Question on Capital budgeting (Net Present Value)

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  • #188118
    nestle_life
    Member

    Hey guys, I don’t remember most of the material in finance from college, so I have a problem understanding this question.

    Q) For the next 2 years, a lease is estimated to have an operating net cash inflow of $7,500 per annum, before adjusting for $5K per annum tax basis lease amortization, and a 40% tax rate. The PV of an ordinary annuity for $1 per year at 10% for 2 years is $1.74. What is the lease’s after tax PV using a 10% discount factor?

    A) The answer should be: (7,500 * 1.74) – (7500-5000)(40%)(1.74) = $11,310

    Me: What I did –>

    $7,500 [Cash flow]

    5000 * .4 = 2,000 [tax shield]

    Total = $9,500

    $9,500 * 0.6 = $5,700 [after-tax cash flow] (Am I right here?)

    $5,700 * 1.74 = $9,918

    I don’t understand why I multiplied 0.6 by the depreciation. What am I not getting right? I’m not having a clear understanding of something, but I can’t pinpoint exactly what the concept is.

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