Principles of Finance · free preview

Annuities, Equal Payments for a Fixed Term

An annuity is a level stream of payments for a fixed number of periods, its present value discounts each payment and sums them, annuities due pay one period earlier and are worth one period's interest more, and the machinery prices retirement withdrawals, structured settlements, and loan payments.

1. Defining the ordinary annuity

Defining the ordinary annuity

2. A retirement withdrawal example

A retirement withdrawal example

3. Annuity due, one period earlier

Annuity due, one period earlier

4. Future value and payments

Future value and payments

5. The annuity defined

Which description correctly defines an ordinary annuity?

6. Reading the annuity factor

At 8 percent for five years, the ordinary annuity present value factor is about 3.9927. What does that number mean?

7. Sizing the retirement fund

You plan to withdraw 25,000 dollars at each year end for five years, earning 8 percent. Approximately what fund balance today exactly funds the plan?

8. Converting to annuity due

The same five withdrawals of 25,000 dollars at 8 percent, but the first withdrawal is immediate. How does the required fund change?

9. Finding the loan payment

A 200,000 dollar mortgage at 6 percent annual, compounded monthly, runs thirty years. With an annuity factor near 166.79, what is the monthly payment?

10. When each convention applies

Which situation is naturally an annuity due rather than an ordinary annuity?

11. The adjustment factor

To convert an ordinary annuity value to an annuity due, multiply by one plus what per-period quantity? Answer with one letter.

12. The payment-finding register

What three-letter calculator register holds the periodic payment computed in annuity problems? Write the letters.

13. The level stream's name

What one-word term names a level stream of payments for a fixed number of periods? Answer in lowercase.

14. The fund-exhaustion principle

A fund sized as the annuity present value of planned withdrawals will have exactly what balance after the final withdrawal? Write the number.

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