Question

Even though most corporate bonds in the United States make coupon payments semiannually, bonds issued elsewhere often have annual coupon payments. Suppose a German company issues a bond with a par value of €1,000, 15 years to maturity, and a coupon rate of 7.3 percent paid annually.If the yield to maturity is 8.6 percent, what is the current price of the bond? (Do not round intermediate calculations and round your final answer to 2 decimal places. (e.g., 32.16))
Current price �

Answer 1

Answer:

892.69

Explanation:

Given the following :

Par value of bond (FV) = 1000

Period (n) = 15 years

Coupon rate (r) = 7.3% annually

Yield to maturity (r) = 8.6% = 0.086

The coupon price = 7.3% of par value

Coupon price (C) = 0.073 * 1000 = 73

Current price of bond can be computed using the relation:

= C * [1 - 1 / (1 + r)^n] / r + (FV / (1 + r)^n)

73 * [1 - 1/(1+0.086)^15]/0.086 + 1000/(1 + 0.086)^15

73*(1 - 1/3.44704)/0.086 + (1000/(1.086)^15)

= 73*8.2546131 + 290.10326

= 602.5867563 + 290.10326

= 892.69