You want to establish an annuity that will pay you $14,000 per year for 22 years. If the prevailing rate in the economy is 3.75%, how much must you deposit today to establish this annuity. $173,669.70 $207,237.61 $238,429.37 $215,000.02

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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**Problem: Annuity Calculation**

You want to establish an annuity that will pay you $14,000 per year for 22 years. If the prevailing rate in the economy is 3.75%, how much must you deposit today to establish this annuity?

**Options:**

- $173,669.70
- $207,237.61
- $238,429.37
- $215,000.02

**Explanation:**

This problem involves calculating the present value of an annuity. The present value of an annuity formula can be used to determine how much you need to invest today to receive a series of future payments. Given:

- Annual payment (PMT) = $14,000
- Number of years (n) = 22
- Interest rate (i) = 3.75%

You need to calculate the present value using the formula:

\[ PV = PMT \times \left(1 - (1 + i)^{-n}\right) \div i \] 

The answer will be one of the provided options.
Transcribed Image Text:**Problem: Annuity Calculation** You want to establish an annuity that will pay you $14,000 per year for 22 years. If the prevailing rate in the economy is 3.75%, how much must you deposit today to establish this annuity? **Options:** - $173,669.70 - $207,237.61 - $238,429.37 - $215,000.02 **Explanation:** This problem involves calculating the present value of an annuity. The present value of an annuity formula can be used to determine how much you need to invest today to receive a series of future payments. Given: - Annual payment (PMT) = $14,000 - Number of years (n) = 22 - Interest rate (i) = 3.75% You need to calculate the present value using the formula: \[ PV = PMT \times \left(1 - (1 + i)^{-n}\right) \div i \] The answer will be one of the provided options.
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