Answer = 3(A) | |||||||
CALCULATION OF THE NET PRESENT VALUE OF THE PROJECT A | |||||||
Years | Cash Flows | PVF of $ 1 @ 11% | Present Value | ||||
0 | -$1,000 | 1.00000 | -$1,000.00 | ||||
1 | $500 | 0.90090 | $450.45 | ||||
2 | $500 | 0.81162 | $405.81 | ||||
3 | $500 | 0.73119 | $365.60 | ||||
4 | $500 | 0.65873 | $329.37 | ||||
5 | $500 | 0.59345 | $296.73 | ||||
6 | $200 | 0.53464 | $106.93 | ||||
7 | $350 | 0.48166 | $168.58 | ||||
8 | $360 | 0.43393 | $156.21 | ||||
9 | $200 | 0.39092 | $78.18 | ||||
10 | $200 | 0.35218 | $70.44 | ||||
11 | $200 | 0.31728 | $63.46 | ||||
Total | $3,010 | $1,492 | |||||
CALCULATION OF THE NET PRESENT VALUE OF THE PROJECT B | |||||||
Years | Cash Flows | PVF of $ 1 @ 11% | Present Value | ||||
0 | -$800 | 1.00000 | -$800.00 | ||||
1 | $420 | 0.90090 | $378.38 | ||||
2 | $420 | 0.81162 | $340.88 | ||||
3 | $420 | 0.73119 | $307.10 | ||||
4 | $420 | 0.65873 | $276.67 | ||||
5 | $420 | 0.59345 | $249.25 | ||||
6 | $300 | 0.53464 | $160.39 | ||||
7 | $300 | 0.48166 | $144.50 | ||||
8 | $300 | 0.43393 | $130.18 | ||||
9 | $450 | 0.39092 | $175.92 | ||||
10 | $260 | 0.35218 | $91.57 | ||||
11 | $260 | 0.31728 | $82.49 | ||||
Total | $3,170 | $1,537 | |||||
Answer = 7) | |||||||
IRR : IRR Means with a particular Percentage rate , At that point the present value become the zero | |||||||
First we calculate randomly present value with @ 50% discounting rate | |||||||
Years | Cash Flows | PVF of $ 1 @ 50% | Present Value | ||||
0 | -$800 | 1.00000 | -$800.00 | ||||
1 | $420 | 0.66667 | $280.00 | ||||
2 | $420 | 0.44444 | $186.67 | ||||
3 | $420 | 0.29630 | $124.44 | ||||
4 | $420 | 0.19753 | $82.96 | ||||
5 | $420 | 0.13169 | $55.31 | ||||
6 | $300 | 0.08779 | $26.34 | ||||
7 | $300 | 0.05853 | $17.56 | ||||
8 | $300 | 0.03902 | $11.71 | ||||
9 | $450 | 0.02601 | $11.71 | ||||
10 | $260 | 0.01734 | $4.51 | ||||
11 | $260 | 0.01156 | $3.01 | ||||
Total | $3,170 | $4.20 | |||||
With PVF of 50% we are getting positive = | $4.20 | ||||||
Secondly we calculate randomly present value @ 51 % discounting rate | |||||||
Years | Cash Flows | PVF of $ 1 @ 51% | Present Value | ||||
0 | -$800 | 1.00000 | -$800.00 | ||||
1 | $420 | 0.66225 | $278.15 | ||||
2 | $420 | 0.43858 | $184.20 | ||||
3 | $420 | 0.29045 | $121.99 | ||||
4 | $420 | 0.19235 | $80.79 | ||||
5 | $420 | 0.12738 | $53.50 | ||||
6 | $300 | 0.08436 | $25.31 | ||||
7 | $300 | 0.05587 | $16.76 | ||||
8 | $300 | 0.03700 | $11.10 | ||||
9 | $450 | 0.02450 | $11.03 | ||||
10 | $260 | 0.01623 | $4.22 | ||||
11 | $260 | 0.01075 | $2.79 | ||||
Total | $3,170 | -$10 | |||||
Net Present Value = | -$20.34 | ||||||
With PVF of 51 % we are getting negative = | -20.34 | ||||||
So the differecne in both % net present value is = | $4.20 | "-" | -$20.34 | ||||
Total is become = | $24.54 | ||||||
So , the difference % = | $4.20 | "/"By | $24.54 | ||||
So , the difference % = | 0.17 | ||||||
So, the IRR = | 50.17% | ||||||
Question 8) | |||||||
Net present value of the Project B is more than Project A so we can choose the project B | |||||||
Answer = Project B | |||||||
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