy. On the other side, if the hedge fund suffers bad results, the investors lose their total investment, while the managers lose merely the opportunity to stay in business. This disparity can induce significant risk-taking.
Investment managers regularly join as investors in their own hedge funds. These co-investments assure their investors that their interests are aligned with their management. Such assurances help managers raise capital.
Most hedge funds are open-end investment entities that allow new investors to get in and existing investors to leave at the net asset value (NAV). But most funds only enable investors to withdraw funds following a lock-up period and then only on particular dates.
Legal Structure and Taxes
The legal structure and legal domicile of hedge funds often depend on their managers’ and investors’ tax status. For example, most hedge funds serving US clients are formed as domestic limited partnerships in which the management is the general partner, and the investors are the limited partners. This structure, similar to the structure of private equity funds — which will be examined in Course 3, Investment Instruments — enables for portion of the fees to be classified as capital gains rather than ordinary income and thus taxed at a lower rate.
Some hedge funds are domiciled in offshore financial centres where tax rates may be cheaper or not applicable. These locations are often referred to as tax havens. The Cayman Islands are a popular domicile for hedge funds, providing tax advantages and friendly rules and regulations for investors and investment managers.
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Investment - Index Funds
Index Funds: One of the most popular forms of pooled investment vehicles, index funds are utilized extensively throughout most of the world and are passively managed. They are well-liked since they offer wide exposure to a certain asset class and are reasonably priced in comparison to a lot of other goods. Understanding security market indices is a prerequisite to comprehending index funds.
Many investment products, including index funds, are developed by the investing industry and are based on security market indices. A portfolio of securities designed to mimic the returns of a particular index, known as the benchmark index, is called an index fund. Because the manager of an index fund seeks to duplicate the benchmark index, index funds are passive investment strategies.
Because index funds closely mimic market returns, they are favored by both individual and institutional investors. The general attributes of index funds are as follows:
They have comparatively cheap management and trading expenses, are extremely transparent, and are widely diversified.
Because they don't engage in a lot of trading that could result in taxable capital gains, they are tax-efficient.
Purchasing open-end mutual funds that contain index portfolios is how the majority of ordinary investors and a large number of institutional investors participate in index funds.
In other words, they make their own index funds; a lot of big institutional investors have index portfolios in their investing accounts.
Some index fund managers use a tactic called full replication, when they invest in each security in the benchmark index. Because the securities may not be readily available in the necessary amounts or because the transaction costs associated with purchasing and holding every security included in the benchmark index are substantial, other index funds find it challenging to purchase and hold every security included in the index.
Sampling replication is the term for the approach used by index fund managers to invest in only a representative sample of the index securities if full replication proves to be too costly or impractical.
In order to cut expenses, managers of tiny funds, which follow indices comprising numerous stocks, frequently employ the sampling replication technique. The purpose of the sample is to replicate the index's returns using only a subset of the index's securities. The trading costs may be lower with this technique because it probably uses fewer securities.
Index funds do not trade once they are established unless the weightings require adjustment. When securities are added or removed from the list of index securities, adjustments are required in the event of index reconstitution. Index reconstitution affects all index funds. Furthermore, because the prices of the index's component parts fluctuate, equal-weighted index funds must trade in order to preserve their equal weighting. The capitalization-weighted index fund only requires rebalancing in the event that weightings are impacted by corporate actions, such as mergers and acquisitions.
Sometimes dividends or interest payments cause index funds to allocate their cash by purchasing equities. new net cash from investors, or new investments from them above their requests for withdrawals (redemptions), can also be considered an inflow. If investor withdrawal requests outweigh new investments, index funds might have to liquidate shares.
With typically minimal costs, index funds provide investors with a well-diversified investment portfolio. Because index funds follow the market or another benchmark, their value will decrease if the benchmark decreases. This is the drawback of index funds.
Index Funds: One of the most popular forms of pooled investment vehicles, index funds are utilized extensively throughout most of the world and are passively managed. They are well-liked since they offer wide exposure to a certain asset class and are reasonably priced in comparison to a lot of other goods. Understanding security market indices is a prerequisite to comprehending index funds.
