A corporation made a coupon payment yesterday on its 11%-coupon, $1000 par value bonds that make semi-annual coupon payments, and mature in 12 years. You purchased one of these bonds 5.5 years ago and, at the time, the yield to maturity on these bonds was 6.49% (APR). If you sold your bond today for $576.13, what APY did you earn on your investment in the bond? (In percent with 3 decimals.)
K = Nx2 |
Bond Price =∑ [(Semi Annual Coupon)/(1 + YTM/2)^k] + Par value/(1 + YTM/2)^Nx2 |
k=1 |
K =17.5x2 |
Bond Price =∑ [(11*1000/200)/(1 + 6.49/200)^k] + 1000/(1 + 6.49/200)^17.5x2 |
k=1 |
Bond Price = 1467.66 |
rate of return %= ((selling price+coupon)/purchase price-1)*100% |
=((576.13+5.5*110)/1467.66-1)*100=-19.53%
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