--%>

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 : Who was the first to quantify the idea

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

  • 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 : CAPM-Project Evaluation and Risk

    UCD Vet Products – a hypothetical publicly traded corporation (UCDV) — is considering investing in a new line of equine DNA analysis technology for race horse breeders. The project will yield the net cash flows listed in the table below. Assume that this p

  • Q : Explain Cost of capital aspect Cost of

    Cost of capital aspect: Estimation of WCR is beneficial from the point of view of cost of capital too. A sound working capital position is beneficial from the point of view of both owners and lenders of the company. A sufficiently positive position me

  • Q : What is nonlinearity in option pricing

    What is nonlinearity in option pricing model?

  • Q : FIN3000 Corporate Finance Task

    Task Description Length: 1000-2000 words (up to 500 words above 2000 permitted) Description: • Complete this assignment in groups of 4-5 students. • Maintain a portfolio of financial issues taken from 8 news sources. • Analyse the articles with reference to theory covered in class and highlig

  • Q : Is net income of a year is doubtful for

    Is the net income of a year money the company made that given year or is this a number whose importance is quite doubtful?

  • Q : Case Study 2 You have joined Zurich

    You have joined Zurich Pvt. Ltd as a Finance manager. You are given the following information: Zurich Pvt Ltd. is a diversified manufacturing firm dealing with electrical appliances. In 2012, the firm reported an operating income of Rs. 857.60 million and faced a tax rate of 35% on income. The firm

  • Q : Define Project Financing Project

    Project Financing: It is the procedure of determining how to go around obtaining the resources needed in managing the costs related with the launch and continuing operation of a project. Whereas this procedure sometimes comprises the re-allocation of

  • Q : Define Credit and Collections Credit &

    Credit & Collections: Usually, credit is stated as the procedure of providing a loan, in which one party transfers wealth to the other with the expectation that it will be re-paid in full plus interest. The definition of collections is connected t