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Homework answers / question archive / Wilson Oil Company issued bonds five years ago at $1,000 per bond
Wilson Oil Company issued bonds five years ago at $1,000 per bond. These bonds had a 30-year life when issued and the annual interest payment was then 9 percent. This return was in line with the required returns by bondholders at that point in time as described below: Real rate of return 2 % Inflation premium 3 Risk premium 4 Total return 9 % Assume that 10 years later, due to bad publicity, the risk premium is now 6 percent and is appropriately reflected in the required return (or yield to maturity) of the bonds. The bonds have 20 years remaining until maturity. Compute the new price of the bond. Use Appendix B and Appendix D for an approximate answer but calculate your final answer using the formula and financial calculator methods. (Do not round intermediate calculations. Round your final answer to 2 decimal places. Assume interest payments are annual.).
| K = N |
| Bond Price =∑ [(Annual Coupon)/(1 + YTM)^k] + Par value/(1 + YTM)^N |
| k=1 |
| K =20 |
| Bond Price =∑ [(9*1000/100)/(1 + 11/100)^k] + 1000/(1 + 11/100)^20 |
| k=1 |
| Bond Price = 840.73 |
| Using Calculator: press buttons "2ND"+"FV" then assign |
| PMT = Par value * coupon %=1000*9/(100) |
| I/Y =11 |
| N =20 |
| FV =1000 |
| CPT PV |
| Using Excel |
| =PV(rate,nper,pmt,FV,type) |
| =PV(11/(100),20,-9*1000/(100),-1000,) |
