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(Part 1) Using a 4.5% discount rate, calculate the Net Present Value, Payback, P

ID: 2631252 • Letter: #

Question

(Part 1) Using a 4.5% discount rate, calculate the Net Present Value, Payback, Profitability Index, and IRR for each of the investment projects below (note, the inflows are for each year). Based on your calculations rank the projects and support you answer. Project 1 Initial Invest= $490,000, Cash inflows of $100,000 for years 1-5 and $50,000 for years 6-10. Project 2 Initial Invest= $970,000, Cash inflows of $400,000 for years 1-3, $0 for years 4-7 and $250,000 for years 8-10. Project 3 Initial Invest= $820,000, Cash inflows of $300,000 for years 1-5, $0 for years 6-9 and $100,000 for year 10. (Part 2) Assuming a budget of $1,100,000 what are your recommendations for the three projects in the above problem. Explain. Assuming a budget of $2,200,000 what are your recommendations for the above problem? Explain.

Explanation / Answer

Solution.

1. Net Present Value

2. Payback

Project A = 4 year + 90,000 / 100,000

= 4.9 year

Project B = 2 year + 170,000 / 400,000

= 2.42 year

Project C = 2 year + 220,000 / 300,000

= 2.73 year

3. Profitability Index

Project A = 124,650 / 490,000

= 0.25

Project B = 633,300 / 970,000

= 0.65

Project C = 560,400 / 820,000

= 0.68

4. IRR

Project A = 10.38%

Project B = 20.83%

Project C = 24.86%

Used Excel Formula (=IRR(cell range) press enter

5. project recomandations.

Ranking of project according to Method

I am takeing base of decision is IRR method.

According to this method

If budget is $1,100,000 than we should be invest in Project C.

If budget is $2,200,000 than also we should be invest in Project C.

Project A B C P.V Factor 4.5% P.V ofA P.V of B P.V of C Year 0 (490,000)     (970,000)     (820,000) 1    (490,000)     (970,000)     (820,000) 1     100,000        400,000        300,000 0.956         95,600        382,400        286,800 2     100,000        400,000        300,000 0.915         91,500        366,000        274,500 3     100,000        400,000        300,000 0.876         87,600        350,400        262,800 4     100,000                   -          300,000 0.838         83,800                   -          251,400 5     100,000                   -          300,000 0.802         80,200                   -          240,600 6        50,000                   -                     -   0.767         38,350                   -                     -   7        50,000                   -                     -   0.734         36,700                   -                     -   8        50,000        250,000                   -   0.703         35,150        175,750                   -   9        50,000        250,000                   -   0.672         33,600        168,000                   -   10        50,000        250,000        100,000 0.643         32,150        160,750          64,300 Total     750,000    1,950,000    1,600,000       614,650    1,603,300    1,380,400