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With an interest rate of i = 10%, and n = 10 years, the CRF = 0.163. This means that a loan of $1,000 at 10% interest will be paid back with 10 annual payments of $163. [2] Another reading that can be obtained is that the net present value of 10 annual payments of $163 at 10% discount rate is $1,000. [2]
Therefore, the future value of your annuity due with $1,000 annual payments at a 5 percent interest rate for five years would be about $5,801.91.
The actuarial present value (APV) is the expected value of the present value of a contingent cash flow stream (i.e. a series of payments which may or may not be made). Actuarial present values are typically calculated for the benefit-payment or series of payments associated with life insurance and life annuities .
The present value of an annuity is the value of a stream of payments, discounted by the interest rate to account for the fact that payments are being made at various moments in the future. The present value is given in actuarial notation by:
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Single-premium immediate annuity (SPIA): SPIAs are the most common type of income annuity. You pay a lump sum upfront, and the annuity company starts making payments to you shortly after that ...