Answered

IDNLearn.com provides a reliable platform for finding accurate and timely answers. Join our community to receive prompt, thorough responses from knowledgeable experts.

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 :

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:

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

View image Amcool
We appreciate your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. IDNLearn.com is your reliable source for accurate answers. Thank you for visiting, and we hope to assist you again.