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A trust fund is being set up with a single payment of P . This amount is to be invested at a fixed annual interest

A trust fund is being set up with a single payment of P. This amount is to be invested at a fixed annual interest rate of
r. The fund pays out a fixed annual amount. The first payment is to be made one year after the trust fund was set up.
What is the largest amount which can be paid out each year if the fund is to last for ever?
Find the present and future values of a constant income stream of $2,000 per year over the next 10 years, assuming
an interest rate of r=4% annually, compounded continuously.
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