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?

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? 

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? 

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?

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

CF₁ = -100,000

CF₂ = 300,000

A perpetuity is defined as a sequence of

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?

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?

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

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?