--%>

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 : Problem on required rate of return

    Tudor Online Publishing Corporation has tax rate of 35%, debt-to-equity ratio of 25%, and has (leveraged) beta 1.25. The riskless rate is 3% and the market return is 12%. Windsor Publishing Company is an all equity company and is in the same business. What is the requ

  • Q : All rates are stated annually with

    1 Assume the following (all rates are stated annually with semiannual compounding) a. Six Month Spot Rate is 2% b. Six Month Forward rate starting at month six is 2.2% c. Six Month Forward rate starting at month 12 is 2.4% d. Six Month Forward rate starting at mont

  • Q : Define Initial public offering or IPO

    Initial public offering: An initial public offering (IPO) otherwise called as stock market launch, is the first time company selling stock to public. Usually raised for capital expansion and to become publicly traded company. Investment banking firms

  • Q : Explain modern quantitative

    Explain modern quantitative methodology for portfolio selection.

  • Q : Determine the future value What would

    What would the future value after 5 years of $100 be at 10% compound interest?

  • Q : APR of Loan When you take out an $8,000

    When you take out an $8,000 car loan that calls for 48 monthly payments of $225 each, then what is the APR of loan?

  • Q : Explain the result of volatility

    Explain the result of volatility structure.

  • Q : Define Capital Projects Capital

    Capital Projects: It is a long-term investment made in order to build on, add or enhance on a capital-intensive project. A capital project is any undertaking that requires the usage of notable amounts of capital, together with financial and labor, to

  • Q : What are capital investment The capital

    The capital investment appraisal techniques such as NPV, IRR, ARR, PV and Time value of money have become irrelevant post Celtic Tiger. Due to the depth of the recession companies do not have budgets to invest. Discus First use this information when you are writing this essay: 1.&

  • Q : What are flow variables Flow variables

    Flow variables: Any variable, whose magnitude is evaluated over a time period, is termed as glow variable.