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P/YR = 1 Mode = end N = 20 I%YR = 14 PMT = 120 FV = 1000 Solve PV = -$867.54 Note: If the coupon rate discount rate, the bond will sell for a discount. Bond Example Mathematical Solution: PV = PMT (PVIFA k, n ) + FV (PVIF k, n ) PV = 120 (PVIFA .14, 20 ) + 1000 (PVIF .14, 20 ) Bond Example Mathematical Solution: PV = PMT (PVIFA k, n ) + FV (PVIF k, n ) PV = 120 (PVIFA .14, 20 ) + 1000 (PVIF .14, 20 ) 1 PV = PMT 1 - (1 + i)n + FV / (1 + i)n i Bond Example Mathematical Solution: PV = PMT (PVIFA k, n ) + FV (PVIF k, n ) PV = 120 (PVIFA .14, 20 ) + 1000 (PVIF .14, 20 ) 1 PV = PMT 1 - (1 + i)n + FV / (1 + i)n i 1 PV = 120 1 - (1.14 )20 + 1000/ (1.14) 20 = $867.54 .14 Suppose coupons are semi-annual P/YR = 2 Mode = end N = 40 I%YR = 14 PMT = 60 FV = 1000 Solve PV = -$866.68 Bond Example Mathematical Solution: PV = PMT (PVIFA k, n ) + FV (PVIF k, n ) PV = 60 (PVIFA .14, 20 ) + 1000 (PVIF .14, 20 ) Bond Example Mathematical Solution: PV = PMT (PVIFA k, n ) + FV (PVIF k, n ) PV = 60 (PVIFA .14, 20 ) + 1000 (PVIF .14, 20 ) 1 PV = PMT 1 - (1 + i)n + FV / (1 + i)n i Bond Example Mathematical Solution: PV = PMT (PVIFA k, n ) + FV (PVIF k, n ) PV = 60 (PVIFA .14, 20 ) + 1000 (PVIF .14, 20 ) 1 PV = PMT 1 - (1 + i)n + FV / (1 + i)n i 1 PV = 60 1 - (1.07 )40 + 1000 / (1.07) 40 = $866.68 .07 Yield To Maturity The expected rate of return on a bond. The rate of return investors earn on a bond if they hold it to maturity. Yield To Maturity The expected rate of return on a bond. The rate o
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