Annuity Present Value Inputs Payment $80 Discount Rate/Period 6% Number of Periods 5 Present Value using a Time Line Period 1 2 4 Cash Flows 80 80 80 80 80 Present Value of Each Cash Flow 75.4717 71.19972 67.16954 63.36749 59.78065 Present Value Annuity Present Value using the Formula Present Value Annuity Present Value using the PV Function Present Value

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
Section: Chapter Questions
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# Annuity: Present Value

## Inputs
- **Payment**: $80
- **Discount Rate/Period**: 6%
- **Number of Periods**: 5

## Present Value using a Time Line

| Period | Cash Flows | Present Value of Each Cash Flow |
|--------|------------|---------------------------------|
| 0      | 0          | 0                               |
| 1      | 80         | 75.4717                         |
| 2      | 80         | 71.19972                        |
| 3      | 80         | 67.16954                        |
| 4      | 80         | 63.36749                        |
| 5      | 80         | 59.78065                        |

- **Present Value**: [Calculated value in yellow cell]

## Annuity Present Value using the Formula
- **Present Value**: [Calculated value in yellow cell]

## Annuity Present Value using the PV Function
- **Present Value**: [Calculated value in yellow cell] 

### Explanation:
This table calculates the present value of an annuity. It includes input factors such as the payment amount, discount rate, and number of periods. The present value for each cash flow is calculated for each time period. The final results using different calculation methods are highlighted in yellow cells.
Transcribed Image Text:# Annuity: Present Value ## Inputs - **Payment**: $80 - **Discount Rate/Period**: 6% - **Number of Periods**: 5 ## Present Value using a Time Line | Period | Cash Flows | Present Value of Each Cash Flow | |--------|------------|---------------------------------| | 0 | 0 | 0 | | 1 | 80 | 75.4717 | | 2 | 80 | 71.19972 | | 3 | 80 | 67.16954 | | 4 | 80 | 63.36749 | | 5 | 80 | 59.78065 | - **Present Value**: [Calculated value in yellow cell] ## Annuity Present Value using the Formula - **Present Value**: [Calculated value in yellow cell] ## Annuity Present Value using the PV Function - **Present Value**: [Calculated value in yellow cell] ### Explanation: This table calculates the present value of an annuity. It includes input factors such as the payment amount, discount rate, and number of periods. The present value for each cash flow is calculated for each time period. The final results using different calculation methods are highlighted in yellow cells.
2. An annuity pays $80.00 each period for 5 periods. For these cash flows, the appropriate discount rate/period is 6.0%. What is the present value of this annuity? Use worksheet “Annuity-PV”.
Transcribed Image Text:2. An annuity pays $80.00 each period for 5 periods. For these cash flows, the appropriate discount rate/period is 6.0%. What is the present value of this annuity? Use worksheet “Annuity-PV”.
Expert Solution
Step 1

Present value of annuity is the present value of all the streams of the cash flow that occurs in the future.

 

Present value of annuity can be calculated using the formula as follows:

 

Present value of annuity = annuity ×1-11+rateno of periodsrate

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