Charisma, inc., has debt outstanding with a face value of $6 million. the value of the firm if it were entirely financed by equity would be $28.4 million. the company also has 415,000 shares of stock outstanding that sell at a price of $56 per share. the corporate tax rate is 25 percent. what is the decrease in the value of the company due to expected bankruptcy costs? (do not round intermediate calculations and enter your answer in dollars, not millions of dollars, rounded to the nearest whole number, e.g., 1,234,567.)

$660,000

Explanation:

According to M & M proportion I with taxes, the value of the levered firm is:

V (Firm) = V (Equity) + V (Debt)

             = $28,400,000 + 0.25(6,000,000)

             = $28,400,000 + $1,500,000

             = $29,900,000

Total market value of the firm:

= Market value of the debt + Market value of equity

= $6,000,000 + stock outstanding × Selling price per share

= $6,000,000 + 415,000 × $56 per share

= $29,240,000

With non-marketed claims, such as bankruptcy costs, we would expect the two values to be the same.

The differences are the non-marketed claims:

Expected bankruptcy costs = $29,900,000 - $29,240,000

                                              = $660,000

$1,159.22

Explanation:

to determine the price of the bond immediately after it pays its first coupon:

YTM = {coupon rate + [(face value - market value)/n]} / [(face value + market value)/2]

0.063 = {75 + [(1,000 - market value)/9]} / [(1,000 + market value)/2]

0.0315 x (1,000 + x) = 75 + [(1,000 - x)/9]

31.5 + 0.0315x = 75 + 111.11 - 0.1111x

0.0315x + 0.1111x = 154.61

0.1426x = 154.61

x = 154.61 / 0.1426 = $1,084.22

the price of the bond immediately before it makes its first coupon payment = $1,084.22 + $75 = $1,159.22