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Question: Now suppose the bond in the previous question is selling for 102. What is the bond’s yield to maturity? What would the yield to maturity be at a price of 102 if the bond paid its coupons only once per year?

Short Answer

Expert verified

Answer

Yield to maturity (semi-annual) = 0.051927

Yield to maturity (annual) = 0.051889

Step by step solution

01

Given information 

Bond Price = $102

Semi -annual coupon rate = 5.5%

02

Calculation of the YTM




Semi annual coupons

Annual coupons






Settlement Date


22-02-2012

22-02-2012

Maturity date



15-03-2020

15-03-2020

Annual Coupon rate


0.055

0.055

Bond Price



102

100

Redemption value


100

100

Coupon payment per year


2

1






Yield to Maturity



0.051927

0.051889

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Most popular questions from this chapter

The following multiple-choice problems are based on questions that appeared in past CFA examinations.

a. A bond with a call feature:

(1) Is attractive because the immediate receipt of principal plus premium produces a high return.

(2) Is more apt to be called when interest rates are high because the interest saving will be greater.

(3) Will usually have a higher yield to maturity than a similar non-callable bond.

(4) None of the above.

b. In which one of the following cases is the bond selling at a discount?

(1) Coupon rate is greater than current yield, which is greater than yield to maturity.

(2) Coupon rate, current yield, and yield to maturity are all the same.

(3) Coupon rate is less than current yield, which is less than yield to maturity.

(4) Coupon rate is less than current yield, which is greater than yield to maturity.

c. Consider a five-year bond with a 10% coupon selling at a yield to maturity of 8%. If interest rates remain constant, one year from now the price of this bond will be:

(1) Higher

(2) Lower

(3) The same

(4) Par

d. Which of the following statements is true?

(1) The expectations hypothesis indicates a flat yield curve if anticipated future short term rates exceed current short-term rates.

(2) The basic conclusion of the expectations hypothesis is that the long-term rate is equal to the anticipated short-term rate.

(3) The liquidity hypothesis indicates that, all other things being equal, longer maturities will have higher yields.

(4) The liquidity preference theory states that a rising yield curve necessarily implies that the market anticipates increases in interest rates

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?

You are managing a portfolio of $1 million. Your target duration is ten years, and you can choose from two bonds: a zero-coupon bond with a maturity of 5 years and an infinity, each yielding 5%.

An a. How much of each bond will you hold in your portfolio?

b. How will these fractions change next year if the target duration is nine years?

Macaulay’s duration is less than the modified duration except for:

a . Zero-coupon bonds.

b. Premium bonds.

c. Bonds selling at par value.

d. None of the above.

Question: A two-year bond with par value \(1,000 making annual coupon payments of \)100 is priced at $1,000. What is the yield to maturity of the bond? What will be the realized compound yield to maturity if the one-year interest rate next year turns out to be:

( a ) 8%,

( b ) 10%,

( c ) 12%?

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