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zysi [14]
2 years ago
15

A recent project nominated for consideration at your company has a four-year cash flow of $20,000; $25,000; $30,000; and $50,000

. The cost of the project is $75,000.1.If the required rate of return is 20%, conduct a discounted cash flow calculation to determine the NPV.2.What is the benefit-cost ratio for the project3.Assuming the required rate of return remains 20%, what would the NPV of the above project be if the inflation rate was expected to be 4% in each of the next four years?
Business
1 answer:
Montano1993 [528]2 years ago
7 0

Answer:

1. $501.54

2. 1.01

3. -$5,728.56

Explanation:

The computations are shown below:

1. For net present value

Year     Cash flow     Discount factor @20%           Present value  

0          $75,000         1                                               $75,000

1            $20,000        0.8333333333                          $16,666.67

2           $25,000        0.6944444444                       $17,361.11

3           $30,000        0.5787037037                       $17,361.11

4           $50,000        0.4822530864                       $24,112.65

Total of cash inflows                                                   $75,501.54

NPV                                                                              $501.54                                      

The discount factor should be computed below

= 1 ÷ (1 + rate) ^ years

2. The benefit cost ratio would be

= Total Present value ÷ Initial investment

= $75,501.54 ÷ $75,000

= 1.01

3. 1. For net present value

Year     Cash flow     Discount factor @20%           Present value  

0          $75,000         1                                               $75,000

1            $20,000        0.8064516129                     $16,129.03

2           $25,000        0.650364204                    $16,259.11

3           $30,000        0.5244872613                    $15,734.62

4           $50,000        0.4229735978                    $21,148.68

Total of cash inflows                                                 $69,271.44

NPV                                                                            -$5,728.56                                  

The discount factor should be computed below

= 1 ÷ (1 + rate) ^ years

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