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In February 2015 Treasury 4 5/8s of 2042 offered a semiannually compounded yield to maturity of...

In February 2015 Treasury 4 5/8s of 2042 offered a semiannually compounded yield to maturity of 2.72%. Recognizing that coupons are paid semiannually, calculate the bond's price. Assume face value is $1,000. (Do not round intermediate calculations. Round your answer to 2 decimal places.)

Bond price $??

Solutions

Expert Solution

Total no. Of years = 2042-2015 = 27 years

YTM = 2.72%

coupon rate is not given, we will consider it zero.

Price of bond = Interest /(1+ytm)^1 + interest /(1+ytm)^2 + Interest /(1+ytm)^n + principal (1+ytm)^n

Price of bond = 0+ 1000(1+0.0272)^27

=$484.52 as Price of bond


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