What is the yield to maturity of a -year, bond with a % coupon rate and semiannual coupons if this bond is currently trading for a price of ?

What is the yield to maturity of a five-year, $5000 bond with a 4.5% coupon rate and semi-annual coupons if this bond is currently trading for a price of $4876?

A) 6.30%

B) 4.50%

C) 4.30%

D) 5.07%

E) 8.60%

5.07%

Explanation:

Given the following parameters from the question:

Number of years = 5

N => Number of compounding periods = 5 * 2 = 10

FV => Face Value = $5,000

PV => Present Value = $4876

Percentage rate = 4.5%

PMT => Annuity Payment = Face Value * percentage

=> 5,000 * 0.045 = 225

Given that, it is semi annual rate, we have 225 / 2 = 112.5

CPT YTM or I/Y => Yield to Maturity = 2.53 * 2 = 5.07%

Hence, the final answer is 5.07%

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