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MN12150 Corporate Finance for Managers

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After retirement, you expect to live for 25 years using your retirement account to support your expenses. Suppose that the expected expenditure for the next year is $75,000 and will be increased annually by an inflation rate of 3%. How much should you have saved in your retirement account to satisfy your expenditure need if the discount rate is 9% per year?

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If the present value of $1.00 received n years from today is $0.621, then what is the future value of $1.00 invested today at the same interest rate for n years? 

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If the future value of $1 invested today at an interest rate of r% for n years is 9.6463, what is the present value of $1 to be received in n years at r% interest rate? 

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An art gallery plans to set up an endowment fund today by making a one-off payment into the fund. The objective of the fund is to support the gallery's running cost in perpetuity, estimated at £9 million for the upcoming year and will be increasing at 1.75% annually. Given an annual discount rate of 6.25%, what is the minimum one-off payment that must be made to the fund in order to support the gallery's running costs?

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What is the present value of the following sequence of annual cash flows discounted at 16%?

CF1 = -100,000

CF2 = 300,000

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A perpetuity is defined as a sequence of

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If you are paid $1,000 at the end of each year for the next five years, what type of cash flow did you receive?

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A university trust fund is valued at £50 million today. Suppose that no further deposit will be made into the fund and the investment return of the fund is 6.25%. Will the fund have enough balance to support the university's annual expenditure of £4 million perpetually?

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What is the present value of a $1,000 per year annuity for five years at an interest rate of 12%? 

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If the present value of a four-year annuity of £1 is £3.04, and the present value of £1 five years from now is 0.57. What is the present value of a five-year annuity of £1?

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