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Investment appraisal

TTan5y ago
Hi this question i totally can’t figure it out.... A project has the following projected cash inflows. Year 1 100,000 Year 2 125000 Year 3 105000 Working capital is required to be in the place at the start of each year equal to 10% of the cash inflow for that year. The cost of capital is 10%. What is the present value of the working capital?
John MoffatJohn MoffatTutor5y ago#1
There is an outflow at time 0 of 10% x 100,000 = $10,000 At time 1 we need the working capital to be 10% x 125,000 = $12,500. However there is already 10,000 so we need an extra outflow at time 1 of $2,500. At time 2 we need the working capital to be 10% x 105,000 = $10,500, However there is already 12,500 so there is an inflow at time 2 of the difference of $2,000. At the end of the project the working capital is, as normal, recovered and there is therefore an inflow at time 3 of 10,500.
TTan5y ago#2
Thank you sir, but the answer provided by the book is $(2735). Is it because we need to discounted it by discount factor?
John MoffatJohn MoffatTutor5y ago#3
Yes. I have explained to you the cash flows, but given that the question asks for the present value of the flows then I am assuming that you can do the easy bit of discounting :-)
TTan5y ago#4
Thanksss sir!!!! I’ve got it.
John MoffatJohn MoffatTutor5y ago#5
You are welcome :-)
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