Many investment products, including index funds, are developed by the investing industry and are based on security market indices. A portfolio of securities designed to mimic the returns of a particular index, known as the benchmark index, is called an index fund. Because the manager of an index fund seeks to duplicate the benchmark index, index funds are passive investment strategies.
Because index funds closely mimic market returns, they are favored by both individual and institutional investors. The general attributes of index funds are as follows:
They have comparatively cheap management and trading expenses, are extremely transparent, and are widely diversified.
Because they don't engage in a lot of trading that could result in taxable capital gains, they are tax-efficient.
Purchasing open-end mutual funds that contain index portfolios is how the majority of ordinary investors and a large number of institutional investors participate in index funds.
In other words, they make their own index funds; a lot of big institutional investors have index portfolios in their investing accounts.
Some index fund managers use a tactic called full replication, when they invest in each security in the benchmark index. Because the securities may not be readily available in the necessary amounts or because the transaction costs associated with purchasing and holding every security included in the benchmark index are substantial, other index funds find it challenging to purchase and hold every security included in the index.
Sampling replication is the term for the approach used by index fund managers to invest in only a representative sample of the index securities if full replication proves to be too costly or impractical.
In order to cut expenses, managers of tiny funds, which follow indices comprising numerous stocks, frequently employ the sampling replication technique. The purpose of the sample is to replicate the index's returns using only a subset of the index's securities. The trading costs may be lower with this technique because it probably uses fewer securities.
Index funds do not trade once they are established unless the weightings require adjustment. When securities are added or removed from the list of index securities, adjustments are required in the event of index reconstitution. Index reconstitution affects all index funds. Furthermore, because the prices of the index's component parts fluctuate, equal-weighted index funds must trade in order to preserve their equal weighting. The capitalization-weighted index fund only requires rebalancing in the event that weightings are impacted by corporate actions, such as mergers and acquisitions.
Sometimes dividends or interest payments cause index funds to allocate their cash by purchasing equities. new net cash from investors, or new investments from them above their requests for withdrawals (redemptions), can also be considered an inflow. If investor withdrawal requests outweigh new investments, index funds might have to liquidate shares.
With typically minimal costs, index funds provide investors with a well-diversified investment portfolio. Because index funds follow the market or another benchmark, their value will decrease if the benchmark decreases. This is the drawback of index funds.
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Investment - What is Decentralized Finance ( DeFi) ?
Imagine having the ability to send money straight from your bank account to another person's bank account using fiat currency, which is money that has been issued by the government, all without the need of a bank or the supporting infrastructure of the banking industry. Decentralized finance, or DeFi, is based on the idea of not depending on centralized functions.
Centralized versus Decentralized Finance: What's the Difference?
To trade, record, and manage financial transactions, traditional finance relies on centralized functions. This established quo is being challenged by Decentralised Finance (DeFi). This phrase refers to financial initiatives and apps that leverage blockchain technology to offer a decentralized substitute for conventional financial services.
An Overview of Blockchain
The first cryptocurrency, Bitcoin, was announced in 2008 by Satoshi Nakamoto in a paper titled "Bitcoin: A Peer-to-Peer Electronic Cash System," even though the concept of the blockchain came first. Unlike fiat currencies, which are issued by a central government and include the US dollar, the euro, and the Chinese yuan, cryptocurrency, also referred to as digital money, is an electronic currency made of encrypted data that serves as a medium of exchange.
A distributed blockchain based on hashing and proof of work (POW) is used by Bitcoin to create an unchangeable record of all transactions. Let's examine each of these points in more detail. The flashcards that follow go into detail into ledgers, blockchains, and hash-based proof of work.
A program has transformed any text, audio, or video data for a transaction into a distinct, encrypted output that functions as a fingerprint of the original data. This is known as hash-based proof of work. A distinct hash is generated when any component of the input data is altered. The function of proof of work efforts is to verify and examine the veracity of newly added transactions to a blockchain.
Again using hash-based proof of work, blockchains are composed of blocks that are connected by hashing, and anybody can access their distributed network. In a peer-to-peer network, a blockchain records transactions and keeps track of them through independent computers known as nodes.
