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Current Price = 1155.73
Coupon 10.1%
Maturity = 10 years
Let's assume the YTM be 7%
Value of Bond =
=
= 1217.73102778
Now,
Let's assume the YTM be 8%
Value of Bond =
=
= 1140.91170938
YTM = Lower Rate + (\frac{Surplus}{Surplus + deficit}) * (Higher Rate - Lower rate)
= 7% + ((1217.73102778 - 1155.73) / (1217.73102778 - 1155.73) + (1155.73 - 1140.91170938)) * (8-7)
= 7% + (62.001027778 / 76.98193184) * 1
= 7% + 0.8071020294
= 7.81%
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