--%>
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 : Low-discrepancy sequence or quasi

    Who proposed definition and development of low-discrepancy sequence theory or quasi random number theory?

    		•
  • Q : Problem on raising new capital AB

    AB Corporation has 3 million shares of common stock selling at $19 each. It also contains $25 million in bonds with coupon rate of 8%, selling at par. AB requires $10 million in new capital that it can raise by selling stock at $18, or bonds at 9% interest. The expect

    		•
  • Q : What is Regular supply of working

    Regular supply of working capital: The working capital requirement (WCR) estimation helps to ensure that the supply of raw material, which is essential to production, is uninterrupted. Therefore, the firm will be able to get sufficient credits and fun

    		•
  • Q : Is the market risk premium a parameter

    Is the market risk premium a parameter, for the world economy or for the national economy?

    		•
  • 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 : 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 : Tax benefits of lease FedEx would like

    FedEx would like to acquire 300 vans for its business. It can buy each van for $35,000, depreciate it completely over 5 years, and then sell it for $10,000. The tax rate of FedEx is 30%, and its cost of debt is 10%. Avis Fleet Rental will lease these vans to FedEx for

    		•
  • Q : Could we explain that goodwill is equal

    Could we explain that goodwill is equal to brand value?

    		•
  • Q : How could we project exchange rates How

    How could we project exchange rates within order to be capable to forecast exchange differences?

    		•
  • Q : Problem on Bond Price Kevin is

    Kevin is interested in buying a 5-year bond which pays a coupon of 10 % on a semi-annual basis. The present market rate for similar bonds is 8.8 %. What must be the present price of this bond? (Round to the closest dollar.) (a) $1,048  (b) $965  (c) $1,099&n

    		•