The transactions are recorded by the nodes of the blockchain, which functions as a distributed ledger—a database that is shared by numerous parties and not under the control of a single institution. A financial institution's traditional, centralised ledger is in contrast to a distributed ledger.
Though conceptually straightforward, putting this new database design into practice required overcoming formidable technological obstacles that had baffled computer scientists since the 1980s. How do you ensure that all versions of the same database are identical, updated synchronously, and represent only legitimate transactions when there are a million copies of it scattered over a million machines and no one is in control? Stated differently, what are the reliable methods for reaching a consensus on what is true and accurate?
The true innovation of blockchains lies in its ability to solve this conundrum: generating timely, bad-actor-proof consensus among all copies of a distributed, decentralized database.
What Are the Tasks of Miners?
An individual who validates transactions in a blockchain and receives payment for their computational efforts is known as a miner. The proof of work is a computational challenge that miners strive to solve first. Miners increase the amount of cryptocurrency available by adding new blocks.
Proof of stake serves as an alternative to proof of work. A stake is made by participants in a proof of stake paradigm in order to act as validators. The platform then gives a validator the task of proving the following block at random. Once they have resolved the computational issue, the other validators offer agreement. With this method, the competition that comes with proof of work is eliminated, as miners are no longer competing with one another to solve the next block's puzzle and earn rewards. The proof of stake significantly reduces energy usage.
Permissionless blockchains are those that are publicly accessible, like Bitcoin. Anyone can transact on it, become a miner, or run a node using the publicly available code. Blockchains aren't all public, though. There are two types of blockchains: consortium blockchains, which are comprised of the companies in the delivery chain and may be suitable when utilizing blockchain technology to create a logistics platform. Private blockchains are accessible, with membership restricted to invitations only.
Blockchain Technology and Stablecoins
Most likely, the most well-known cryptocurrency is Bitcoin. There are more than 10,000 cryptocurrencies, so choosing one to hold or invest in requires research and knowledge of the industry.
Stablecoins is a term used to describe some of these currencies. A cryptocurrency that is tied to another asset or group of assets is known as a stablecoin. They are called fiat-collateralized because they are linked to a fiat currency, such the US dollar. The value of the underlying asset—in this case, the fiat currency—variates with their actual worth.
In conventional finance, the US dollar and the majority of fiat currencies are linked to gold or another underlying asset.
Because of the way they are pegged, the way their governance is set up, or the makeup of their reserve assets, stablecoins do not necessarily trade exactly in line with their pegged asset.
Values of cryptocurrencies can fluctuate greatly; stablecoins are no exception. What causes this fluctuation?
Similar to any other asset, demand and supply—both of which are finite—have an impact on value.
The deals made by major companies have an impact on market values.
Speculation fluctuates, impacted by media and economic factors.
Ethereum
Ethereum is a public blockchain, just like Bitcoin, that supports the majority of DeFi protocols and tiny programs known as smart contracts. While Bitcoin is primarily a transaction blockchain that uses proof of work to offer the framework for value transfers in the form of Bitcoin, Ethereum is also a public blockchain. The name of its native cryptocurrency is Ether.
On the Ethereum blockchain, every transaction has an associated cost. Gas is the name of this transaction cost; it is automatically subtracted from the account of the person who initiated the transaction and is paid in ether. A solitary transaction may entail numerous processes and be highly intricate. The transaction ends and everything returns to its initial state if there is not enough Ether in the account to cover each phase of the transaction. The person who started the transaction but ran out of gas will forfeit the gas they have already used to finish the transaction, but they will receive nothing in return. All blockchains, including the Bitcoin blockchain, charge for transactions, but Ethereum has its own currency called gas.
Smart Contract
A smart contract is a type of transaction protocol used in blockchain networks that automatically logs, manages, and carries out procedures or transactions on behalf of the parties involved.
These contracts can be directly interacted with by Ethereum network users, eliminating all counterparty risk. More transactional possibilities are created by these little programs than only value transfers. In order to interact with these smart contracts, users must have an Ethereum network-compatible cryptocurrency wallet, which is effectively a password-protected place to access cryptocurrency. In order to transact and pay the gas price, users also require Ether.
