Answer:
NPV = $39,230
Payback period = 3.64 years
Explanation:
The net present value (NPV) = (net annual cash flow x interest factor) - investment
NPV = ($110,000 x 3.993) - $400,000 = $439,230 - $400,000 = $39,230
The payback period = investment / net annual cash flow = $400,000 / $110,000 = 3.64 years or 3 years, 7 months and 19 days
You can also calculate the PV of each annual cash flow which will give you a more precise result, but the variation is minimal:
PV = ($110,000 / 1.08) + ($110,000 / 1.08²) + ($110,000 / 1.08³) + ($110,000 / 1.08⁴) + ($110,000 / 1.08⁵) = $439,198
and the NPV = $39,198
Total revenue and marginal cost
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Answer: Difference = $185,948.5 - $147,285. = $38,663.5
Explanation:
To calculate the future value, you have to use the formula
fv = PA (1 + r/100)ⁿ
where
FV = future value
PA = Present Amount
r = rate
n = number of years
calculating for the future value if you earn a percent of 7.5 =
fv = 5,000 (1 + 0.075) ⁵⁰
fv = 5,000 ( 1.075)⁵⁰
fv = 5,000 (37.1897)
fv = 185,948.5
calculating the Fv when the rate is 7%
fv = 5,000 (1 + 0.070) ⁵⁰
fv = 5,000 ( 1.070)⁵⁰
fv = 5,000 (29.4570)
fv = 147,285
Then find the difference between the Fv when the rate is 7.5 and when the rate is 7
Therefore difference = $185,948.5 - $147,285. = $38,663.5