--%>
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 : Explain useful properties of

    Explain useful properties of low-discrepancy sequence theory or quasi random number theory.

    		•
  • Q : Relationship between flow to

    Is there any relationship in between the flow to shareholders and the net income?

    		•
  • Q : Who proposed modern quantitative

    Who proposed a modern quantitative methodology for portfolio selection?

    		•
  • Q : Who published a book regarding

    Who published a book regarding option formula and risk neutrality?

    		•
  • Q : Long-Term Debt What are Long-Term Debt

    What are Long-Term Debt and what are their main parts.

    		•
  • Q : An example of use beta of Kinepolis in

    A financial consultant is valuing the company I set as an objective (an entertainment centre) by discounting the cash flows until the end of the dealership at 7.26% (interest rate on 30-year-bonds = 5.1%; market premium = 5%, and Beta = 0.47%). 0.47 is a beta provided

    		•
  • Q : Explain the definition of WACC An

    An investment bank computed my WACC. The report is as: “the definition of the WACC is defined as WACC = RF + βu (RM – RF); here RF being the risk-free rate and βu the unleveraged beta and RM the market risk rate.” It is differ from what we

    		•
  • Q : Why required return cannot computed by

    Why can we not compute the required return (Ke) by the Gordon-Shapiro model [P0 = Div0 (1+g) / (Ke – g)] in place of using the CAPM? As we identify the current dividend (Div0) and the current share price (P0), we can acquire the growth rate of the dividend by th

    		•
  • Q : What are the different types of

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

    		•
  • Q : Problem regarding purchasing machine

    Alger Corp needs to buy some construction equipment for $50,000 that has a helpful life of 4 years with no salvage value. The Alger utilizes straight-line depreciation. Alger contains a tax rate of 30%, and it employs a discount rate of 10%. The equipment will produce

    		•