Laurel, Inc., and Hardy Corp. both have 9 percent coupon bonds outstanding, with
ID: 2631666 • Letter: L
Question
Laurel, Inc., and Hardy Corp. both have 9 percent coupon bonds outstanding, with semiannual interest payments, and both are priced at par value. The Laurel, Inc., bond has 2 years to maturity, whereas the Hardy Corp. bond has 14 years to maturity. If interest rates suddenly fall by 3 percent, the percentage change in the price of Bonds Laurel, Inc., and Hardy Corp. is _______percent and ________percent, respectively. (Negative amounts should be indicated by a minus sign. Do not include the percent signs (%). Round your answers to 2 decimal places. (e.g., 32.16))
Explanation / Answer
Laurel, Inc., and Hardy Corp. both have 9 percent coupon bonds outstanding, with semiannual interest payments, and both are priced at par value. The Laurel, Inc., bond has 2 years to maturity, whereas the Hardy Corp. bond has 14 years to maturity. If interest rates suddenly fall by 3 percent, the percentage change in the price of Bonds Laurel, Inc., and Hardy Corp. is _______percent and ________percent, respectively. (Negative amounts should be indicated by a minus sign. Do not include the percent signs (%). Round your answers to 2 decimal places. (e.g., 32.16))
Laurel, Inc.,
Price after interest rates suddenly fall by 3 percent = pv(rate,nper,pmt,fv)
rate = 6%/2 = 3%
nper = 2*2 = 4
pmt = 1000*9%*1/2 = 45
fv = 1000
Price after interest rates suddenly fall by 3 percent = pv(3%,4,45,1000)
Price after interest rates suddenly fall by 3 percent = 1055.76
Percentage change in the price of Laurel, Inc = (1055.76-1000)/1000
Percentage change in the price of Laurel, Inc = 5.58%
Hardy Corp.
Price after interest rates suddenly fall by 3 percent = pv(rate,nper,pmt,fv)
rate = 6%/2 = 3%
nper = 14*2 = 28
pmt = 1000*9%*1/2 = 45
fv = 1000
Price after interest rates suddenly fall by 3 percent = pv(3%,28,45,1000)
Price after interest rates suddenly fall by 3 percent = 1281.46
Percentage change in the price of Hardy Corp = (1281.46-1000)/1000
Percentage change in the price of Hardy Corp = 28.15%
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