Number of Annual Payments or Years Interest Rate Present Value Annuity Future Value 6. 10% $183.67 19 15% $1,423.38 $626.79 25 2% 0. 300 0.7% $482.05 Drint Dono

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
Problem 1PS
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What is the future value?
### Data Table Overview

The table presents financial data related to annuities with variables such as interest rates and payment periods.

- **Columns:**
  1. **Number of Payments or Years**: Represents the total number of payments or the time period in years.
  2. **Annual Interest Rate**: The yearly interest rate expressed as a percentage.
  3. **Present Value**: The current value of the annuity, here noted as zero for all entries.
  4. **Annuity**: The regular payment amount.
  5. **Future Value**: The value of the annuity in the future, indicated as unknown (?). Each of these values needs to be calculated.

- **Rows:**
  1. **Row 1**: 6 payments at an interest rate of 10%, with an annuity of $183.67.
  2. **Row 2**: 19 payments at an interest rate of 15%, with an annuity of $1,423.38.
  3. **Row 3**: 25 payments at an interest rate of 2%, with an annuity of $626.79.
  4. **Row 4**: 300 payments at an interest rate of 0.7%, with an annuity of $482.05.

Each row indicates that the future value needs to be calculated, based on the given annuity, interest rate, and number of payments or years.
Transcribed Image Text:### Data Table Overview The table presents financial data related to annuities with variables such as interest rates and payment periods. - **Columns:** 1. **Number of Payments or Years**: Represents the total number of payments or the time period in years. 2. **Annual Interest Rate**: The yearly interest rate expressed as a percentage. 3. **Present Value**: The current value of the annuity, here noted as zero for all entries. 4. **Annuity**: The regular payment amount. 5. **Future Value**: The value of the annuity in the future, indicated as unknown (?). Each of these values needs to be calculated. - **Rows:** 1. **Row 1**: 6 payments at an interest rate of 10%, with an annuity of $183.67. 2. **Row 2**: 19 payments at an interest rate of 15%, with an annuity of $1,423.38. 3. **Row 3**: 25 payments at an interest rate of 2%, with an annuity of $626.79. 4. **Row 4**: 300 payments at an interest rate of 0.7%, with an annuity of $482.05. Each row indicates that the future value needs to be calculated, based on the given annuity, interest rate, and number of payments or years.
Expert Solution
Step 1

An annuity is a contract between you and an insurance company in which you make a lump-sum payment or series of payments and, in return, receive regular disbursements, beginning either immediately or at some point in the future.

FVA=A×1+RN-1R

Where,

FVA= future value of annuity

A=annuity

R = rate

n = no of years

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