--%>

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 : Explain essential hypotheses for

    Which are the essential hypotheses so that valuations of the Economic Value Added (EVA) give similar results to discounting cash flows?

  • Q : Evaluating Beta of a Corporation

    Baldwin Corporation is planning to expand into the business of providing on-demand movies. Baldwin has debt-to-equity ratio of .25, its pretax cost of debt is 9%, and its marginal tax rate is 40%. The Harrington Corporation is already in the on-demand movie business,

  • Q : Difference between capitalization and

    Is the difference for the value creation in a company among the market value of the shares (capitalization) and their book value a good measure since its foundation?

  • Q : Standard deviation of portfolios returns

    Assume that you have $50,000 which you want to invest in two companies, XYZ Books and ABC Audio. XYZ has a return of 10% and standard deviation 15%, while ABC has return of 15% with a standard deviation of 20%. The correlation coefficient between them is .5. Your port

  • Q : Explain Financial Management Financial

    Financial Management: It means organizing, planning, directing and controlling the financial activities like procurement and use of funds of enterprise. This means exerting general management principles to the financial resources of enterprise. <

  • Q : Define Effective Utilization of Funds

    Effective Utilization of Funds: It is just the decision to maximize the return on investment of funds. When finance manager is not capable to raise the return by investing fund in profitable assets or other profitable projects, company’s busines

  • Q : Problem on common stock The AB Corp

    The AB Corp stock has a β of 1.15 and it will pay a dividend of $2.50 next year. The expected rate of return of the market is 17% and the current riskless rate is 9%. The expected rate of progress of AB is 4%. Find the value of its common stock.

  • Q : What is optimal capital structure What

    What is optimal capital structure?

  • Q : DCF Analysis AB Corp. is in the

    AB Corp. is in the business of making white-board markers. They are computing the potential of investing in some new equipment that will enhance their manufacturing process.  The initial cost of the latest machinery is $470,000 plus a one-time installation cost o

  • Q : Could we explain that goodwill is equal

    Could we explain that goodwill is equal to brand value?