--%>

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 : Who wrote famous paper- distribution of

    Who wrote famous paper of on distribution of cotton price returns?

  • 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

  • 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 : 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 : Problem on annual lease payments Taurus

    Taurus Corporation needs a computer, which it can buy for $100,000. Taurus will depreciate the computer uniformly over its useful life of 5 years. An investment tax credit of 7% is also available, and the computer will have no residual value. Taurus plans to borrow th

  • Q : What is the Capital Cash Flow What is

    What is the Capital Cash Flow?

  • 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

  • Q : WCR lower cost of storage Inventory is

    Inventory is an important part of WCR estimation. It is a current asset, which depletes over period of time. Also, it requires creation of facility, which would help in storing the inventory and estimate the associated cost of maintaining and transporting it. The esti

  • Q : What impacts have on value of a

    What impacts have on the value of a business of high inflation?

  • Q : How can optimal capital structure be

    How can optimal capital structure be calculated?