Question

You are called in as a financial analyst to appraise the bonds of Olsen’s Clothing Stores. The $1,000 par value bonds have a quoted annual interest rate of 12 percent, which is paid semiannually. The yield to maturity on the bonds is 12 percent annual interest. There are 10 years to maturity. Use Appendix B and Appendix D for an approximate answer but calculate your final answer using the formula and financial calculator methods.

a. Compute the price of the bonds based on semiannual analysis. (Do not round intermediate calculations. Round your final answer to 2 decimal places.)

BOND PRICE___________

b. With 5 years to maturity, if yield to maturity goes down substantially to 6 percent, what will be the new price of the bonds? (Do not round intermediate calculations. Round your final answer to 2 decimal places.)

NEW BOND PRICE________________

Answer 1

a

K = Nx2

Bond Price =∑ [(Semi Annual Coupon)/(1 + YTM/2)^k]     +   Par value/(1 + YTM/2)^Nx2

k=1

K =10x2

Bond Price =∑ [(12*1000/200)/(1 + 12/200)^k]     +   1000/(1 + 12/200)^10x2

k=1

Bond Price = 1000

b

K = Nx2

Bond Price =∑ [(Semi Annual Coupon)/(1 + YTM/2)^k]     +   Par value/(1 + YTM/2)^Nx2

k=1

K =5x2

Bond Price =∑ [(12*1000/200)/(1 + 6/200)^k]     +   1000/(1 + 6/200)^5x2

k=1

Bond Price = 1255.91