Consider the following two mutually exclusive projects: year cash flow (a) cash flow (b) 0 –$ 343,000 –$ 50,000 1 52,000 24,700 2 72,000 22,700 3 72,000 20,200 4 447,000 15,300 whichever project you choose, if any, you require a return of 16 percent on your investment. a-1 what is the payback period for each project? (do not round intermediate calculations and round your answers to 2 decimal places, e. g., 32.16.)

The payback period for each of the project is - project A = 3.33 and project B = 2.13

Explanation:

First of all the payback period means the amount of time it would take for  a company to recover its initial cost or investment which it has invested in the project .

Calculating the payback period for project A

Year   Cash flow      Cumulative    Discounting     Present    Discounted

                                 cash flow        factor              value        cumulative flow

( NOTE - Formula used for discounting factor = 1 / (1 + i)^n, where i = 16% which is the rate of return on the investment and n is the number of years.)

0   -$343,000       -$343,000          1                  -$343,000         -$343,000

1     $52,000         -$291,000          .86206         $44,828           -$298,172

2    $72,000          -$219,000         .74314            $53,508         -$244,665

3    $72,000          -$147,000         .64063            $46,127         -$198,537

4    $447,000         $300,000        .55226           $2,46,874        $48,337

Now we will in which year the cash flow was last negative and then in that we will add ( cumulative cash flow of the year it was last negative / cash flow of the next period ).

= 3 + $147,000 / $447,000

= 3.33 ( payback period for project A )

Calculating the payback period for project B

Year   Cash flow      Cumulative    Discounting     Present    Discounted                                                              

                                   cash flow       factor              value         cash flow

0        -$50,000         -$50,000         1                   -$50,000    -$50,000

1          $24,700          -$25,300         .86206        $21,293       -$28,707

2         $22,700          -$2600            .74314          $16,869      - $11,838

3         $20,200          $17,600           . 64063        $12,941        $1013

4         $15,300           $32,900          .55226         $8,450        $9463

Now we will in which year the cash flow was last negative and then in that we will add ( cumulative cash flow of the year it was last negative / cash flow of the next period ).

= 2 + 2600 / 20,200

= 2.13 ( payback period for project B)

rational decision making is a multi-step process for making choices between alternatives. the process of rational decision making favors logic, objectivity, and analysis over subjectivity and insight. the word “rational” in this context does not mean sane or clear-headed as it does in the colloquial sense.

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disadvantages of leasing a vehicle: no vehicle equity and mileage limitations

disadvantages of purchasing a vehicle: large down payment and vehicle depreciation

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