--%>

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 : Which model was great breakthrough for

    Which one model was great breakthrough for side of finance theory?

  • Q : Illustrates cost of its equity is zero

    Is this true that the cost of its equity is zero, if a company does not distribute dividends?

  • Q : Expected return for a portfolio What is

    What is the expected return for a portfolio consisting of 200 shares of Nike, 200 shares of Home Depot, and 400 shares of Intel if their expected returns are 10%, 8% and 12% respectively, and their current prices are $25, $50, and $25 per share respec

  • Q : Real estate problem Eric Rowan is

    Eric Rowan is planning to buy a house for $155,000 by borrowing money at the rate of 9%. He expects to rent the house for 5 years, collecting $20,000 annual rent in advance each year. He thinks that he can sell the house for $175,000 after five years. Fulton has incom

  • Q : Calculated Free Cash Flow I think Free

    I think Free Cash Flow (FCF) can be acquired from the Equity Cash Flow (CFac) using the relation as: FCF = CFac + Interests – ΔD. Is it true?

  • 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 : Zero coupon bonds problem Shana wants

    Shana wants to purchase 5-year zero coupon bonds with a face value of $1,000. Her opportunity cost is 8.5 %. Supposing annual compounding, what would be the present market price of such bonds? (Round to the closest dollar.) (a) $1,023  (b) $665  (c) $890&nbs

  • Q : Assignment help for Financial Statement

    HW I: Show your approach to each problem (formulas, variables, etc.) You can use Excel sheet formulas to show the work or use the Finance calculator terms. For the ABC answers: choose the correct answer and delete the rest.

  • Q : Problem on Stock per share value ABC

    ABC Company plans to buy back 1 million shares of its own stock from its cash reserves at $50 a share. This will raise the bankruptcy costs by $10 million, and the debt/assets ratio from 35% to 40%. The income tax rate of the company is 30%. Determine the value of the

  • Q : Illustrates beta and capital structure

    We are valuing a company, many smaller than ours, so as to buy it. As that company is too smaller than ours this will have no influence on the capital structure and at the risk of the resulting company. It is the reason why I believe this the beta and the capital stru