--%>

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 : Compute the present value of the

    Is this possible to value companies by computing the present value of the Economic Value Added (EVA)?

  • Q : Selling or purchasing problem Atlas

    Atlas Realty Company is interested in buying a house and renting it out for $12,000 a year, collecting the rent in advance each year. This will depreciate the house over 25 years; however sell it after 15 years at twice its purchase price. The maintenance expenditures

  • 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 : In which cases use different WACCs Is

    Is this possible to use different WACCs within order to discount each year’s flows? In which cases?

  • Q : Financial statements The concept of

    The concept of conservatism has been influential in the development of accounting theory and practice.  A major effect of conservatism is that accountants tend to recognize losses but not gains.  For example, when the value of an asset is impaired, it is wri

  • Q : Explain influences of financial

    Does financial leverage (i.e. debt) have any influence on the Free Cash Flow, upon the Cash Flow to Shareholders, upon the growth of the company and upon the value of the shares?

  • Q : Weighted return and simple return to

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

  • Q : Strategy of Bull Spread State when

    State when market is expected to go up then what is the Strategy of Bull Spread?

  • Q : Explain market efficiency hypothesis

    According to what I read inside a book, market efficiency hypothesis means that the expected average value of variations is zero in the shares price. Thus, the best estimate of the future price of a share is its price now, as this incorporates all the available inform

  • Q : Explain consensus among the chief

    Is there any consensus among the chief authors in finance concerning the market risk premium?