Question

A coupon bond pays annual interest, has a par value of $1,000, matures in 12 years,...

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.

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Answer #1
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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