--%>
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 : Problem on Decision variables A factory

    A factory has three distinct systems for making similar product: System 1: Worker runs 3 machines of type-A, each of which costs $20 per day to run, each generates 100 units per day and the worker is paid $40 per day.System 2

    		•
  • Q : How companies accuse investors make

    Sometimes, companies accuse investors of performing credit sales which they make their quotations fall. Is it true?

    		•
  • Q : PV of Dividends PV of dividends:

    PV of dividends: Cortez, Inc., is expecting to pay out a dividend of $2.50 next year. After that it expects its dividend to grow at 7 percent for the next four years. What is the present value of dividends over the next five-year period if the required rate of return is 10 percent?

    		•
  • Q : Problem on required rate of return

    Tudor Online Publishing Corporation has tax rate of 35%, debt-to-equity ratio of 25%, and has (leveraged) beta 1.25. The riskless rate is 3% and the market return is 12%. Windsor Publishing Company is an all equity company and is in the same business. What is the requ

    		•
  • Q : Finance You expect KT industries (KTI)

    You expect KT industries (KTI) will have earnings per share of $3 this year and expect that they will pay out $1.50 of these earnings to shareholders in the form of a dividend. KTI's return on new investments is 15% and their equity cost of capital is 12%. The value of a share of KTI's stock is clos

    		•
  • Q : Weighted return and simple return to

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

    		•
  • Q : What is the value of stock Brushy

    Brushy Mountain Mining Company's ore reserves are being depleted, so its sales are falling. Also, its pit is getting deeper each year, so its costs are rising. As a result, the company's earnings and dividends are declining at the constant rate of 5% per year. I

    		•
  • Q : Define the term Commercial Paper

    Commercial Paper: It is an unsecured obligation issued by the corporation or bank to finance its short-term credit requirements, like accounts inventory and receivable. Maturities usually range from 2 to 270 days. The commercial paper is accessible in

    		•
  • Q : Problem on maintaining dividend Jackson

    Jackson Company has 6 million shares of common stock selling at $55 each. It also has $120 million in long-term bonds with coupon 7%, selling at 90. The tax rate of Jackson is 33%. Next year its EBIT is expected to be $25 million with a standard deviation of $7 millio

    		•
  • Q : Explain undervaluation of share on the

    Suppose we calculate g as ROE (1–p)/(1–ROE (1–p)) and the Ke by the CAPM. We replace both values into the formula PER = (ROE (1+g) – g)/ROE (Ke-g) but there PER we obtain is fully different from the one we get by dividing the quotation of the s

    		•