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Assume you have a one-year investment horizon and are trying to choose among thr

ID: 2651254 • Letter: A

Question

Assume you have a one-year investment horizon and are trying to choose among three bonds. All have the same degree of default risk and mature in 9 years. The first is a zero-coupon bond that pays $1,000 at maturity. The second has an 7.1% coupon rate and pays the $71 coupon once per year. The third has a 9.1% coupon rate and pays the $91 coupon once per year.

If all three bonds are now priced to yield 7.1% to maturity, what are their prices? (Do not round intermediate calculations. Round your answers to 2 decimal places.)

If you expect their yields to maturity to be 7.1% at the beginning of next year, what will their prices be then? (Do not round intermediate calculations. Round your answers to 2 decimal places.)

What is your rate of return on each bond during the one-year holding period? (Do not round intermediate calculations.Round your answers to 2 decimal places.)

Assume you have a one-year investment horizon and are trying to choose among three bonds. All have the same degree of default risk and mature in 9 years. The first is a zero-coupon bond that pays $1,000 at maturity. The second has an 7.1% coupon rate and pays the $71 coupon once per year. The third has a 9.1% coupon rate and pays the $91 coupon once per year.

Explanation / Answer

(a)

Zero coupon

7.1% coupon

9.1% coupon

Current prices

$463.19

$1,000.00

$1,134.20

( b - 1 & 2)

Zero coupon

7.1% coupon

9.1% coupon

Price one year from now

$500.25

$1,000.00

$1,124.94

Price Increase

$37.06

$0.00

-$9.26

Coupon income

$0.00

$71

$91

Pre-tax income

$37.06

$71

$81.74

Pre-tax rate of return

7.1 %

7.1 %

7.1 %

Taxes

$11.12

$24.00

$28.15

After-tax income

$25.94

$47.00

$53.59

After – tax return

5.6 %

5.6 %

5.52 %

Zero coupon

7.1% coupon

9.1% coupon

Current prices

$463.19

$1,000.00

$1,134.20

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