--%>

Sinking Fund problem

Berks Corporation is expecting to have EBIT next year of $12 million, with a standard deviation of $6 million. Berks have $30 million in bonds with coupon of 10%, selling at par, which are being retired at the rate of $2 million annually. Berks also have 100,000 shares of preferred stock, which pays annual dividend of $5 per share. The tax rate of Berks is 40%. Calculate the probability that Berks will not be able to pay interest, sinking fund, and favored dividends, out of its current income, next year.

E

Expert

Verified

From the given details,

Sinking fund requirement = $2 million/(1 – 0.4) = $3.33 million
Interest payment requirement = $30*10% = $3 million
Preferred dividend to be paid = 100,000*$5 = $500,000 = $0.5 million
Preferred dividend requirement = $0.5 million/(1 – 0.4) = 0.833 million
Total requirement = $7.167 million

In order to determine the probability,

Z = (7.167 – 12)/6 = -0.8056
P(z) = 78.97%

This is the probability that Berks will be able to make more than its requirements. Hence the probability that Berks will not be able to pay interest, sinking fund and preferred dividends out of its current income next year is 21.03%

   Related Questions in Corporate Finance

  • Q : What is Regular meeting of day-to-day

    Regular meeting of day-to-day commitments: The estimation of WCR also helps to ensure that there is positive WC existence. This proves helpful in meeting requirements which are regular in nature such as payments of salaries, wages, rental charges etc.

  • Q : What is the sales of the firm The

    The financial ratios of a firm are as follows. Current ratio = 1.33 Acid-test ratio = 0.80 Current liabilities = 40,000 Inventory turnover ratio = 6  What is the sales of the firm?

  • Q : Active versus Passive fund managers

    Active vs. Passive fund managers: Passive fund managers adopt a long term buy and hold strategy. Usually, stocks are purchased so that the portfolio’s returns will track those of an

  • Q : Problem on financial manager

    Assume that you are a financial manager of Yuen Cheong Manufacturng Company. Due to the rising demand of product X, Yuen Cheong Manufacturng Company decides to open a new production plant in China, so it needs to take a loan of US$1 million. Bank A offers Yuen Cheong

  • Q : Define reasonable things that a company

    There are four methods a company can utilize the money this generates: a) Buying other assets or companies; b) Reducing debt of it; c) Distribute this to shareholders, and d) Increasing cash holdings of it.

  • Q : What are flow variables Flow variables

    Flow variables: Any variable, whose magnitude is evaluated over a time period, is termed as glow variable.

  • Q : Types of lease contracts What are the

    What are the types of lease contracts which are seen in practice?

  • Q : Finc . A&B Enterprises is trying to

    . A&B Enterprises is trying to select the best investment from among four alternatives. Each alternative involves an initial outlay of $100,000. Their cash flows follow: Year A B C D 1 $10,000 $50,000 $25,000 $ 0 2 20,000 40,000 25,000 0 3 30,000 30,000 25,000 45,0

  • Q : Briefly describe the financial services

    1 FINANCIAL SERVICES BY BANKS Financial system facilitates the transformation of savings of individuals, government as well as business into investment and consumption. It consists of

  • Q : Problem on implied exchange rate a) The

    a) The Australian firm sold a ship to a Swiss firm and gave the Swiss client an option of paying either AUS10,000 or SF15,000 in 9 months. (i) In above, the Australian firm efficiently gave the Swiss client a free option to buy up