--%>
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 : 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 : Explain accurately value bond options

    If the model could not even find bond prices right, how could this hope to accurately value bond options?

    		•
  • Q : Explain method to analyze and to value

    Are there any methods to analyze and to value seasonal businesses?

    		•
  • Q : Who was the first to quantify the idea

    Who was the first to quantify the idea of Brownian motion?

    		•
  • Q : Explain realization of name valuation

    I suppose that a valuation consciously realized in my name tells me how much I have to offer for the company, am I right?

    		•
  • Q : Explain Straddle and Strangle Straddle

    Straddle & Strangle: In the case of shorting butterfly spread, it can be seen that the gains are limited. However, there exists another strategy known as straddle which produces unlimited gains. This strategy benefits when the trader expects that

    		•
  • Q : WCR fend off takeover bid WCR fend off

    WCR fend off takeover bid: The WCR estimation ensures that a firm takes corrective action in time to correct its WC status. This ensures that the firm is always in a positive WC status. In other words, the firm will be able to pay off all its short-te

    		•
  • Q : Liquidity Ratios Liquidity Ratios :

    Liquidity Ratios: Such ratios comprise the Current Ratio and the Quick Ratio or the acid test ratio. Liquidity ratios demonstrate the Liquid position of a company in the short term that is the capability of a firm to pay its obligations in short term.

    		•
  • Q : Widgets You are required to submit a

    You are required to submit a bid to supply 200,000,000 widgets per year to the State of Illinois for the next five years. Your company has an idle tract of real estate that cost $1,500,000 ten years ago; if your company sold the land today, it would generate $3,000,000 after the taxes were paid. The

    		•
  • Q : Explain lognormal random walk based on

    Explain lognormal random walk based on Brownian motion.

    		•