After discussing the idea of smart contracts, let's discuss several key positions in the DeFi ecosystem: automated market makers, keepers, and oracles. To find out more about each of these DeFi principles, select the corresponding tabs.
ORACLES
Any data source that reports information outside of the blockchain is referred to as an oracle in the context of smart contract platforms. For instance, market data may be provided by an oracle, and smart contracts may then act in response to that data. While certain DeFi protocols might rely on a third-party oracle like Chainlink, many others host their own oracle.
KEEPERS
A lot of DeFi protocols depend too much on collateralization. However, what occurs if the collateral loses value and is no longer worth the requisite sum? In conventional finance, a broker would want more margin in order to increase the collateral's value, but brokers do not exist in DeFi. Rather, unaffiliated entities known as keepers oversee collateralized holdings and eliminate those that lose their collateralization. The smart contract's integrity is safeguarded by this step. Reward is given to keepers for their efforts.
AUTOMATED MARKET MARKERS
A market maker, also known as a liquidity provider, quotes the bid-ask spread—the price at which an item is bought and sold—in conventional finance. The market maker will run out of the asset and will need to purchase more if more customers purchase from them than sell to them. As a result, they would alter the price they quote to make their selling price appear less appealing and their bid appear more appealing. Their price reacts to market demand in this way. An automated market maker (AMM) is a tool for trading in decentralized exchanges that uses algorithms to price assets in a decentralized system.
Risks
Many of the issues with traditional finance—such as centralized control, restricted access, inefficiency, lack of interoperability, and opacity—are resolved by blockchain-based protocols. DeFi also gets rid of some of the counterparty risk and other concerns that come with traditional finance. However, there are hazards associated with DeFi as well, some of which are specific to the platform and smart contracts.
Technology Risks
A smart contract is a piece of code that has two potential risks: -logic errors in the code; -contracts being utilized in a way that the developers did not anticipate, which could lead to poor administration and economic exploitation.
Oracle Risks
Oracles are vulnerable to hacking, and the data they receive is modified.
Keeper Danger
Users can transfer bitcoin in the blockchain and access their crypto assets through a crypto wallet, which functions similarly to a bank account. Wallets can be hosted through an app, with the third party managing the digital account as the host. Certain wallets enable users to carry out additional blockchain transactions.
A private key is needed to open wallets and carry out transactions. A private key can be compared to a very complex password.These keys are vulnerable to hackers if they are maintained online. A person's wallet may be completely emptied of all assets with no possibility of recovery if private keys are stolen.
Additional RIsks
Other dangers exist as well; not all of them are exclusive to DeFi. Since regulators are keeping a close eye on the cryptocurrency sector, regulatory risk is significant.
Among the regulatory measures they take into account are the determination that cryptocurrency exchanges have to register and that some cryptocurrency assets should be governed by the same regulations as securities. Regulation will increase rather than decrease in the future.
Ultimately, it is critical to understand that the cryptocurrency industry operates online and is vulnerable to hacking and domain name system (DNS) attacks, just like any other internet industry. Additionally, a lot of successful thefts have happened as a result of account holders being convinced to divulge their passwords.
Imagine having the ability to send money straight from your bank account to another person's bank account using fiat currency, which is money that has been issued by the government, all without the need of a bank or the supporting infrastructure of the banking industry. Decentralized finance, or DeFi, is based on the idea of not depending on centralized functions.
Centralized versus Decentralized Finance: What's the Difference?
To trade, record, and manage financial transactions, traditional finance relies on centralized functions. This established quo is being challenged by Decentralised Finance (DeFi). This phrase refers to financial initiatives and apps that leverage blockchain technology to offer a decentralized substitute for conventional financial services.
An Overview of Blockchain
The first cryptocurrency, Bitcoin, was announced in 2008 by Satoshi Nakamoto in a paper titled "Bitcoin: A Peer-to-Peer Electronic Cash System," even though the concept of the blockchain came first. Unlike fiat currencies, which are issued by a central government and include the US dollar, the euro, and the Chinese yuan, cryptocurrency, also referred to as digital money, is an electronic currency made of encrypted data that serves as a medium of exchange.
