--%>

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 : Portfolio return probability XY Company

    XY Company has made a portfolio of such three securities: The correlation coeffic

  • Q : How much confidence can an investor

    I heard conversation of the Earnings Yield Gap ratio, that is the difference among the inverse of the PER and the TIR on 10-year-bonds. This is said that if this ratio is positive then this is more advantageous to invest in equity. How much confidence can an investor

  • Q : Is it possible to use a constant WACC

    Is this possible to use a constant WACC in the valuation of a company along with a changing debt?

  • Q : Problems under Time Value of Money One

    One of the projects the US loan would fund is to build earthquake-resistant buildings. The projectwill begin in March 2013, last for two years and is expected to have the following expenditures:start-up costs of $200,000 paid at the beginning of the first month; renta

  • Q : Weighted return and simple return to

    What is the difference between weighted return and simple return to shareholders?

  • 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 : Who introduced put–call parity Who

    Who introduced put–call parity?

  • Q : Problem on arbitrage opportunity John

    John Chan considers purchasing a six-month stock futures contract on the shares of Li & Fung Limited. Shares of Li & Fung Limited are now presently trading at $50 per share and it is predicted that Li & Fung Limited will pay a dividend of $1 per share in o

  • Q : Determine weighting of shares done and

    When computing the WACC, is the weighting of the shares done and the debt with book values of debt and shareholder’s equity or along with market values?

  • Q : Financing EBIT problem Rusk Inc needs

    Rusk Inc needs $50 million in new capital that it might obtain by selling bonds at par with coupon of 12% or by selling stock at $40 (net) per share. The current capital structure of Rusk consists of $300 million (face value) of 10% coupon bonds selling at 90 and 10 m