question archive There is a firm with two investment projects Project A and B with an initial expenditure of 20,000 USD
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There is a firm with two investment projects Project A and B with an initial expenditure of 20,000 USD. Assuming that the projects have two years. Table bellow represents the net revenues. And the discount rate is 10%. Under these circumstances what would be the firm's decision? A B First year Second year 11,500 13,500 9,000 16,000
Net present value i.e. NPV can be calculated to make a decision as to which project should be accepted.
NPV of project A:
Initial expenditure = 20000 USD
discount rate= 10%
Present value of future cash inflows:
= Cash flow 1 x interest rate discount factor for year 1 + cashlfow 2 x interest rate discount factor for year 2
= 11500 x 0.9091 +13500 x 0.8264
= 21611.05 USD
NPV = present value of future cash inflows- initial expenditure
= 21611.05 -20000
= 1611.05 USD
NPV of project B:
Initial expenditure = 20000 USD
discount rate= 10%
Present value of future cash inflows:
= Cash flow 1 x interest rate discount factor for year 1 + cashlfow 2 x interest rate discount factor for year 2
=9000 x 0.9091 +16000 x 0.8264
= 21404.30 USD
NPV = present value of future cash inflows- initial expenditure
= 21404.30-20000
= 1404.30 USD
Net present value of project A i.e. 1611.05 USD is greater than project B i.e. 1404.30 USD. If company needs to select one project then company should accept project A having greater NPV.