In: Finance
Nesmith Corporation's outstanding bonds have a $1,000 par value, an 11% semiannual coupon, 20 years to maturity, and a 15% YTM. What is the bond's price? Round your answer to the nearest cent.
| Particulars | Cash flow | Discount factor | Discounted cash flow |
| present value Interest payments-Annuity (7.5%,40 periods) | $ 55.00 | 12.59441 | $ 692.69 |
| Present value of bond face amount -Present value (7.5%,40 periods) | $ 1,000.00 | 0.05542 | $ 55.42 |
| Bond price | $ 748.11 | ||
| Face value | $ 1,000.00 | ||
| Premium/(Discount) | $ (251.89) | ||
| Interest amount: | |||
| Face value | 1,000 | ||
| Coupon/stated Rate of interest | 11.000% | ||
| Frequency of payment(once in) | 6 months | ||
| Interest amount | 1000*0.11*6/12= | $ 55.00 | |
| Present value calculation: | |||
| yield to maturity/Effective rate | 15.00% | ||
| Effective interest per period(i) | 0.15*6/12= | 7.500% | |
| Number of periods: | |||
| Particulars | Amount | ||
| Number of interest payments in a year | 2 | ||
| Years to maturiy | 20.0 | ||
| Number of periods | 40 |
Answer is:
748.11