--%>
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 : Option Trading Strategies Explain the

    Explain the term Option Trading Strategies?

    		•
  • Q : What is Regular supply of working

    Regular supply of working capital: The working capital requirement (WCR) estimation helps to ensure that the supply of raw material, which is essential to production, is uninterrupted. Therefore, the firm will be able to get sufficient credits and fun

    		•
  • Q : Problem on maintaining dividend Jackson

    Jackson Company has 6 million shares of common stock selling at $55 each. It also has $120 million in long-term bonds with coupon 7%, selling at 90. The tax rate of Jackson is 33%. Next year its EBIT is expected to be $25 million with a standard deviation of $7 millio

    		•
  • Q : Explain Financial Management Financial

    Financial Management: It means organizing, planning, directing and controlling the financial activities like procurement and use of funds of enterprise. This means exerting general management principles to the financial resources of enterprise. <

    		•
  • Q : Types of agency Types of agency :

    Types of agency: Specific types of Agency include:A) Auctioneers: Are an agent of vendor until the fall of the hammer when they become an agent for the purchaser.B)

    Q : State Transition Management Transition

    Transition Management: It is a financial service accessible to institutional investors who require making significant modifications to their portfolios, like merging, selling, or substantially restructuring them. This procedure can expose investors to

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

    Who explained the high-peak/fat-tails?

    		•
  • Q : Who explained market-neutral delta

    Who explained market-neutral delta hedging?

    		•
  • Q : Who proposed modern quantitative

    Who proposed a modern quantitative methodology for portfolio selection?

    		•
  • Q : Problem on annual mortgage payment You

    You just took out a variable-rate mortgage on your new home. The mortgage value is $100,000, the term is 30 years, and initially the interest rate is 8%. The interest rate is fixed for 5 years, after which the time rate will be adjusted according to the prevailing rat

    		•