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John, thefinancial managerof Zenith Ltd, has submitted a proposal for manufacturing a new product, known as Blue. The initial investment for the new project can

John, the financial manager of Zenith Ltd, has submitted a proposal for manufacturing a new product, known as Blue. The initial investment for the new project can be estimated at Rs 50,000,000 with certainty.Moreover, the cash inflows for the first three years would have the following distributions:

Year 1Year 2Year 3 
Cash Flow (Rs)ProbabilityCash Flow (Rs)ProbabilityCash Flow (Rs)Probability
15,000,0000.420,000,0000.425,000,0000.3
20,000,0000.325,000,0000.430,000,0000.5
30,000,0000.330,000,0000.240,000,0000.2

Only two figures that is the expected net present value and the probability that the net present value would be less than Zero, want to be known by John. He seeks your help in calculating the figures using a discount rate of 10 %.

REQUIRED:
(a) Calculate the Expected Net Present Value and the Standard Deviation of the Net Present Value using the Hillier Model.
(b) Calculate probability that the net present value would be less than Zero.

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