--%>

EPS problem

XY Corporation is an all equity firm with a total value of $20 million. It needs an additional capital of $5 million, which may be either equity, or debt at the interest rate of 10%. After the new capitalization, the expected EBIT is $5 million, with standard deviation of $1.5 million. The company pays income tax at 50% rate, and it has 1 million shares outstanding. What is the preferred technique of raising new capital, if the objective is to maximize the EPS? What is the probability that you are correct in your decision?

E

Expert

Verified

From the given details,

Total value of the firm is $20 million which has 1 million shares and hence the share price is $20/share. When the issue of shares is involved, to raise $5 million at $20/share, the outstanding shares will increase by 0.25 million.

854_95.22.jpg



As a result, the earnings available to common shareholders are higher under common stock alternative than they are under the debt alternative. Hence the financing method must be to raise $5 million by issuing debt at 10% interest rate.

In order to determine the probability that this decision is right, we need the indifference point between the two alternatives.

((EBIT - $0.5)(1 – 0.5) – 0)/1 = ((EBIT - $0)(1 – 0.5) – 0)/1.25
1.25*(0.5 EBIT – 0.25) = 1*(0.5 EBIT)
0.625 EBIT – 0.3125 = 0.5 EBIT
0.125 EBIT = 0.3125
EBIT = $2.5 million

Hence the probability that the above decision is right is

Z = ($2.5 – 5)/1.5 = -1.667
P(z) = 95.22%

Thus the debt financing must be recommended and the probability that this is right is 95.22%.

   Related Questions in Corporate Finance

  • Q : Explain the result of volatility

    Explain the result of volatility structure.

  • Q : Which capital structure must consider

    Which capital structure must we consider when estimating the WACC for a subsidiary valuation: the one which is reasonable according to the risk of the subsidiary’s business that the average of the company or the one the subsidiary as “tolerates/per

  • Q : Explain value of shares is Is this

    Is this correct that the value of the shares is, the “value of the results’ capitalization” that, as per to the Institute of Accounting and Auditing (ICAC) shows “the sum of the expected future results of the company throughout a certain period

  • Q : Problem on optimal capital structure

    XYZ Company has debt/assets ratio 50%, that is too high and it must be at 45% to be optimal. This debt reduction must also reduce the bankruptcy costs by $30 million. At present, XYZ has 5 million shares of common stock selling at $50 each. The tax rate of XYZ is 30%.

  • Q : Is this possible to make money in the

    Is this possible to make money in the stock market while the quotations are going down? And what is credit sale?

  • Q : Intrnational financer what are the

    what are the objectives of international finance

  • Q : Who proposed modern quantitative

    Who proposed a modern quantitative methodology for portfolio selection?

  • Q : Who published a book regarding

    Who published a book regarding option formula and risk neutrality?

  • Q : Difference between capitalization and

    Is the difference for the value creation in a company among the market value of the shares (capitalization) and their book value a good measure since its foundation?

  • Q : Is the market risk premium a parameter

    Is the market risk premium a parameter, for the world economy or for the national economy?