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Huggins Co. has identified as investment project with the following cash flows.

Yr 1 = 800
Yr 2 = 1090
Yr 3 = 1350
Yr 4 = 1475
a) If the discount rate is 7%, what is the present value of these cash flows?
b) What is the present value at 17%?
c) What is the present value at 25%?

User BentFX
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1 Answer

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Final answer:

The present value of cash flows can be calculated using the formula PV = Cash Flow / (1 + Discount Rate)^n. The present value of the cash flows provided at different discount rates are $747.66, $952.87, $1,118.45, and $1,132.54 at a 7% discount rate; $683.76, $803.96, $895.15, and $893.53 at a 17% discount rate; and $640, $703.29, $715.97, and $691.75 at a 25% discount rate.

Step-by-step explanation:

The present value (PV) of cash flows can be calculated using the formula:

PV = Cash Flow / (1 + Discount Rate)^n

where PV is the present value, Cash Flow is the cash flow in each year, Discount Rate is the discount rate, and n is the number of years.

For the cash flows provided, the present value at different discount rates is as follows:

  1. At a 7% discount rate:
    Yr 1: 800 / (1 + 0.07)^1 = $747.66
    Yr 2: 1090 / (1 + 0.07)^2 = $952.87
    Yr 3: 1350 / (1 + 0.07)^3 = $1,118.45
    Yr 4: 1475 / (1 + 0.07)^4 = $1,132.54
  2. At a 17% discount rate:
    Yr 1: 800 / (1 + 0.17)^1 = $683.76
    Yr 2: 1090 / (1 + 0.17)^2 = $803.96
    Yr 3: 1350 / (1 + 0.17)^3 = $895.15
    Yr 4: 1475 / (1 + 0.17)^4 = $893.53
  3. At a 25% discount rate:
    Yr 1: 800 / (1 + 0.25)^1 = $640
    Yr 2: 1090 / (1 + 0.25)^2 = $703.29
    Yr 3: 1350 / (1 + 0.25)^3 = $715.97
    Yr 4: 1475 / (1 + 0.25)^4 = $691.75

User Omar Osama
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