Wald Corporation has outstanding bonds with a 6-year maturity, $1,000 par value, and 7% coupon paid semiannually, and those bonds sell at their par value. Wald has another bond with the same risk, maturity, and par value, but this second bond pays a 8% semi-annual coupon. What is the price of this bond?
Answer:
Wald Corporation's bond has 7% coupon paid semiannually, and those bonds sell at their par value,
Since the bond sales at par value, Market rate (Yield) = Coupon rate =7%
Second bond:
Coupon rate = 8%
Par value = $1,000
Semiannual coupon amount = 1000 * 8%/2 = $40
Time to maturity = 6 years = 12 semiannual periods
Semiannual Yield = 7%/2 = 3.5%
To get price of this bond we will use PV function of excel:
= PV (rate, nper, pmt, fv, type)
= PV (3.5%, 12, -40, -1000, 0)
= $1048.32
Price of this bond = $1,048.32
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