--%>

Purchaing or leasing problem

Crawford Corporation is planning to lease a machine for the next 4 years for an annual lease payment of $3,000 paid in advance, plus a non-refundable initial fee of $3,000. There is a 1-year delay for the tax benefits of leasing. Crawford may buy the machine, depreciate it fully over the next 4 years, and then sell it for 10% of the purchase price. Crawford can borrow the money at 9% interest rate to finance the purchase, and its tax rate is 30%. Compute the price of the machine, which will make purchasing or leasing to be equally costly.

E

Expert

Verified

If the company has to be indifferent to leasing or buying, the net present value has to be set at zero. Let I be the price of machine. The after-tax cost of borrowing is 9% (1 – 0.3) = 6.3%.

Depreciation tax shield lost = (I/4)*0.3 = 0.075I
Payment shield = 3000*0.3 = $900
NPV = 0
I – 3000 – 3000 – (3000)(2.658)  + (900 - 0.075I)*3.44 – 0.07I*0.7832 = 0
I – 6000 – 5582.31 – 0.258I – 0.0548I = 0
0.687I = 10877.44
I = $15,831.66

   Related Questions in Corporate Finance

  • 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 : 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 : Long-Term Financing Needed Long-Term

    Long-Term Financing Needed : - At year-end 2012, total assets for Ambrose Inc. were $1.2 million and accounts payable were $375,000. Sales, which in 2012 were $2.5 million, are expected to increase by 25% in 2013. Total ass

  • 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 : Provide three examples of mutually

    provide three examples of mutually exclusive projects?

  • Q : Why required return cannot computed by

    Why can we not compute the required return (Ke) by the Gordon-Shapiro model [P0 = Div0 (1+g) / (Ke – g)] in place of using the CAPM? As we identify the current dividend (Div0) and the current share price (P0), we can acquire the growth rate of the dividend by th

  • Q : What repercussions do variations in

    What repercussions do variations in the oil price have on the value of a company?

  • Q : Explain the Monte Carlo evaluation of

    Explain the Monte Carlo evaluation of integrals.

  • 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 : Markets are expected to be Volatile

    When Markets are expected to be Volatile: For the bear and bull strategy to yield gains, it is essential that the trader takes a view on the direction of the market i.e. either bearish or bullish, and accordingly implement the strategic choice. More o