You are thinking of purchasinga bond with a coupon rate of 6.0% and makes semiannual payments. The yield to maturity is 6.3% and the bond matures in 21 years. What is the market price if the bond has a par value of $1,000? AND Do you expect the price of the bond to Increase OR decrease over the next year?
We are given,
Coupon rate = 6%
Semiannual Coupon = 6%/2 * 1000 = $30
Ytm(r) = 6.3%
No of periods = 21yr * 2 = 42
Market Price(PV) = ?
We can calculate PV using Financial calculator or by using excel,
Future Value | $1,000 | |
pmt | 30 | |
interest | 6.3% | |
No of years | 42 | |
Present Value | $965 | (=PV(6.3%/2,42,-30,-1000,0)) |
Hence market price of bond = $965.
The price of the bond will increase over the next year as currently it is below its par value. At maturity, the price will be equal to its par value.
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