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Answer:
8.67%
Explanation:
PMT (Semi-annual coupon) = par value*coupon rate/2 = 1,000*8%/2 = 40
N (No of coupons paid) = 10*2 = 20
Rate (Semi-annual reinvestment rate) = 7%/2 = 3.5%
Future value of reinvested coupons = FV(PMT, N, Rate)
Future value of reinvested coupons = FV(40, 20, 3.5%)
Future value of reinvested coupons = $1,131.19
FV = 1,000
PMT (Semi-annual coupons) = 40
N (No of coupons pending) = 10*2 = 20
Rate (Semi-annual YTM) = 9%/2 = 4.5%
Price of the bond after 10 years = PV(FV, PMT, N, RATE)
Price of the bond after 10 years = PV(1000, 40, 20, 4.5%)
Price of the bond after 10 years = $934.96
Total amount after 10 years = Future value of reinvested coupons + Price of the bond after 10 years
Total amount after 10 years = $1,131.19 + $934.96
Total amount after 10 years = $2,066.15
Amount invested (Price of the bond now) = $900.
Total Annual Return = [(Total amount after 10 years / Amount invested)^(1/holding period)] -1
Total Annual Return = [($2,066.15/$900)^(1/10)] -1
Total Annual Return = [2.295722^0.1] - 1
Total Annual Return = 1.08665561792 - 1
Total Annual Return = 0.08665561792
Total Annual Return = 8.67%