3. Compound interest and its effects Understanding the Impact of Compounding There are many reasons why people don't save: "I don't have any extra money." "I promise to start next year." "I have $100... what will that do?" "I'd rather pay extra on my bills and get those taken care of first." Many people who did establish a retirement plan have found that, years into their plan, they made three mistakes: • They started too late. . They put away too little. • They invested too conservatively. And these pitfalls are magnified when you consider compound interest. Consider the compound interest effect in the following two scenarios. (Note: In your calculations, use either the formula or the financial calculator. Round your answers to the nearest cent.) Clancy, age 25, is starting his savings plan this year by putting away $2,025.00 at the end of every year until he reaches age 65. He will deposit this money at his local savings and loan at an interest rate of 6%. The compounding factor is 79.060.

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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# 3. Compound Interest and Its Effects

## Understanding the Impact of Compounding

There are many reasons why people don’t save: “I don’t have any extra money.” “I promise to start next year.” “I have $100 . . . what will that do?” “I’d rather pay extra on my bills and get those taken care of first.” Many people who did establish a retirement plan have found that, years into their plan, they made three mistakes:

- They started too late.
- They put away too little.
- They invested too conservatively.

And these pitfalls are magnified when you consider compound interest.

### Consider the compound interest effect in the following two scenarios. (Note: In your calculations, use either the formula or the financial calculator. Round your answers to the nearest cent.)

Clancy, age 25, is starting his savings plan this year by putting away $2,025.00 at the end of every year until he reaches age 65. He will deposit this money at his local savings and loan at an interest rate of 6%.

The compounding factor is 79.060.
Transcribed Image Text:# 3. Compound Interest and Its Effects ## Understanding the Impact of Compounding There are many reasons why people don’t save: “I don’t have any extra money.” “I promise to start next year.” “I have $100 . . . what will that do?” “I’d rather pay extra on my bills and get those taken care of first.” Many people who did establish a retirement plan have found that, years into their plan, they made three mistakes: - They started too late. - They put away too little. - They invested too conservatively. And these pitfalls are magnified when you consider compound interest. ### Consider the compound interest effect in the following two scenarios. (Note: In your calculations, use either the formula or the financial calculator. Round your answers to the nearest cent.) Clancy, age 25, is starting his savings plan this year by putting away $2,025.00 at the end of every year until he reaches age 65. He will deposit this money at his local savings and loan at an interest rate of 6%. The compounding factor is 79.060.
**Clancy's Savings Plan:**

Clancy, age 25, is starting his savings plan this year by putting away $2,025.00 at the end of every year until he reaches age 65. He will deposit this money at his local savings and loan at an interest rate of 6%.

- The compounding factor is 79.060.

_Based on the information provided, by the time Clancy turns 65, he will have [blank space]._

---

**Eileen's Savings Plan:**

Eileen, age 30, is starting her savings plan this year by putting away $2,025.00 at the end of every year until she reaches age 65. She will deposit this money at her local savings and loan at an interest rate of 6%.

- The compounding factor is 54.860.

_Based on the information provided, by the time Eileen turns 65, she will have [blank space]._

---

**Comparison:**

Clancy started his investment program five years earlier than Eileen and invested a total of $ [blank space] during those extra years. By the time Clancy turns 65, he will have accumulated $ [blank space] more than Eileen.
Transcribed Image Text:**Clancy's Savings Plan:** Clancy, age 25, is starting his savings plan this year by putting away $2,025.00 at the end of every year until he reaches age 65. He will deposit this money at his local savings and loan at an interest rate of 6%. - The compounding factor is 79.060. _Based on the information provided, by the time Clancy turns 65, he will have [blank space]._ --- **Eileen's Savings Plan:** Eileen, age 30, is starting her savings plan this year by putting away $2,025.00 at the end of every year until she reaches age 65. She will deposit this money at her local savings and loan at an interest rate of 6%. - The compounding factor is 54.860. _Based on the information provided, by the time Eileen turns 65, she will have [blank space]._ --- **Comparison:** Clancy started his investment program five years earlier than Eileen and invested a total of $ [blank space] during those extra years. By the time Clancy turns 65, he will have accumulated $ [blank space] more than Eileen.
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