A distributed blockchain based on hashing and proof of work (POW) is used by Bitcoin to create an unchangeable record of all transactions. Let's examine each of these points in more detail. The flashcards that follow go into detail into ledgers, blockchains, and hash-based proof of work.
A program has transformed any text, audio, or video data for a transaction into a distinct, encrypted output that functions as a fingerprint of the original data. This is known as hash-based proof of work. A distinct hash is generated when any component of the input data is altered. The function of proof of work efforts is to verify and examine the veracity of newly added transactions to a blockchain.
Again using hash-based proof of work, blockchains are composed of blocks that are connected by hashing, and anybody can access their distributed network. In a peer-to-peer network, a blockchain records transactions and keeps track of them through independent computers known as nodes.
The transactions are recorded by the nodes of the blockchain, which functions as a distributed ledger—a database that is shared by numerous parties and not under the control of a single institution. A financial institution's traditional, centralised ledger is in contrast to a distributed ledger.
Though conceptually straightforward, putting this new database design into practice required overcoming formidable technological obstacles that had baffled computer scientists since the 1980s. How do you ensure that all versions of the same database are identical, updated synchronously, and represent only legitimate transactions when there are a million copies of it scattered over a million machines and no one is in control? Stated differently, what are the reliable methods for reaching a consensus on what is true and accurate?
The true innovation of blockchains lies in its ability to solve this conundrum: generating timely, bad-actor-proof consensus among all copies of a distributed, decentralized database.
What Are the Tasks of Miners?
An individual who validates transactions in a blockchain and receives payment for their computational efforts is known as a miner. The proof of work is a computational challenge that miners strive to solve first. Miners increase the amount of cryptocurrency available by adding new blocks.
Proof of stake serves as an alternative to proof of work. A stake is made by participants in a proof of stake paradigm in order to act as validators. The platform then gives a validator the task of proving the following block at random. Once they have resolved the computational issue, the other validators offer agreement. With this method, the competition that comes with proof of work is eliminated, as miners are no longer competing with one another to solve the next block's puzzle and earn rewards. The proof of stake significantly reduces energy usage.
Permissionless blockchains are those that are publicly accessible, like Bitcoin. Anyone can transact on it, become a miner, or run a node using the publicly available code. Blockchains aren't all public, though. There are two types of blockchains: consortium blockchains, which are comprised of the companies in the delivery chain and may be suitable when utilizing blockchain technology to create a logistics platform. Private blockchains are accessible, with membership restricted to invitations only.
Blockchain Technology and Stablecoins
Most likely, the most well-known cryptocurrency is Bitcoin. There are more than 10,000 cryptocurrencies, so choosing one to hold or invest in requires research and knowledge of the industry.
Stablecoins is a term used to describe some of these currencies. A cryptocurrency that is tied to another asset or group of assets is known as a stablecoin. They are called fiat-collateralized because they are linked to a fiat currency, such the US dollar. The value of the underlying asset—in this case, the fiat currency—variates with their actual worth.
In conventional finance, the US dollar and the majority of fiat currencies are linked to gold or another underlying asset.
Because of the way they are pegged, the way their governance is set up, or the makeup of their reserve assets, stablecoins do not necessarily trade exactly in line with their pegged asset.
Values of cryptocurrencies can fluctuate greatly; stablecoins are no exception. What causes this fluctuation?
Similar to any other asset, demand and supply—both of which are finite—have an impact on value.
The deals made by major companies have an impact on market values.
Speculation fluctuates, impacted by media and economic factors.
Ethereum
Ethereum is a public blockchain, just like Bitcoin, that supports the majority of DeFi protocols and tiny programs known as smart contracts. While Bitcoin is primarily a transaction blockchain that uses proof of work to offer the framework for value transfers in the form of Bitcoin, Ethereum is also a public blockchain. The name of its native cryptocurrency is Ether.
