--%>

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 : What is the Capital Cash Flow What is

    What is the Capital Cash Flow?

  • Q : Assessing market expectations using CAPM

    Assume that the risk-free rate is 1% and the expected market return is 9%. You are considering purchasing Super Soft stock, which currently sells for $100 a share and will pay its next (annual) dividend of $1.00 exactly one year from today. Super Soft is considered to

  • Q : Selling or purchasing problem Atlas

    Atlas Realty Company is interested in buying a house and renting it out for $12,000 a year, collecting the rent in advance each year. This will depreciate the house over 25 years; however sell it after 15 years at twice its purchase price. The maintenance expenditures

  • Q : Illustrates reserves are real money or

    The part of the net income which is not distributed to shareholders goes to reserves (to shareholders’ equity). As dividends shows real money, reserves are real money as well. Is it true?

  • Q : What are Workpapers Workpapers : In

    Workpapers: In finance world, work papers are documents which are created during the procedure of computing the financial records of a business or individual. The accounting professional which is tasked with examining the book-keeping of a business mi

  • Q : What is Box Spread Box Spread: This is

    Box Spread: This is another strategy which seeks to exploit the arbitrage opportunities which are available in the market. In case that the options are correctly priced, this strategy would earn only the risk free rate. However, due to existence of im

  • Q : Explain Corporate Development Corporate

    Corporate Development: Corporate development is a term which references the range of planning options and strategies which can assist to move a company toward its targets. The procedure of this kind of strategic development can be exerted to just abou

  • Q : Who was the first to quantify the idea

    Who was the first to quantify the idea of Brownian motion?

  • Q : Which frame work does not give very

    Which model of frame work does not provide the very good prices for bonds?

  • Q : Who introduced put–call parity Who

    Who introduced put–call parity?