--%>
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 : Portfolio return probability XY Company

    XY Company has made a portfolio of such three securities: The correlation coeffic

    		•
  • Q : Profitability Ratios Profitability

    Profitability Ratios: These ratios comprise the Gross profit Margin, Net profit Margin, Operating Margin, Return on Equity (ROE), and Return on Total Assets. Such ratios help the firm to examine its profitability, the trend in profits and aid to take

    		•
  • Q : Define stock variable Stock variable :

    Stock variable: It is a variable whose value is measured or evaluated at a point of time.

    		•
  • Q : Does value of the company increase when

    According to the valuation method depends on tax shields, the value of the company (Vl) is the value of the unleveraged company (Vu) in addition with the value of tax shields (VTS), thus, the higher the interest and the higher the VTS. Therefore, does

    		•
  • Q : Define Working capital requirement

    Working capital requirement: Is a financial term known as WCR, which is used to judge the operational liquidity of the business and it is a part of operational capital. A firm in spite of having a good profitability and assets may not have a good liqu

    		•
  • Q : What is optimal capital structure What

    What is optimal capital structure?

    		•
  • Q : Expected return and standard deviation

    If an investor is considered to be risk-averse, what is his/her attitude towards expected return and standard deviation?

    		•
  • Q : What are flow variables Flow variables

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

    		•
  • Q : EPS problem XY Corporation is an all

    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 deviatio

    		•
  • Q : Problem on arbitrage opportunity John

    John Chan considers purchasing a six-month stock futures contract on the shares of Li & Fung Limited. Shares of Li & Fung Limited are now presently trading at $50 per share and it is predicted that Li & Fung Limited will pay a dividend of $1 per share in o

    		•