Ask Question
14 July, 19:01

Bond J has a coupon rate of 5 percent and Bond K has a coupon rate of 11 percent. Both bonds have 14 years to maturity, make semiannual payments, and have a YTM of 8 percent. a. If interest rates suddenly rise by 2 percent, what is the percentage price change of these bonds?

+5
Answers (1)
  1. 14 July, 20:51
    0
    Bond J - 16.33%

    Bond K - 14.04%

    Explanation:

    In order to determine the percentage price change it is incumbent to establish the bonds' prices with YTM of 8% as well as when interest rises by 2% so as to calculate the price change percentage.

    The pv formula can be used to establish the prices as follows:

    =-pv (rate, nper, pmt, fv)

    rate is semiannual yield to maturity of both bonds which 8%/2=4%

    nper is the number of coupon interest payable by the bonds which 14 years multiplied by 2 i. e 28

    pmt is the semiannual coupon payment by the bonds:

    Bond J=$1000*5%/2=$25

    Bond K=$1000*11%/2=$55

    fv is the face of the bonds which is $1000 in both cases

    Price of bond J;

    =-pv (4%,28,25,1000) = $ 750.05

    Price of Bond K:

    =-pv (4%,28,55,1000) = $1,249.95

    New price with 2% increase in interest

    Yield previously 8%

    plus increase 2%'

    total 10%

    divided by 2=10%/2=5%

    Price of bond J;

    =-pv (5%,28,25,1000) = $627.55

    Price of Bond K:

    =-pv (5%,28,55,1000) = $ 1,074.49

    Change in price=new price-old price/old price

    Bond J = ($627.55-$ 750.05) / $ 750.05=-16.33%

    Bonk K = ($1,074.49-$1,249.95) / $1,249.95 = -14.04%
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “Bond J has a coupon rate of 5 percent and Bond K has a coupon rate of 11 percent. Both bonds have 14 years to maturity, make semiannual ...” in 📙 Business if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers