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Problem 6-13 Consider the following bonds: Coupon Rate Maturity Bond (annual payments) (years) A 0% 15 B 0% 10 C 4% 15 D 8% 10

Problem 6-13

Consider the following bonds:

Coupon Rate

Maturity

Bond

(annual payments)

(years)

A

0%

15

B

0%

10

C

4%

15

D

8%

10

a.

What is the percentage change in the price of each bond if its yield to maturity falls from 6% to 5%?

b.

Which of the bonds AD is most sensitive to a 1% drop in interest rates from 6% to 5%? Which bond is the least sensitive?

Par value

$1,000

Old YTM

6%

New YTM

5%

a.

What is the percentage change in the price of each bond if its yield to maturity falls from 6% to 5%?

Bond

Coupon Rate

Maturity

Annual Coupon

Old Price

New Price

Percentage Change

Rank

A

0%

15

B

0%

10

C

4%

15

D

8%

10

b.

Which of the bonds AD is most sensitive to a 1% drop in interest rates from 6% to 5%? Which bond is the least sensitive?

Bond

is the most sensitive to changes in bond yields.

Bond

is the least sensitive to changes in bond yields.

Requirements

1.

Start Excel completed.

2.

In cell F23, by using relative and absolute cell references, calculate the annual coupon payment of bond A (1 pt.).

Note: Do not type a numeric value.

3.

To calculate the annual coupon payment of bonds B thru D, copy cell F23 and paste it onto cells F24:F26 (1 pt.).

Note: Do not type a numeric value.

4.

To calculate the price of bond A before the fall in the yield to maturity, you will use the function PV. In cell G23, by using the function PV and absolute and relative cell references, calculate the price of bond A before the fall in the yield to maturity (1 pt.).

Note: The output of the function in cell G23 is expected as a positive value. Use cell reference to the annual coupon payment from Step 2 in your calculations.

5.

To calculate the price of bonds B thru D before the fall in the yield to maturity, copy cell G23 and paste it onto cells G24:G26 (1 pt.).

6.

To calculate the price of bond A after the fall in the yield to maturity, you will use the function PV. In cell H23, by using the function PV and absolute and relative cell references, calculate the price of bond A after the fall in the yield to maturity (1 pt.).

Note: The output of the function in cell H23 is expected as a positive value. Use cell reference to the annual coupon payment from Step 2 in your calculations.

7.

To calculate the price of bonds B thru D after the fall in the yield to maturity, copy cell H23 and paste it onto cells H24:H26 (1 pt.).

8.

In cell I23, by using cell references, calculate the percentage change in price due to the drop in the yield to maturity of bond A (1 pt.).

9.

To calculate the percentage change in price due to the drop in the yield to maturity of bonds B thru D, copy cell I23 and paste it onto cells I24:I26 (1 pt.).

10.

You will rank the percentage change in price due to the drop in the yield to maturity of each bond by using the function RANK.EQ. In J23, rank the change in price due to the drop in the yield to maturity of bond A by using the function RANK.EQ and absolute and relative cell references (1 pt.).

Note: The function RANK.EQ returns the rank of a number in a list of numbers. Its size is relative to other values in the list; if more than one value has the same rank, the top rank of that set of values is returned. Use a value of 0 for the Order argument of the function RANK.EQ. Use absolute cell references for the Ref argument of the function RANK.EQ.

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