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Investment - Valuation of Debt Securities
valuing debt securities is more straightforward than pricing equity securities because bonds have a defined life and fairly predictable cash flows. The value of a debt instrument is commonly calculated by utilizing the discounted cash flow (DCF) technique
The DCF valuation approach estimates the value of a security as the present value of all future cash flows that the investor anticipates to receive from the asset. The cash flows for a debt instrument are typically the future coupon payments and the final principal payment.
For fixed-rate bonds and zero-coupon bonds, the timing and guaranteed amount of all interest payments and ultimate principal payment are known.
For floating-rate bonds, the interest payments are not known in advance, but can be adequately estimated.
It is crucial to understand that the projected payments may not occur if the issuer defaults. Therefore, while calculating the value of a debt security using the DCF approach, an analyst or investor must estimate and use an appropriate discount rate that represents the riskiness of the bond’s cash flows.
This discount rate shows the investor’s necessary rate of return on the bond given its riskiness. The predicted cash flows of bonds with higher credit risk should be discounted at proportionally higher discount rates, which results in lower estimations of value. The following example gives an example of valuing a fixed-rate bond.
Example: Valuing a Fixed-Rate Bond
Consider a three-year fixed-rate bond with a par value of USD1,000 and a coupon rate of 6%, with coupon payments issued semiannually.
The bond will make six coupon payments of USD30 (one coupon payment every six months for the life of the bond) and a final principal payment of USD1,000 on the maturity date.
The value of the bond can be calculated by discounting the bond’s guaranteed payments using an appropriate discount rate that represents the riskiness of the cash flows. Assume that an investor determines that a discount rate of 7% per year, or 3.5% semiannually, is reasonable for this bond given its risk. Thus, the value of the bond can be determined as follows:
valuing debt securities is more straightforward than pricing equity securities because bonds have a defined life and fairly predictable cash flows. The value of a debt instrument is commonly calculated by utilizing the discounted cash flow (DCF) technique
The DCF valuation approach estimates the value of a security as the present value of all future cash flows that the investor anticipates to receive from the asset. The cash flows for a debt instrument are typically the future coupon payments and the final principal payment.
For fixed-rate bonds and zero-coupon bonds, the timing and guaranteed amount of all interest payments and ultimate principal payment are known.
For floating-rate bonds, the interest payments are not known in advance, but can be adequately estimated.
It is crucial to understand that the projected payments may not occur if the issuer defaults. Therefore, while calculating the value of a debt security using the DCF approach, an analyst or investor must estimate and use an appropriate discount rate that represents the riskiness of the bond’s cash flows.
This discount rate shows the investor’s necessary rate of return on the bond given its riskiness. The predicted cash flows of bonds with higher credit risk should be discounted at proportionally higher discount rates, which results in lower estimations of value. The following example gives an example of valuing a fixed-rate bond.
Example: Valuing a Fixed-Rate Bond
Consider a three-year fixed-rate bond with a par value of USD1,000 and a coupon rate of 6%, with coupon payments issued semiannually.
The bond will make six coupon payments of USD30 (one coupon payment every six months for the life of the bond) and a final principal payment of USD1,000 on the maturity date.
The value of the bond can be calculated by discounting the bond’s guaranteed payments using an appropriate discount rate that represents the riskiness of the cash flows. Assume that an investor determines that a discount rate of 7% per year, or 3.5% semiannually, is reasonable for this bond given its risk. Thus, the value of the bond can be determined as follows:
Now, explore two possible circumstances. Suppose that soon after issue, there is a spike in interest rates in the economy. Consequently, the investor recognizes that a suitable discount is now 8%. Using this greater discount rate results in a bond value as follows:
Next, imagine that soon after issue, there is a drop in interest rates in the economy. Consequently, the investor sees that a fair discount is 6%. Using this reduced discount rate results in a bond value as follows:
Bond Yield Measures
In financial markets, bond investors commonly refer to two basic yield measures to represent a bond’s predicted return. Those yield measurements are a bond’s current yield and yield to maturity.
Current Yield
A bond’s current yield is computed as the annual coupon payment divided by the current market price. This metric is simple to calculate and is widely quoted. A bond’s current yield provides bondholders with an estimate of the annualised return from coupon income solely, without consideration for the effect of any capital gain or loss stemming from changes in the bond’s value over time.
Yield to Maturity
Investors can use the DCF approach to evaluate the discount rate implied by a bond’s market price. The discount rate that corresponds the present value of a bond’s guaranteed cash flows to its market price is the bond’s yield to maturity (YTM), or yield. An investor can compare this yield to maturity with their necessary rate of return on the bond considering its riskiness to decide whether to purchase it.
A bond’s yield to maturity can be stated as indicated in the graphic below,
where P0 indicates the current market price of the bond, and rytm represents the bond’s yield to maturity. By inserting the projected interest payments and par value payment for the numerator cash flows, and inputting the bond’s current price for P0, the bond’s YTM may be determined.
Many investors use a bond’s yield to maturity to estimate the annualised return from buying the bond at the current market price and holding it until maturity, assuming that all guaranteed payments are fulfilled on schedule and in full. When a bond’s payments are known, as in the case of fixed-rate bonds and zero-coupon bonds, the yield to maturity can be estimated by utilizing the current market price.
