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Megatron Ltd is planning on setting up a nursery for pre-school children. They estimate that

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Question 1
Megatron Ltd is planning on setting up a nursery for pre-school children. They estimate that:
 The required investment will be £0.5m and the investment’s life is expected to be 10 years. The investment is to be depreciated using the straight line depreciation method and none of the costs are expected to be recovered at the end of the 10 years.
 Total revenues from nursery fees are expected to be £182,000 in year one, growing at 2.5% per annum.
 Staffing costs are £90,000 per year.
 Administrative, advertising and general expenses associated with the nursery are expected to be £20,000 per year.
 All costs are expected to increase at 2.5% per annum.
 The discount rate for ventures of similar risk is 12.5%.
 Megatron Ltd faces a corporate tax rate of 26%.
a) Calculate the NPV of this project and determine whether it should be accepted or rejected.
b) Calculate the IRR of this project.
c) Build different scenarios based on more or less optimistic forecasts of variables relevant to the project and re-consider the advice given in part a).
Question 2

“Not another one!” groaned George Luger.This was the third memo that he had received that morning fromthe CEO of VCR Importers. It read as follows:
From: CEO’s Office
To: Company Treasurer
George,
I have been looking at some of our foreign exchange deals and they don’t seem to make sense.
First, we have been buying yen forward to cover the cost of our imports.You have explained that this insures us against therisk that the dollar may depreciate over the next year, but it is incredibly expensive insurance. Each dollar buys only 101.3 yen whenwe buy forward, compared with the current spot rate of 107.52 yen to the dollar. We could save a fortune by buying yen as andwhen we need them rather than buying them forward.
Another possibility has occurred to me. If we are worried that the dollar may depreciate (or do I mean “appreciate”?), whydon’t we buy yen at the low spot rate of ¥107.52 to the dollar and then put them on deposit until we have to pay for the VCRs? Thatway we can make sure that we get a good rate for our yen.
I am also worried that we are missing out on some cheap financing. We are paying about 8 percent to borrow dollars for oneyear, but Ben Hur was telling me at lunch that we could get a one-year yen loan for about 1.75 percent. I find that a bit surprising,but if that’s the case, why don’t we repay our dollar loans and borrow yen instead?
Perhaps we could discuss these ideas at next Wednesday’s meeting. I would be interested in your views on the matter.
Jill Edison
How should George respond to Jill’s memo with respect to the following issues?(Hint: Incorporate detailed calculations / working in support of your answers)
a) Is the forward purchase of the Yen “incredibly expensive insurance”?
b) Would the company be better if it purchased Yen and “then put them on deposit”?
c) Should the company “repay its dollar loans and borrow yen instead”?
Question 3
Discuss and show graphically how the introduction of a risk free asset in portfolio theory allows us to identify the optimal portfolio of an investor. How is the efficient set defined in the case of a portfolio containing risky assets and positive or negative amounts of the risk free rate? Your analysis and discussion should be supported with appropriate examples and references from the literature.Guidelines:
Please read all questions and information provided carefully. Answer should be made in appropriate length keeping in view the requirement of each question and total word counts allowed.