--%>
Assignment Help - homework help

Probability of dividend

Universal Corporation has the following dividend policy: if the earnings after taxes are less than $1 million, the dividend payout ratio will be 35%, but if these earnings are over $1 million, the dividend payout ratio will be 45%. The EBIT of Universal for next year is expected to be $10 million with a standard deviation of $4 million. Universal has $30 million in long-term bonds with coupon of 9%, and 1.5 million shares of common stock. Calculate the probability that Universal will give a dividend of more than $1 per share. The tax rate of Universal is 30%.

E

Expert

Verified

From the given details,

163_73.71.jpg

Since earnings after taxes are well above $1 million, the dividend payout ratio will be 45%. Hence if a dividend of $1/share is given, the EPS will be

0.45 = 1/EPS
EPS = 1/0.45 = 2.22

Hence profit after taxes = 2.22*1.5 million = 3.33 million

Profit before taxes = 4.76 million
EBIT = $7.462 million

In order to determine the probability,

Z = (7.462 – 10)/4 = -0.635
P(z) = 73.71%

Thus the probability that Universal will give a dividend of more than $1 per share is 73.71%.

   Related Questions in Corporate Finance

  • Q : Efficient Market Hypotheses Write

    Write Efficient Market Hypotheses in brief?

    		•
  • Q : What is the expected risk premium on

    You have decided to invest 30 percent in X; 30 percent in Y; and 40 percent in Z. Theprobability of the state of the economy is Boom 25%; Normal 60%; and, Bust 15%. The rateof return for stock X is Boom .20; Normal .15; and, Bust .00. The rate of return for stock Y is

    		•
  • Q : Financing EBIT problem Rusk Inc needs

    Rusk Inc needs $50 million in new capital that it might obtain by selling bonds at par with coupon of 12% or by selling stock at $40 (net) per share. The current capital structure of Rusk consists of $300 million (face value) of 10% coupon bonds selling at 90 and 10 m

    		•
  • Q : Efficiency Ratios Efficiency Ratios :

    Efficiency Ratios: These ratios comprise Receivables Turnover, Inventory Turnover, Asset Turnover and Net Working Capital Turnover ratios. Efficiency ratios show the utilization of Assets of the company thus as to generate Revenue that is, the best ut

    		•
  • Q : What is a 3 x 1 Split What is a 3 x 1

    What is a 3 x 1 Split?

    		•
  • Q : Financial statements The concept of

    The concept of conservatism has been influential in the development of accounting theory and practice.  A major effect of conservatism is that accountants tend to recognize losses but not gains.  For example, when the value of an asset is impaired, it is wri

    		•
  • Q : Explain merits and demerits of standard

    Explain merits and demerits of standard market practice to find the volatility as a function of underlying.

    		•
  • Q : Variance of a portfolio The variance of

    The variance of a portfolio of 40 stocks will be the addition of _______ variance terms and _______ covariance terms. A) 40; 1560B) 40; 1600C) 80; 40D) 1600; 40

    		•
  • Q : Explain new methodology of standard

    Explain new methodology of standard market practice.

    		•
  • Q : Additive risk in the CAPM Suppose that

    Suppose that the two securities APPL and MSFT account for the entire large cap technology component of the S&P 500 (hypothetically – of course – there are really plenty of others). Further, suppose that their weights in the S&P index were as follow

    		•