In financial markets, bond investors commonly refer to two basic yield measures to represent a bond’s predicted return. Those yield measurements are a bond’s current yield and yield to maturity.
Current Yield
A bond’s current yield is computed as the annual coupon payment divided by the current market price. This metric is simple to calculate and is widely quoted. A bond’s current yield provides bondholders with an estimate of the annualised return from coupon income solely, without consideration for the effect of any capital gain or loss stemming from changes in the bond’s value over time.
Yield to Maturity
Investors can use the DCF approach to evaluate the discount rate implied by a bond’s market price. The discount rate that corresponds the present value of a bond’s guaranteed cash flows to its market price is the bond’s yield to maturity (YTM), or yield. An investor can compare this yield to maturity with their necessary rate of return on the bond considering its riskiness to decide whether to purchase it.
A bond’s yield to maturity can be stated as indicated in the graphic below,
where P0 indicates the current market price of the bond, and rytm represents the bond’s yield to maturity. By inserting the projected interest payments and par value payment for the numerator cash flows, and inputting the bond’s current price for P0, the bond’s YTM may be determined.
Many investors use a bond’s yield to maturity to estimate the annualised return from buying the bond at the current market price and holding it until maturity, assuming that all guaranteed payments are fulfilled on schedule and in full. When a bond’s payments are known, as in the case of fixed-rate bonds and zero-coupon bonds, the yield to maturity can be estimated by utilizing the current market price.
Example: Yield to Maturity
In the following example, we will study the calculation of a bond’s yield to maturity.
Consider a fixed-rate bond with exactly five years remaining until maturity, a par value of USD1,000 per unit, and a coupon rate of 4% with semiannual payments. The bond is presently selling at a price of USD914.70. With this information, the bond’s yield to maturity can be determined by solving for rytm
In the following example, we will study the calculation of a bond’s yield to maturity.
Consider a fixed-rate bond with exactly five years remaining until maturity, a par value of USD1,000 per unit, and a coupon rate of 4% with semiannual payments. The bond is presently selling at a price of USD914.70. With this information, the bond’s yield to maturity can be determined by solving for rytm
The bond’s yield to maturity is the discount rate that makes the present value of the bond’s promised cash flows equal to its market price. The bond’s anticipated cash flows consist of 10 semiannual coupon payments of USD20 occurring every 6 months and a final principal payment of USD1,000 on the maturity date in 5 years, or 10 semiannual periods.
In this situation, rytm is 3% on a semiannual basis, or 6% annualised. Thus, at a price of USD914.70, the bond’s yield to maturity is 6%.
The current yield is computed as $40 ÷ $914.70 = 4.37%. You can observe that the current yield and the yield to maturity differ.
It is crucial to recognize that bond prices and bond yields to maturity are inversely connected. That is, as bond prices fall, their yields to maturity increase, and as bond prices rise, their yields to maturity decrease.
If the bond’s coupon rate and the yield to maturity are the same, the bond’s value is equal to its par value.
In the example, the bond’s coupon rate was 6%, and in the last scenario, the yield to maturity was assumed likewise to be 6%. In that circumstance, the computed bond price was exactly equal to its par value of USD1,000. In financial markets, a fixed-rate bond with a current price equal to par value is referred to as a par bond.
If the bond’s coupon rate is lower than the yield to maturity, as was initially the case in the example, the bond’s value will be less than its par value. A fixed-rate bond with a current price below par value is referred to as a discount bond.
Lastly, if the bond’s coupon rate is more than the yield to maturity, the bond’s value will be higher than its par value. A fixed-rate bond with a current price over par value is referred to as a premium bond.
As stated previously and illustrated by the examples, it is crucial to realize that bond prices and bond yields to maturity are inversely associated. That is, as bond prices fall, their yields to maturity increase, and as bond prices rise, their yields to maturity decrease.
In this situation, rytm is 3% on a semiannual basis, or 6% annualised. Thus, at a price of USD914.70, the bond’s yield to maturity is 6%.
The current yield is computed as $40 ÷ $914.70 = 4.37%. You can observe that the current yield and the yield to maturity differ.
It is crucial to recognize that bond prices and bond yields to maturity are inversely connected. That is, as bond prices fall, their yields to maturity increase, and as bond prices rise, their yields to maturity decrease.
If the bond’s coupon rate and the yield to maturity are the same, the bond’s value is equal to its par value.
In the example, the bond’s coupon rate was 6%, and in the last scenario, the yield to maturity was assumed likewise to be 6%. In that circumstance, the computed bond price was exactly equal to its par value of USD1,000. In financial markets, a fixed-rate bond with a current price equal to par value is referred to as a par bond.
If the bond’s coupon rate is lower than the yield to maturity, as was initially the case in the example, the bond’s value will be less than its par value. A fixed-rate bond with a current price below par value is referred to as a discount bond.
Lastly, if the bond’s coupon rate is more than the yield to maturity, the bond’s value will be higher than its par value. A fixed-rate bond with a current price over par value is referred to as a premium bond.
As stated previously and illustrated by the examples, it is crucial to realize that bond prices and bond yields to maturity are inversely associated. That is, as bond prices fall, their yields to maturity increase, and as bond prices rise, their yields to maturity decrease.
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