Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Laurel, Inc., and Hardy Corp. both have 13 percent coupon bonds outstanding, wit

ID: 2669161 • Letter: L

Question



Laurel, Inc., and Hardy Corp. both have 13 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 12 years to maturity. If interest rates suddenly rise by 2 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

Here, par value of the bond is $1,000.                               Cupon rate is 13%.                                        Coupon payment is 13%*1,000                                                                         = 0.13*1,000                                                                         = $130.                              But, here semianually interest payment, the coupon rate will be half.                                                 Coupon paymenet is $65                   Interest rate are raised by 2% then, YTM is 13+2 = 15% in both cases. Calculation of bond price for Laurel, inc:                            Here coupon payment is $65.                                     YTM is 15%/2 = 7.5% because semianually.                                          maturity is = 4(2*2)          By using excel spread sheet we can calcuate the bond price. Inset PV in formula bar and take the values as, Rate 7.5%, PMT = 65, FV=1,000.                               By enter we can get the bond value as $966.51          The bond price would fall to $966.51. % of change in bond price is = ($966.51 - $1,000)/$1,000                                                  = (-33.49)/1000                                                  = -3.35 Calcualation of bond price for Hardy corp:                   YTM is 7.5          Coupon payment is $65          Period to maturity is 24 (12*2)                By using excel the bond price is = $922.67                                  % change in bond price is = (922.67 - $1,000)/$1,000                                                                               =-77.33/1000                                                                              = -7.73 Therefore, Percentage change in Laurel bond is -3.35                   Percentage change in Handy corp is -7.73