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17 December, 23:32

Sqeekers Co. issued 11-year bonds a year ago at a coupon rate of 8.3 percent. The bonds make semiannual payments and have a par value of $1,000. If the YTM on these bonds is 6.6 percent, what is the current bond price?

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  1. 17 December, 23:45
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    The price of the bond today is $1,131.48

    Explanation:

    Face value (FV) : $1,000

    Coupon rate: 8.3%

    -> counpon received semi - annually (PMT) = $1000 * 8.3%/2 = $41.5

    Tenor: 11 years - > number of payment (NPer) = 11*2 = 22

    YTM: 6.6% - > semi-annual rate = 6.6%/2 = 3.3%

    Present value = Future Value / (1 + YTM) ^tenor

    We can use excel to calculate Present Value of annual payment

    = PV (Rate, NPer,-PMT) = PV (3.3%,22,-41.5) = $641.94

    The price of bond today = present value of face value + present value of coupon received annually

    = 1000 / (1+3.3%) ^22 + 41.5 / (1+3.3%) ^22 + 41.5 / (1+3.3%) ^21 + ... + 41.5 / (1+3.3%) ^1

    = 1000 / (1+3.3%) ^22 + 641.94

    = 1,131.48
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