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Laurel, Inc., and Hardy Corp. both have 10 percent coupon bonds outstanding, wit

ID: 2631186 • Letter: L

Question

Laurel, Inc., and Hardy Corp. both have 10 percent coupon bonds outstanding, with semiannual interest payments, and both are priced at par value. The Laurel, Inc., bond has 6 years to maturity, whereas the Hardy Corp. bond has 15 years to maturity.

(a) If interest rates suddenly rise by 3 percent, what is the percentage change in the price of these bonds? (Do not include the percent signs (%). Negative amounts should be indicated by a minus sign. Round your answers to 2 decimal places. (e.g., 32.16)) Percentage change in price Laurel % Hardy %

(b) If interest rates were to suddenly fall by 3 percent instead, what would the percentage change in the price of these bonds? (Do not include the percent signs (%). Round your answers to 2 decimal places. (e.g., 32.16)) Percentage change in price Laurel % Hardy %

Explanation / Answer

Laurel, Inc., and Hardy Corp. both have 10 percent coupon bonds outstanding, with semiannual interest payments, and both are priced at par value. The Laurel, Inc., bond has 6 years to maturity, whereas the Hardy Corp. bond has 15 years to maturity.

(a) If interest rates suddenly rise by 3 percent, what is the percentage change in the price of these bonds? (Do not include the percent signs (%). Negative amounts should be indicated by a minus sign. Round your answers to 2 decimal places. (e.g., 32.16))

Present Price of Bond :

Laurel, Inc = 1000

Hardy Corp = 1000

After Percentage Price would be

Laurel, Inc = pv(6.5%,12,50,1000)

Laurel, Inc = 877.62

Hardy Corp = pv(6.5%,30,50,1000)

Hardy Corp = $ 804.12

Percentage change in price

Laurel, Inc = (877.62-1000)/1000 = -12.24%

Hardy Corp = (804.12-1000)/1000 = -19.59%

Percentage change in price Laurel -12.24% Hardy -19.59%

(b) If interest rates were to suddenly fall by 3 percent instead, what would the percentage change in the price of these bonds? (Do not include the percent signs (%). Round your answers to 2 decimal places. (e.g., 32.16))

Present Price of Bond :

Laurel, Inc = 1000

Hardy Corp = 1000

After Percentage Price would be

Laurel, Inc = pv(3.5%,12,50,1000)

Laurel, Inc =1144.95

Hardy Corp = pv(3.5%,30,50,1000)

Hardy Corp = $ 1275.88

Percentage change in price

Laurel, Inc = (1144.95-1000)/1000 = 14.50%

Hardy Corp = (1275.88-1000)/1000 = 27.59%

Percentage change in price Laurel 14.50 % Hardy 27.59%