Slaughter Industries just signed a sales contract with a new customer. What is this contract worth as of the end of year 4 if th
1 answer:
Answer:
$489,512.15
Explanation:
The formula for calculating future value:
FV = P (1 + r)^n
FV = Future value
P = Present value
R = interest rate
N = number of years
We are supposed to determine the present value
Present value is the sum of discounted cash flows
Present value can be calculated using a financial calculator
Cash flow in year 1 = 84,000
Cash flow in year 2 = 113,000
Cash flow in year 3 = 125,000
Cash flow in year 4 = 130,000
I = 6%
PV = 387,739.47
387,739.47(1.06)^4 = $489,512.15
To find the PV using a financial calculator:
1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.
2. after inputting all the cash flows, press the NPV button, input the value for I, press enter and the arrow facing a downward direction.
3. Press compute
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Answer:
N = 5 years
Explanation:
At first we have to calculate the number of periods to determine at which part of the table we should look at.
Given,
PV = $20,000
FV = $32,000
Interest rate, i = 0.10 (10%)
Number of periods, n = ?
We know, Future value, FV = PV ×
or, $32,000 = $20,000 ×
or, 1.6 =
As the factor is 1.6, we will look at the following image which is the FV factor table to find the number of periods.
We can find it in a different way too.
log 1.6 = n log 1.10
or, n =
or, n = 4.93 years
Therefore, n = 5 years
