Question

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 9.3%. Bond C pays a 10.5% annual coupon, while Bond Z is a zero coupon bond. The data has been collected in the Microsoft Excel Online file below. Open the spreadsheet and perform the required analysis to answer the questions below.

Open spreadsheet

Assuming that the yield to maturity of each bond remains at 9.3% over the next 4 years, calculate the price of the bonds at each of the following years to maturity. Do not round intermediate calculations. Round your answers to the nearest cent.

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

Answer 1

Answer a.

Bond C:

Face Value = $1,000
Annual Coupon = $1,000*10.5% = $105.0
Annual YTM = 9.3%

If Time to Maturity is 4 years:

Price = $105*PVIFA(9.30%, 4) + $1,000*PVIF(9.30%, 4)
Price = $105*(1-(1/1.093)^4)/0.093 + $1,000/1.093^4
Price = $1,038.62

If Time to Maturity is 3 years:

Price = $105*PVIFA(9.30%, 3) + $1,000*PVIF(9.30%, 3)
Price = $105*(1-(1/1.093)^3)/0.093 + $1,000/1.093^3
Price = $1,030.21

If Time to Maturity is 2 years:

Price = $105*PVIFA(9.30%, 2) + $1,000*PVIF(9.30%, 2)
Price = $105*(1-(1/1.093)^2)/0.093 + $1,000/1.093^2
Price = $1,021.02

If Time to Maturity is 1 years:

Price = $105*PVIFA(9.30%, 1) + $1,000*PVIF(9.30%, 1)
Price = $105/1.093 + $1,000/1.093
Price = $1,010.98

If Time to Maturity is 0 years:

Price = $105*PVIFA(9.30%, 0) + $1,000*PVIF(9.30%, 0)
Price = $1,000

Bond Z:

Face Value = $1,000
Annual YTM = 9.3%

If Time to Maturity is 4 years:

Price = $1,000/1.093^4
Price = $700.68

If Time to Maturity is 3 years:

Price = $1,000/1.093^3
Price = $765.84

If Time to Maturity is 2 years:

Price = $1,000/1.093^2
Price = $837.07

If Time to Maturity is 1 years:

Price = $1,000/1.093
Price = $914.91

If Time to Maturity is 0 years:

Price = $1,000