--%>
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 : Define capital goods Capital goods :

    Capital goods: Goods employed in producing other goods are termed as capital goods.

    		•
  • Q : Who explain match theoretical & market

    Who demonstrated that how to match theoretical and market prices for normal bonds?

    		•
  • Q : State Exploitation of favorable market

    Exploitation of favorable market conditions: The firms after estimating WCR are in a position to clearly identify their status of excess current assets. After this realization they can use this knowledge to encash conditions arising in market even for

    		•
  • Q : Walt disney WAAC You work in Walt

    You work in Walt Disney Company’s corporate finance and treasury department and have just been assigned to the team estimating Disney’s WACC. You must estimate this WACC in preparation for a team meeting later today....?

    		•
  • Q : Problem on Corp stocking Cheever Corp

    Cheever Corp stock is selling at $40 a share. Its dividend in subsequent year will be $2 a share and its β is 1.25. Crane Company has similar growth rate as Cheever. The current stock price of Crane is $55 a share, and its dividend this year is $3. The riskless r

    		•
  • Q : What are the different types of

    What are the different types of mathematics found in quantitative finance?

    		•
  • Q : Shall we use the arithmetic mean or the

    The market risk premium is the difference between the historical return on the stock market and the return on bonds. But how many years does “historical” imply? Shall we use the arithmetic mean or the geometric one?

    		•
  • Q : Explain Cost of capital aspect Cost of

    Cost of capital aspect: Estimation of WCR is beneficial from the point of view of cost of capital too. A sound working capital position is beneficial from the point of view of both owners and lenders of the company. A sufficiently positive position me

    		•
  • Q : Determine the future value What would

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

    		•
  • Q : Explain market efficiency hypothesis

    According to what I read inside a book, market efficiency hypothesis means that the expected average value of variations is zero in the shares price. Thus, the best estimate of the future price of a share is its price now, as this incorporates all the available inform

    		•