--%>

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 : Investors are irrational or naive

    Explain how companies with substandard financial history can draw the attention of investors. Are investors irrational or naive?

  • Q : Variance of a portfolio The variance of

    The variance of a portfolio of 40 stocks will be the addition of _______ variance terms and _______ covariance terms. A) 40; 1560B) 40; 1600C) 80; 40D) 1600; 40

  • 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 : Which capital structure must consider

    Which capital structure must we consider when estimating the WACC for a subsidiary valuation: the one which is reasonable according to the risk of the subsidiary’s business that the average of the company or the one the subsidiary as “tolerates/per

  • Q : Explain valuation method for

    We were assigned a valuation of a pharmaceutical laboratory’ shares. Which valuation method is further convenient?

  • Q : Walt disney WAAC You work in Walt

    You work in Walt Disney Company’s corporate finance and treasury department and have just been assigned to the team estimating Disney’s WACC. You must estimate this WACC in preparation for a team meeting later today....?

  • Q : Leverage ratio problem Handy Inc has

    Handy Inc has debt-to-assets ratio of 40%, tax rate of 35%, and total value of $100 million. W. C. Handy, the CFO, would like to increase the leverage ratio to 42%, and he believes that there will be no change in the bankruptcy cost of the company. How many dollars wo

  • Q : Calculate their after tax cost of debt

    Your Corp, Inc. has a corporate tax rate of 35%. Please calculate their after tax cost of debt expressed as a percentage. Your Corp, Inc. has several outstanding bond issues all of whichrequire semiannual interest payments. Bond A has a coupon rate of 4.0%; a price qu

  • Q : Shall we use the arithmetic mean or the

    The market risk premium is the difference between the historical return on the stock market and the return on bonds. But how many years does “historical” imply? Shall we use the arithmetic mean or the geometric one?

  • Q : Financing EBIT problem Rusk Inc needs

    Rusk Inc needs $50 million in new capital that it might obtain by selling bonds at par with coupon of 12% or by selling stock at $40 (net) per share. The current capital structure of Rusk consists of $300 million (face value) of 10% coupon bonds selling at 90 and 10 m