On the Ethereum blockchain, every transaction has an associated cost. Gas is the name of this transaction cost; it is automatically subtracted from the account of the person who initiated the transaction and is paid in ether. A solitary transaction may entail numerous processes and be highly intricate. The transaction ends and everything returns to its initial state if there is not enough Ether in the account to cover each phase of the transaction. The person who started the transaction but ran out of gas will forfeit the gas they have already used to finish the transaction, but they will receive nothing in return. All blockchains, including the Bitcoin blockchain, charge for transactions, but Ethereum has its own currency called gas.
Smart Contract
A smart contract is a type of transaction protocol used in blockchain networks that automatically logs, manages, and carries out procedures or transactions on behalf of the parties involved.
These contracts can be directly interacted with by Ethereum network users, eliminating all counterparty risk. More transactional possibilities are created by these little programs than only value transfers. In order to interact with these smart contracts, users must have an Ethereum network-compatible cryptocurrency wallet, which is effectively a password-protected place to access cryptocurrency. In order to transact and pay the gas price, users also require Ether.
After discussing the idea of smart contracts, let's discuss several key positions in the DeFi ecosystem: automated market makers, keepers, and oracles. To find out more about each of these DeFi principles, select the corresponding tabs.
ORACLES
Any data source that reports information outside of the blockchain is referred to as an oracle in the context of smart contract platforms. For instance, market data may be provided by an oracle, and smart contracts may then act in response to that data. While certain DeFi protocols might rely on a third-party oracle like Chainlink, many others host their own oracle.
KEEPERS
A lot of DeFi protocols depend too much on collateralization. However, what occurs if the collateral loses value and is no longer worth the requisite sum? In conventional finance, a broker would want more margin in order to increase the collateral's value, but brokers do not exist in DeFi. Rather, unaffiliated entities known as keepers oversee collateralized holdings and eliminate those that lose their collateralization. The smart contract's integrity is safeguarded by this step. Reward is given to keepers for their efforts.
AUTOMATED MARKET MARKERS
A market maker, also known as a liquidity provider, quotes the bid-ask spread—the price at which an item is bought and sold—in conventional finance. The market maker will run out of the asset and will need to purchase more if more customers purchase from them than sell to them. As a result, they would alter the price they quote to make their selling price appear less appealing and their bid appear more appealing. Their price reacts to market demand in this way. An automated market maker (AMM) is a tool for trading in decentralized exchanges that uses algorithms to price assets in a decentralized system.
Risks
Many of the issues with traditional finance—such as centralized control, restricted access, inefficiency, lack of interoperability, and opacity—are resolved by blockchain-based protocols. DeFi also gets rid of some of the counterparty risk and other concerns that come with traditional finance. However, there are hazards associated with DeFi as well, some of which are specific to the platform and smart contracts.
Technology Risks
A smart contract is a piece of code that has two potential risks: -logic errors in the code; -contracts being utilized in a way that the developers did not anticipate, which could lead to poor administration and economic exploitation.
Oracle Risks
Oracles are vulnerable to hacking, and the data they receive is modified.
Keeper Danger
Users can transfer bitcoin in the blockchain and access their crypto assets through a crypto wallet, which functions similarly to a bank account. Wallets can be hosted through an app, with the third party managing the digital account as the host. Certain wallets enable users to carry out additional blockchain transactions.
A private key is needed to open wallets and carry out transactions. A private key can be compared to a very complex password.These keys are vulnerable to hackers if they are maintained online. A person's wallet may be completely emptied of all assets with no possibility of recovery if private keys are stolen.
Additional RIsks
Other dangers exist as well; not all of them are exclusive to DeFi. Since regulators are keeping a close eye on the cryptocurrency sector, regulatory risk is significant.
Among the regulatory measures they take into account are the determination that cryptocurrency exchanges have to register and that some cryptocurrency assets should be governed by the same regulations as securities. Regulation will increase rather than decrease in the future.
Ultimately, it is critical to understand that the cryptocurrency industry operates online and is vulnerable to hacking and domain name system (DNS) attacks, just like any other internet industry. Additionally, a lot of successful thefts have happened as a result of account holders being convinced to divulge their passwords.