Question

Lincoln Park Co. has a bond outstanding with a coupon rate of 6.04 percent and semiannual payments. The yield to maturity is 6.1 percent and the bond matures in 15 years. What is the market price if the bond has a par value of $2,000

Answer 1

Answer:

value of the bond = $2,033.33

Explanation:

We know,

Value of the bond, $B_{0} = [I * \frac{1 - (1 + i)^{-n}}{i}] + \frac{FV}{(1 + i)^n}$

Here,

Face value of par value, FV = $2,000

Coupon payment, I = Face value or Par value × coupon rate

Coupon payment, I = $2,000 × 6.04%

Coupon payment, I = $128

yield to maturity, i = 6.1% = 0.061

number of years, n = 15

Therefore, putting the value in the formula, we can get,

$B_{0} = [128 * \frac{1 - (1 + 0.061)^{-7}}{0.061}] + [\frac{2,000}{(1 + 0.061)^7}]$

or, $B_{0} = [128 * \frac{1 - (1.061)^{-7}}{0.061}] + [\frac{2,000}{(1.061)^7}]$

or, $B_{0} = [128 * \frac{0.3393}{0.061}] + 1,321.3635$

or, $B_{0} = [128 * 5.5623] + 1,321.3635$

or, $B_{0} =$ $711.9738 + 1,321.3635

Therefore, value of the bond = $2,033.33