--%>
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 : Public Finance which type of tax,

    which type of tax, direct or indirect is applicable in underdeveloped countries? Why? Show your critical areas and weaknesses.

    		•
  • Q : Who published a book regarding

    Who published a book regarding option formula and risk neutrality?

    		•
  • 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 : Zero coupon bonds problem Shana wants

    Shana wants to purchase 5-year zero coupon bonds with a face value of $1,000. Her opportunity cost is 8.5 %. Supposing annual compounding, what would be the present market price of such bonds? (Round to the closest dollar.) (a) $1,023  (b) $665  (c) $890&nbs

    		•
  • Q : Calculated Free Cash Flow I think Free

    I think Free Cash Flow (FCF) can be acquired from the Equity Cash Flow (CFac) using the relation as: FCF = CFac + Interests – ΔD. Is it true?

    		•
  • Q : Iterative System Solvers Iterative

    Iterative System Solvers, Power Methods, and the Inverse Power Method for Boundary Value Problems. 1. Code and test Jacobi and Gauss-Sidel solvers for arbitrary diagonally dominant linear systems. 2. Compare performance/results with tridiagonal Gaussian elimination so

    		•
  • Q : Is there any optimal capital structure

    Is there any optimal capital structure?

    		•
  • Q : Who wrote famous paper- distribution of

    Who wrote famous paper of on distribution of cotton price returns?

    		•
  • Q : Problem on leasing Johnathan Lewis is

    Johnathan Lewis is looking into the possibility of buying several coin-operated vending machines and put them in local hospitals. Each machine costs $2000, that he will depreciate on a straight-line basis over 8 years. The machine will dispense soft-drink cans at 75 c

    		•
  • Q : Explain influences of financial

    Does financial leverage (i.e. debt) have any influence on the Free Cash Flow, upon the Cash Flow to Shareholders, upon the growth of the company and upon the value of the shares?

    		•