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24 March, 08:53

Proposals A and B each cost $600,000 and have 5-year lives. Proposal A is expected to provide equal annual net cash flows of $159,000, while the net cash flows for Proposal B are as follows:

Year 1 $150,000

Year 2 140,000

Year 3 110,000

Year 4 150,000

Year 5 50,000

$600,000

Determine the cash payback period for each proposal. Round your answers to two decimal places, if necessary.

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  1. 24 March, 09:58
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    1. Payback period for proposal A = 3.77 years (Approx)

    2. Payback period for proposal B = 5 years.

    Explanation:

    Payback period = Initial investment / Net annual cash inflow

    Payback period for proposal A = Initial investment / Net annual cash inflow

    Payback period for proposal A = $600000 / $159000

    Payback period for proposal A = 3.7735 years

    Payback period for proposal A = 3.77 years (Approx)

    Payback period for Proposal B:

    Computation of cumulative cash flow.

    Year Cash flow Cumulative cash flow

    1 $1,50,000 $1,50,000

    2 $1,40,000 $2,90,000

    3 $1,10,000 $4,00,000

    4 $1,50,000 $5,50,000

    5 $50,000 $6,00,000

    $600,000 is recovered in 5th year,

    So,

    Payback period for proposal B = 5 years.
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