Question No. 1
Calculate the Net Present Value and Profitability Index for each project.
Year
Project Alpha
Rs.(000)
Project Beta
Rs.(000)
0
(200,000)
(200,000)
1
60,000
55,000
2
80,000
65,000
3
75,000
70,000
4
60,000
80,000
Ans:
Present value of Project Alpha.
As we know that
NPV=Sum of Net Cash Flows from each future year – Initial investment
In the preset question we have 4 years cash flows so we will calculate one by one as…
PV (CF1) = = = 53,428.317
PV (CF2) = =80,000/ (1.123^2) = 63,435.224
PV (CF2) = = 75,000/ (1.123^3) = 52,956.832
PV (CF2) = = 60,000/ (1.123^4) = 37,725.259
TOTAL CASH FLOWS = 2, 07,545.632 Now,
NPV=Sum of Net Cash Flows from each future year – Initial investment
NPV= 2, 07,545.632 – 200,000
NPV= 7545.632 or 7546 in positive
Present value of Project Beta.
PV (CF1) = = = 48,975.957
PV (CF2) = =65,000/ (1.123^2) = 51,541.119
PV (CF2) = = 70,000/ (1.123^3) = 49,426.376
PV (CF2) = = 80,000/ (1.123^4) = 50,300.345
TOTAL CASH FLOWS = 200,243.797 Now,
NPV=Sum of Net Cash Flows from each future year – Initial investment
NPV= 200243.797 – 200,000
NPV= 243.797 or 244 in positive
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