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in the context of bonds / fixed income an annuity is a payment which is made at regular time intervals - a cupon. A continuous one is simply being paid for an unlimited amount of time. PV = Cupon/ (1+r)^1 + ...... Cupon/ (1+r)^t just to add to Bob's comment above, a "continuously compounding" annuity is re-invested at the same rate every month on top of ...

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