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You are purchasing a 20-year, zero-coupon bond. The yield to maturity is 8.86 percent and the...

You are purchasing a 20-year, zero-coupon bond. The yield to maturity is 8.86 percent and the face value is $1,000. What is the current market price? Select one: a. $106.67 b. $108.18 c. $182.80 d. $221.50 e. $176.60

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Answer #1

Face value of the bond = FV = $1000

YTM = 8.86%

Time to maturity in years = 20 years

Time to maturity in semi-annual periods = n = 20*2 = 40

It is a zero-coupon bond. We will use semi-annual compounding to compute the bond's price. Current price is calculated using the formula:

Price of the bond = $176.60 [Rounded to two decimals]

Answer -> $176.60 (Option e)

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