Renfro Rentals has issued bonds that have a 7% coupon rate, payable semiannually. The bonds mature in 18 years, have a face value of $1,000, and a yield to maturity of 9%. What is the price of the bonds? Round your answer to the nearest cent.
Bond Valuation: The value of bond is the present value of the expected cashflows from the bond,discounted at Yield to Maturity(YTM).
Year | Cash flow | PVAF/[email protected]% | Present Value (Cashflow*PVAF/PVF) |
1-36 | 35 | 17.6660* | 618.31 |
36 | 1000 | 0.205** | 205.00 |
Current Market Price of Bonds = $823.31 (618.31+205)
Note : Since the bond makes semiannual interest payments, total no. of period is 36 (18*2), cashflow per period is 35(1000*7%/2) and cashflows are discounted at 4.5% (9/2).
*PVAF = (1-(1.045)^-36)/.045 = 17.666
**PVF = 1 / (1.045)36 = 0.205
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