Bonds full price, computation

In order to value a bond with the settlement date between coupon payments, we must answer three questions. First, how many days are there until the next coupon payment date From Chapter 1, we know the answer depends on the day count convention for the bond being valued. Second, how should we compute the present value of the cash flows received over the fractional period Third, how much must the buyer compensate the seller for the coupon earned over the fractional period This is accrued interest that we computed in Chapter 1. In the next two sections, we will answer these three questions in order to determine the full price and the clean price of a coupon bond. 

Once we know the full price and the accrued interest, we can determine the clean price. The clean price is the price that quoted in the market and represents the bond s value to the new bondholder. The clean price is computed as follows... 

We will discuss two approaches for assessing the interest rate risk exposure of a bond or a portfolio. The first approach is the full valuation approach that involves selecting possible interest rate scenarios for how interest rates and yield spreads may change and revaluing the bond position. The second approach entails the computation of measures that approximate how a bond s price or the portfolio s value will change when interest rates change. The most commonly used measures are duration and convexity. We will discuss duration/convexity measures for bonds and bond portfolios. Finally, we discuss measures of yield curve risk. 

To illustrate the computation, let s examine a 4.2% coupon, lO-year Spanish government security that matures on July 30, 2013. Bloomberg s Yield Analysis Screen is presented in Exhibit 4.7. If the bond is priced to yield 3.724% on a settlement date of June 6, 2003, we can compute the PVBP by using the prices for either the yield at 3.734 or 3.714. The bond s initial full price at 3.724% is 104.5673. If the yield is decreased by 1 basis point to 3.714%, the PVBP is 0.085 (1104.5673 - 104.65221). Note that our PVBP calculation agrees with Bloomberg s calculation labeled PRICE VALUE OF A 0.01 that is presented in the Sensitivity Analysis box located in the lower left-hand corner of the screen. 

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