Find the future value for each of the following scenarios, where m is the periodic deposit and r is the interest rate. m $150 4.3% compounding time in frequency years $475 3.3% annually $125 7.4% semiannually quarterly 8 6 7 future value $ $ $ + interest earned $ JUT $ $

Corporate Fin Focused Approach
5th Edition
ISBN:9781285660516
Author:EHRHARDT
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Chapter4: Time Value Of Money
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# Future Value Calculation Scenarios

The table below outlines several scenarios to calculate the future value of periodic deposits given different compounding frequencies and interest rates. The following variables are used:

- **m**: Periodic Deposit
- **r**: Interest Rate

| m    | r    | Compounding Frequency | Time in Years | Future Value ($) | Interest Earned ($) |
|------|------|-------------------------|---------------|------------------|---------------------|
| $150 | 4.3% | Annually                | 8             |                  |                     |
| $125 | 7.4% | Semiannually            | 6             |                  |                     |
| $475 | 3.3% | Quarterly               | 7             |                  |                     |
| $500 | 3.7% | Monthly                 | 10            |                  |                     |
| $225 | 6.1% | Weekly                  | 8             |                  |                     |

To determine the future value and interest earned for each scenario, use the formula for compound interest along with the periodic deposit schedule specific to each compounding frequency.
Transcribed Image Text:# Future Value Calculation Scenarios The table below outlines several scenarios to calculate the future value of periodic deposits given different compounding frequencies and interest rates. The following variables are used: - **m**: Periodic Deposit - **r**: Interest Rate | m | r | Compounding Frequency | Time in Years | Future Value ($) | Interest Earned ($) | |------|------|-------------------------|---------------|------------------|---------------------| | $150 | 4.3% | Annually | 8 | | | | $125 | 7.4% | Semiannually | 6 | | | | $475 | 3.3% | Quarterly | 7 | | | | $500 | 3.7% | Monthly | 10 | | | | $225 | 6.1% | Weekly | 8 | | | To determine the future value and interest earned for each scenario, use the formula for compound interest along with the periodic deposit schedule specific to each compounding frequency.
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