Kasey Corp. has a bond outstanding with a coupon rate of 5.87 percent and semiannual payments. The bond has a yield to maturity of 6.9 percent, a par value of $2,000, and matures in 13 years. What is the quoted price of the bond

Quoted price of bond = $1825.05

Explanation:

The quoted price or price of the bond can be calculated by taking adding the present value of the annuity payments in form of interest made by the bond and the present value of the face value of the bond. The formula for the price of bond is attached.

The interest is payed semi annually, thus the semi annual coupon payment (C)  is,

C = 2000 * 5.87% * 6/12 = 58.7

The semi annual YTM is = 6.9%/2  =  3.45%

Total semi annual periods are = 13 * 2 = 26

Bond Price = 58.7 * [(1 - (1+0.0345)^-26) / 0.0345]  +  2000 / (1+0.0345)^26

Bond Price = $1825.051207 rounded off to $1825.05

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