A bond with 10 years to maturity has a face value of $1,000. The bond can be called in four years for $1050. The bond pays an 6 percent semiannual coupon, and the bond has a 4.5 percent nominal yield to maturity. What is the price of the bond today assuming that it will be called?
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) |
1-8 | 30 | 7.2472* | 217.42 |
8 | 1050 | 0.8369** | 878.79 |
Current Market Price of Bonds = Cashflow*PVAF/PVF
= 217.42+878.79
= $1096.20
Note : Since the bond makes semiannual interest payments, total no. of period is 8 (4*2), cashflow per period is 30(1000*6%/2) and cashflows are discounted at 2.25% (4.5/2).
*PVAF = (1-(1+r)^-n)/r
**PVF = 1 / (1+r)^n
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