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What is the time to maturity of a 6.0% coupon bond if its YTM is 9.0%?...

What is the time to maturity of a 6.0% coupon bond if its YTM is 9.0%? The bond's price is $766.42 and coupons are paid annually.

Solutions

Expert Solution

At 14 years time to maturity bond price is equal to given price.

Particulars Cash flow Discount factor Discounted cash flow
present value Interest payments-Annuity (9%,14 periods) $                         60.00 7.78615 $                467.17
Present value of bond face amount -Present value (9%,14 periods) $                    1,000.00 0.29925 $                299.25
Bond price $                766.42
Face value $             1,000.00
Premium/(Discount) $              (233.58)

Answer is 14 years.


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