A coupon bond pays annual interest, has a par
value of $1,000, matures in 12 years, has a coupon rate of 11%, and
has a yield to maturity of 12%. The current yield on this
bond
I need this to be written step by step Please. If you got a number
from somewhere I need to know where it's from.
Par/Face value | 1000 | |||||||||||
Coupon rate | 0.11 | |||||||||||
Annual Coupon | 110 | |||||||||||
Present Value = Future value/ ((1+r)^t) | ||||||||||||
where r is the yield to maturity that is 12% and t is the time period in years. | ||||||||||||
price of bond = sum of present value of future cash flows. | ||||||||||||
t | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
future cash flow | 110 | 110 | 110 | 110 | 110 | 110 | 110 | 110 | 110 | 110 | 110 | 1110 |
present value | 98.21 | 87.69 | 78.30 | 69.91 | 62.42 | 55.73 | 49.76 | 44.43 | 39.67 | 35.42 | 31.62 | 284.91 |
price/sum of present values | 938.06 | |||||||||||
The current price of the bond is 938.06 | ||||||||||||
The current yield of the bond = (annual coupon)/current price | ||||||||||||
The current yield of the bond = 110/938.06 | ||||||||||||
The current yield of the bond = .117263. | ||||||||||||
The current yield of the bond is equal to 11.73%. |
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