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svlad2
8 days ago
15

Wilson Co. is considering two mutually exclusive projects. Both require an initial investment of $10,000 at t = 0. Project X has

an expected life of 2 years with after-tax cash inflows of $6,000 and $8,500 at the end of Years 1 and 2, respectively. In addition, Project X can be repeated at the end of Year 2 with no changes in its cash flows. Project Y has an expected life of 4 years with after-tax cash inflows of $4,600 at the end of each of the next 4 years. Each project has a WACC of 11%. What is the equivalent annual annuity of the most profitable project?a. $1,345.50b. $1,346.30c. $1,361.52d. $1,376.74e. $1,411.15
Business
1 answer:
Nady [2.9K]8 days ago
8 0

Answer:

d. $1,376.74

Explanation:

The NPV for Project X is calculated as follows:

Year Cash outflow/inflow Present value factor      Present value

0              -$10,000.00                         1                   -$10,000.00

1                 $6,000.00                   0.900901              $5,405.41

2                 $8,500.00                     0.811622              $6,898.79

NPV                                                                        $2,304.20

For Project Y, the NPV is:

Year Cash outflow/inflow Present value factor      Present value

0                -$10,000.00                       1                   -$10,000.00

1                   $4,600.00              0.900901             $4,144.14

2                   $4,600.00                  0.811622             $3,733.46

3                    $4,600.00                   0.731191                   $3,363.48

4                    $4,600.00                  0.658731             $3,030.16

Total                                                                        $4,271.25

The formula for calculating Equivalent Annual Annuity is expressed as:

C = r*(NPV)/(1-(1+r)-n)

For Project X, where NPV = $2304.20

using r = 11% and n = 2

Plugging in values into the formula gives us:

C = 11%*$2304.20/(1-(1+11%)−2

    =$1345.38

For Project Y, where NPV = $4271.25

using r = 11% and n = 4

Inserting the values into the formula, we find C = 11%*$4271.25/(1-(1+11%)−4

   = $1376.74

Thus, the more profitable project is Y, with an equivalent annual annuity of $1376.74.

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