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In finance, a perpetuity is a stream of cash flows that continues forever. It is a financial concept that is used to estimate the present value of long-term cash flows and value businesses or financial assets that are expected to generate cash flows indefinitely.

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The formula for calculating the present value of a perpetuity is:

Present Value (PV) = Cash Flow (CF) / Interest Rate (IR)


CF is the cash flow per period

IR is the interest rate

For example, if a perpetuity pays $100 per year and the interest rate is 5%, the present value of the perpetuity would be $2,000.

Perpetuities are often used to value assets that are expected to generate cash flows indefinitely, such as government bonds and real estate. They can also be used to value businesses that are expected to generate profits indefinitely.

Perpetuities are considered to be very safe investments because they provide a guaranteed stream of income. However, they also have the potential to generate low returns, especially if the interest rate is low.

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