# Find the present value of the following ordinary annuities see the notes to problem 4 12

From your perspective, the periodic amounts represent deposits, as in, you can deposit the amounts into an interest earning account as you receive them. From my perspective, the periodic amounts represent payments, as in, I must remove the amounts from an interest earning account in order to pay them to you. This explains why annuity amounts cash flows can be referred to as deposits and payments at the same time. What is Future Value of An Annuity? Then figure out what interest rate applies for cash discounted from that date column Band the cash flow on that date column D. Then the discount factor in continuous time is exp -rt column C. The discounted cash flow is the product of the discount factor and the cash flow column E ; then the sum of the discounted cash flows is the present discounted value.

Changing Interest Rates over Time If the interest rate changes over the period, then we have to account for the changing interest rates. How do we do this? We have to distinguish between two types of interest rates: The zero rate can be thought of as the average of all of the forward rates.

If we graph the evolution of the interest rate then we might have a graph like this: The zero rate for the first-and-second quarters is 3. If we are interpolating rates over different periods then we need to worry about weighted averages.

Suppose that we have one forward rate going from T1 to T2, which we call RF. The zero rate over T1 is R1. To find the zero rate over T2, just take the weighted average, so that.Solve the problem.

20)Which of the following investments is larger after 10 years? A)An initial amount of \$10, is deposited with \$ deposited monthly, with interest earned at 5% Find the present value of the ordinary annuity.

## Actuarial Science Study Note - Life Annuity Essay Example | Graduateway

34)Payments of \$90, made semiannually for 12 years at 12% compounded semiannually 24 7 0 22 33 24 19 4. = PV.0, 5,,0,1) = \$2, () Uneven Cash Flow Stream Find the present values of the following cash flow streams.

The appropriate interest rate is 8%. The appropriate interest rate is 8%. (Hint: It is fairly easy to work this problem dealing with the individual cash flows%(). May 09,  · If two annuities have the same number of rents with the same dollar amount, but one is an annuity due and one is an ordinary annuity, the present value of the annuity due will be greater than the present value of the ordinary annuity.

c. The present value of \$ due in 1 year at a discount rate of 6% d. The present value of \$ due in 2 years at a discount rate of 6% (4–12) Future Value of an Annuity Find the future value of the following annuities.

The first payment in these annuities is made at the end of Year 1, so they are ordinary annuities. (Notes: See the Hint to Problem The parts in these volumes are arranged in the following order: Parts 1—, and part to end. The contents of these volumes represent all current regulations codified .

The future value of an ordinary annuity assumes that the payments are received A) at the beginning of the year and the last payment does not compound. B) at .

Annuities -- Page Three (Quiz)