--%>
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 : Commercial Banking Assignment Part I

    Part I Guidelines and requirements: The questions in Part I of this assignment are based on the materials covered in Units 1 and 2. Please write a short-ess

    		•
  • Q : Convertible Bonds-Corporate Bonds State

    State the term Convertible Bonds in Corporate Bonds?

    		•
  • Q : Problem on implied exchange rate a) The

    a) The Australian firm sold a ship to a Swiss firm and gave the Swiss client an option of paying either AUS10,000 or SF15,000 in 9 months. (i) In above, the Australian firm efficiently gave the Swiss client a free option to buy up

    		•
  • Q : Weighted return and simple return to

    What is the difference between weighted return and simple return to shareholders?

    		•
  • 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 : Who explained the high-peak/fat-tails

    Who explained the high-peak/fat-tails?

    		•
  • Q : Calculate their after tax cost of debt

    Your Corp, Inc. has a corporate tax rate of 35%. Please calculate their after tax cost of debt expressed as a percentage. Your Corp, Inc. has several outstanding bond issues all of whichrequire semiannual interest payments. Bond A has a coupon rate of 4.0%; a price qu

    		•
  • Q : Problem on common stock The AB Corp

    The AB Corp stock has a β of 1.15 and it will pay a dividend of $2.50 next year. The expected rate of return of the market is 17% and the current riskless rate is 9%. The expected rate of progress of AB is 4%. Find the value of its common stock.

    		•
  • Q : Determine the future value What would

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

    		•
  • Q : Explain few Spanish mutual funds

    Is this true that very little Spanish mutual funds outperform their benchmark? Isn’t this strange?

    		•