--%>
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 : Price per share for Corporation For XYZ

    For XYZ Corporation debt-to-equity ratio, marginal tax rate, and dividend payout ratio are all of 40%. The cost of debt is 10%. Cambria contains 1 million shares of common stock, and $25 million in long-term bonds. Its dividend is $1 per share. Determine the EBIT and

    		•
  • 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 : Regarding WACC Regarding the WACC which

    Regarding the WACC which has to be applied to a project, must it be an expected return, the average historical return or an opportunity cost on similar projects?

    		•
  • Q : Who were the creators of uncertain

    Who were the creators of uncertain volatility model?

    		•
  • Q : In which cases use different WACCs Is

    Is this possible to use different WACCs within order to discount each year’s flows? In which cases?

    		•
  • Q : Which taxes do I have to use for

    Which taxes do I have to utilize when calculating Free Cash Flow (FCF) – is this the medium tax rate or the marginal tax rate of the leveraged company?

    		•
  • Q : Problem on rules of the International

    RainFlower Trading Limited is a wholesaler of electronic calculators in Hong Kong. It has been importing goods from a Philippine manufacturer for eight years. The Philippine manufacturer had accepted payments in advance in the past. Recently, because of political turm

    		•
  • Q : Problem on car rental plans Ape Car

    Ape Car Rental plans to begin its business by buying 10 cars at the average price of $18,000 each, depreciating them entirely over 5 years utilizing the straight-line method. It will rent space in a parking lot for $300 a month, paying the rent in advance every month.

    		•
  • Q : Effective annual yield problem Stanley

    Stanley invested in a municipal bond which promised an annual yield of 6.7 %. The bond pays coupons twice a year. What is the effective annual yield (abbreviated as EAY) on this investment? (1) 13.4%  (2) 6.81%  (3) 6.70%  (4) None of the above

  • Q : Sinking Fund problem Berks Corporation

    Berks Corporation is expecting to have EBIT next year of $12 million, with a standard deviation of $6 million. Berks have $30 million in bonds with coupon of 10%, selling at par, which are being retired at the rate of $2 million annually. Berks also have 100,000 share

    		•