Question

In order to accurately assess the capital structure of a firm, it is necessary to convert its balance sheet figures to a market value basis. KJM Corporation's balance sheet as of today is as follows: Long-term debt (bonds, at par) $10,000,000 Preferred stock 2,000,000 Common stock ($10 par) 10,000,000 Retained earnings 4,000,000 Total debt and equity $26,000,000 The bonds have a 4.0% coupon rate, payable semiannually, and a par value of $1,000. They mature exactly 10 years from today. The yield to maturity is 12%, so the bonds now sell below par. What is the current market value of the firm's debt

Answer 1

$5,412,000

Step-by-step explanation:

The semi annual interest = $20

Periods (n) till maturity are 10*2 = 20

Discounting rate is 12%/2 = 6%

Principal amount is $1,000

Market Value = 20 * PVIFA (20,6%) + 1,000 * PVIF (20,6%)

Market Value = 20 * 11.4699 + 1,000 * 0.3118

Market Value = 229.398 + 311.8

Market Value = 541.198

Market value = $541.20

Number of bonds = 10,000,000/1,000

Number of bonds = 10,000

Current market value = Number of bonds * Market value

Current market value = 10,000 * 541.20

Current market value = $5,412,000