An investor has two bonds in her portfolio, Bond C and Bond Z. Each bond matures in 4 years, has a face value of $1,000, and has a yield to maturity of 8.9%. Bond C pays a 10% annual coupon, while Bond Z is a zero coupon bond. Assuming that the yield to maturity of each bond remains at 8.9% over the next 4 years, calculate the price of the bonds at each of the following years to maturity.

Years to Maturity Price of Bond C Price of Bond Z
4 $ $
3 $ $
2 $ $
1 $ $
0 $ $

Question

05-04-2021
Business

Answered

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An investor has two bonds in her portfolio, Bond C and Bond Z. Each bond matures in 4 years, has a face value of $1,000, and has a yield to maturity of 8.9%. Bond C pays a 10% annual coupon, while Bond Z is a zero coupon bond. Assuming that the yield to maturity of each bond remains at 8.9% over the next 4 years, calculate the price of the bonds at each of the following years to maturity.

Years to Maturity Price of Bond C Price of Bond Z
4 $ $
3 $ $
2 $ $
1 $ $
0 $ $

Sagot :

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amcool amcool · Answer 1 · 2021-04-07T20:45:24-04:00

Answer:

Years to maturity Price of Bond C Price of Bond Z

4 $1,084.42 $711.03

3 $1,065.93 $774.31

2 $1,045.80 $843.23

1 $1,023.88 $918.27

Explanation:

Note: See the attached excel for the calculations of the prices of Bond C and Bond Z.

The price of each bond of the bond can be calculated using the following excel function:

Bond price = -PV(rate, NPER, PMT, FV) ........... (1)

Where;

rate = Yield to maturity of each of the bonds

NPER = Years to maturity

PMT = Payment = Coupon rate * Face value

FV = Face value

Substituting all the relevant values into equation (1) for each of the Years to Maturity and inputting them into relevant cells in the attached excel sheet, we have: