Answers
IRR : IRR Means with a particular Percentage rate , At that point the present value become the zero | |||||||
CALCULATION OF THE IRR OF THE PROJECT A | |||||||
First we calculate randomly present value with @ 10% discounting rate | |||||||
Years | Cash Flows | PVF @10% | Present Value | ||||
0 | -$8,800 | 1 | -$8,800.00 | ||||
1 | $3,400 | 0.9091 | $3,090.91 | ||||
2 | $4,200 | 0.8264 | $3,471.07 | ||||
3 | $3,000 | 0.7513 | $2,253.94 | ||||
Net Present Value = | $15.93 | ||||||
With PVF of 10% we are getting positive = | $15.93 | ||||||
Secondly we calculate randomly present value @ 11 % discounting rate | |||||||
Years | Cash Flows | PVF @ 11% | Present Value | ||||
0 | -$8,800 | 1 | -$8,800.00 | ||||
1 | $3,400 | 0.9009 | $3,063.06 | ||||
2 | $4,200 | 0.8116 | $3,408.81 | ||||
3 | $3,000 | 0.7312 | $2,193.57 | ||||
Net Present Value = | -$134.55 | ||||||
With PVF of 11 % we are getting negative = | -134.55 | ||||||
So the differecne in both % net present value is = | $15.93 | "-" | -$134.55 | ||||
Total is become = | $150.48 | ||||||
So , the difference % = | $15.93 | "/"By | $150.48 | ||||
So , the difference % = | 0.11 | ||||||
So, the IRR = | 10.11% | ||||||
Answer = IRR = | 10.11% | ||||||
CALCULATION OF THE IRR OF THE PROJECT B | |||||||
First we calculate randomly present value with @ 18% discounting rate | |||||||
Years | Cash Flows | PVF @18% | Present Value | Cash Flows | |||
0 | -$6,400 | 1 | -$6,400.00 | -$6,400 | |||
1 | $1,900 | 0.8475 | $1,610.17 | $1,900 | |||
2 | $4,500 | 0.7182 | $3,231.83 | $4,500 | |||
3 | $2,600 | 0.6086 | $1,582.44 | $2,600 | |||
Net Present Value = | $24.44 | ||||||
With PVF of 18% we are getting positive = | $24.44 | ||||||
Secondly we calculate randomly present value @ 19 % discounting rate | |||||||
Years | Cash Flows | PVF @ 19% | Present Value | ||||
0 | -$6,400 | 1.0000 | -$6,400.00 | ||||
1 | $1,900 | 0.8403 | $1,596.64 | ||||
2 | $4,500 | 0.7062 | $3,177.74 | ||||
3 | $2,600 | 0.5934 | $1,542.88 | ||||
Net Present Value = | -$82.74 | ||||||
With PVF of 19 % we are getting negative = | -82.74 | ||||||
So the difference in both % net present value is = | $24.44 | "-" | -$82.74 | ||||
Total is become = | $107.18 | ||||||
So , the difference % = | $24.44 | "/"By | $107.18 | ||||
So , the difference % = | 0.23 | ||||||
So, the IRR = | 18.23% | ||||||
Answer = IRR = | 18.23% | ||||||
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