The following is the cash flow from a manufacturing plant in the next five years:

Annual Cash Flows
Year 1 Year 2 Year 3 Year 4 Year 5
$100,000 $20,000 $180,000 $450,000 $550,000
The CFO of the company believes that an appropriate annual interest rate on this investment is 6.5%. What is the present value of this uneven cash flow stream, rounded to the nearest whole dollar? (Note: Do not round your intermediate calculations.)

(A) $1,475,000
(B) $467,500
(C) $1,051,448
(D) $1,692,500

The sum of the present values of the stream of cash flows is $1,011,772.58

Explanation:

We need to compute the present value of the cash flows separately for each amount

The first cash flow is occurring at the end of the first year

We use the formula PV = FV/(1+i)^n  

Where PV = Present Value, FV = Future value, i = Interest rate, which is the rate at which the cash flows are to be discounted and n = the year in which the cash flow occurs

Plugging the values in the formula, we get the present value for the first year

PV = 250,000/(1+0.065)^1 = 250,000/1.065 = 93,896.71= $93,896.71

The present values for the successive years are provided as under

PV = 20,000/(1+0.065)^2 = 20,000/(1.065)2 = 17,633.1857= $17,633.1857

PV = 180,000/(1+0.065)^3 =180,000/(1.065)3 = 149,012.8365= $149,013.8365

PV = 450,000/(1+0.065)^4 =450,000/(1.065)4 = 349,795.3909= $349,795.3909

PV = 550,000/(1+0.065)^5 =550,000/(1.065)5 = 401,434.4601= $401,434.4601

Adding up the present values for each of the years, we obtain the present value of the cash flow stream

93,896.71+17,633.1857+149,013.8365+349,795.3909+401,434.4601 = $1,011,773,.58 approximately (only the final answer is rounded off to two decimal points)

The solution in word format is also attached here

d,