In: Economics
Two alternative start-up FinTech projects were being contemplated for financing by a venture capitalist to determine which one is more viable, based on cost and returns. Table 4.1 below shows a five-year schedule for the two projects:
Table 4.1
Project |
Start of Project |
End of 1st Year |
End of 2nd Year |
End of 3rd Year |
End of 4th Year |
End of 5th Year |
BlockChain GoPay |
($230,000) |
($32,000) |
$66,000 |
$96,000 |
$106,000 |
$119,000 |
DLT CloudPay |
($276,000) |
$20,000 |
$65,000 |
$96,000 |
$102,000 |
$118,000 |
NPV = Today's value of expected future cash flow - Today's value of invested cash
Calculating present value
Present value =
r = rate of interest = 7.5% or 0.075
The present value of the 1st project is as follows:
1st year = -32,000/(1+0.075)^1 = -$29,767.44
2nd year = 66,000/(1.075)^2 = $57,111.95
3rd year = 96,000/(1.075)^3 = $77,276.21
4th year = 106,000/(1.075)^4 = $79,372.86
5th year = 119,000/(1.075)^5 = $82,890.48
Net present value = Sum of expected future cash flow - Initial investment
Sum of future cash flow = $266,884.06
NPV = $266,884.06 - $230,000 = $36,884.06
Same with 2nd project
1st year = 20,000/(1+0.075)^1 = $18,604.65
2nd year = 65,000/(1.075)^2 = $56,246.62
3rd year = 96,000/(1.075)^3 = $77,276.21
4th year = 102,000/(1.075)^4 = $76,377.65
5th year = 118,000/(1.075)^5 = $82,193.92
Net present value = Sum of expected future cash flow - Initial investment
Sum of future cash flow = $310,699.06
NPV = $310,699.06 - $276,000
= $34,699.06
Since the NPV of the first project is higher, 1st project is recommended
2. The internal rate of return is the interest rate at which the Net Present Value of all cash flows is equal to zero.
So if a project's internal rate of return is higher it means the interest rate would have to be that high for its NPV to be 0. In other words, Higher NPV is better.
I calculated NPV using a spreadsheet and using the formula =IRR( data range) Only data have to be selected
This image shows all the work used to calculate NPV for the first question and that formula for IRR.
IRR for the first project is 11.66% and the second project is 11.26%.
Since IRR for 1st project is higher, the first project is recommended.