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%
Answer:
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%
