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Rank the interest rate sensitivity of the following pairs of bonds.

a. Bond A is an 8% coupon, 20-year maturity bond selling at par value.

Bond B is an 8% coupon, 20-year maturity bond selling below par value.

b. Bond A is a 20-year, non-callable coupon bond with a coupon rate of 8%, selling at par.

Bond B is a 20-year, callable bond with a coupon rate of 9%, also selling at par.

Short Answer

Expert verified

Answer

a. YTM of Bond B would be higher and duration shorter.

b. Bond A has maturity and duration as long as Bond B

Step by step solution

01

Step by Step Solution Step 1: Evaluation of Bond A and Bond B for ‘a’

In comparison, it is noted that both these bonds have coupon payments and maturity equal. The price of Bond B is a little lower than that of Bond A. Therefore, the YTM of Bond B would be higher and the duration shorter.

02

Evaluation of Bond A and Bond B for ‘b’

In comparison, it is noted that Bond A has a lower yield and coupon; hence a longer duration than Bond B. Bond A can’t also be called. Thus it can be said that Bond A has maturity and time as long as Bond B.

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Most popular questions from this chapter

A bond has a par value of \(1,000, a time to maturity of 10 years, and a coupon rate of 8% with interest paid annually. If the current market price is \)800, what will be the approximate capital gain yield of this bond over the next year if its yield to maturity remains unchanged?

Pension funds pay lifetime annuities to recipients. If a firm remains in business indefinitely, the pension obligation will resemble perpetuity. Suppose, therefore, that you are managing a pension fund with responsibilities to make perpetual payments of $2 million per year to beneficiaries. The yield to maturity on all bonds is 16%.

a. If the duration of 5-year maturity bonds with coupon rates of 12% (paid annually) is four years and the time of 20-year maturity bonds with coupon rates of 6% (paid annually) is 11 years, how much of each of these coupon bonds (in market value) will you want to hold to both entire fund and immunize your obligation?

b. What will be the par value of your holdings in the 20-year coupon bond?

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From the information presented below, identify possible reason(s) that investors may have made each swap.

Spice asks Meyers (see the previous problem below) to quantify price changes from changes in interest rates. To illustrate, Meyers computes the value change for the fixed-rate note in the table. He assumes an increase in the interest rate level of 100 basis points. Using the information in the table, what is the predicted change in the price of the fixed-rate note?

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