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In November 2017, Treasury 4 1/2s of 2044 offered a semiannually compounded yield to maturity of 2.66%. 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.)

Respuesta :

Answer:

The price of a bond is $492.24

Explanation:

F= face value of bond = $1000

T=time to maturity of bond = 2044-2017= 27 years

r=yield to maturity=2.66% semi-annulay=0.0266

Formula to calculate price= F/(1+r)∧T

we have = 1000/(1+.0266)∧27 = 1000/2.0315 = $492.24

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