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Luba_88 [7]
3 years ago
11

A company will make $74,000 in annual revenue each year for the next seven years from a new investment. The interest rate of 7.2

5 percent per year is appropriate for investments of this risk. Calculate the present value. (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
Business
1 answer:
UkoKoshka [18]3 years ago
4 0

Answer:

The present value is $395,354.84

Explanation:

The computation of the Present value is shown below

= Present value of all yearly cash inflows after applying discount factor

The discount factor should be computed by

= 1 ÷ (1 + rate) ^ years

where,  

rate is 7.25%  

Year = 0,1,2,3,4 and so on

Discount Factor:

For Year 1 = 1 ÷ 1.0725 ^ 1 = 0.9324

For Year 2 = 1 ÷ 1.0725 ^ 2 = 0.8694

For Year 3 = 1 ÷ 1.0725 ^ 3  = 0.8106

For Year 4 = 1 ÷ 1.0725 ^ 4  = 0.7558

For Year 5 = 1 ÷ 1.0725 ^ 5  = 0.7047

For Year 6 = 1 ÷ 1.0725 ^ 6  = 0.6571

For Year 7 = 1 ÷ 1.0725 ^ 7  = 0.6127

So, the calculation of a Present value of all yearly cash inflows are shown below

= (Year 1 cash inflow × Present Factor of Year 1) + (Year 2 cash inflow × Present Factor of Year 2) + (Year 3 cash inflow × Present Factor of Year 3) + (Year 4 cash inflow × Present Factor of Year 4)  + (Year 5 cash inflow × Present Factor of Year 5)  + (Year 6 cash inflow × Present Factor of Year 6)  + (Year 7 cash inflow × Present Factor of Year 7)

= ($74,000 × 0.9324 ) + ($74,000 × 0.8694  ) + ($74,000 × 0.8106 )  + ($74,000 ×  0.7558 )  + ($74,000 × 0.7047  ) + ($74,000 × 0.6571 )  + ($74,000 × 0.6127  )

= $68,997.67  + $64,333.49  + $59,984.61  + $55,929.70  + $52,148.91  + $48,623.69  + $45,336.77

= $395,354.84

We take the first four digits of the discount factor.  

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