Question

In: Finance

A premium annual-pay bond pays a $77 coupon, has a yield to maturity of 6%, and...

A premium annual-pay bond pays a $77 coupon, has a yield to maturity of 6%, and is priced at $1,198.7. How many years till the bond matures? Answer in years to at least two decimal places.

Solutions

Expert Solution

At aroud 20.74 years bond price is equal to given price.

Particulars Cash flow Discount factor Discounted cash flow
present value Interest payments-Annuity (6%,20.74 periods) $                         77.00 11.68924 $                900.07
Present value of bond face amount -Present value (6%,20.74 periods) $                    1,000.00 0.29865 $                298.65
Bond price $             1,198.72
Face value $             1,000.00
Premium/(Discount) $                198.72

Answer is 20.74 years


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