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High Sky, Inc., a hot-air balloon manufacturing firm, currently has the followin

ID: 2771442 • Letter: H

Question

High Sky, Inc., a hot-air balloon manufacturing firm, currently has the following simplified balance sheet:

Assets

Liabilities and Capital

Total Assets

$     1,100,000

Bonds (10% interest)

$        600,000

Common Stock at par ($3), 100,000

shares outstanding

$        300,000

Contributed capital in excess of par

$        100,000

Retained earnings

$        100,000

   Total libalities and capital

$    1,100,000

The company is planning an expansion that is expected to cost $600,000. The expansion can be financed with new equity (sold to net the company $4 per share) or with the sale of new bonds at an interest rate of 11 percent. (The firms marginal tax rate is 40 percent.)

A) Compute the indifference point between the two financing alternatives.

B) If the expected level of EBIT for the firm is $240,000 with a standard deviation of $50,000, what is the probability that the debt financing alternatives will produce higher earnings than the equity alternative? (EBIT is normally distributed.)

C) If the debt alternative is chosen, what is the probability that the company will have negative earnings per share in any period?

Assets

Liabilities and Capital

Total Assets

$     1,100,000

Bonds (10% interest)

$        600,000

Common Stock at par ($3), 100,000

shares outstanding

$        300,000

Contributed capital in excess of par

$        100,000

Retained earnings

$        100,000

   Total libalities and capital

$    1,100,000

Explanation / Answer


The point of indifference can be calculated using the following formula:

((X-I1)(1-T) - PD)/S1 =((X-I2)(1-T) - PD)/S2

Where:

X = EBIT indifference level

I1 = Fixed interest costs under alternative 1.

I2 = Fixed interest costs under alternative 2.

PD = Preference dividend, if any.

T = Tax rate

S1 = Number of equity shares outstanding under alternative 1.

S2 = Number of equity shares outstanding under alternative 2.

T=0.4

I1=0

I2=66,000

S1=250,000

S2=100,000

Using the formula and the given values we find X to be equal to equal to 110,000.

Now if EBIT is greater than indifference value it is preferred to go for the debt alternative.

Z=(240,000-110,000)/50,000 = 2.6

Using the normal distribution tables we get that the probability that the debt alternative will produce higher profits is 99.53%

C) More information is needed

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