BTN 13-6 You are to devise an investment strategy to enable you to accumulate $1,000,000 by age 65. Start by making some assumptions about your salary. Next, compute the percent of your salary that you will be able to save each year. If you will receive any lump-sum monies, include those amounts in your calculations. Historically, stocks have delivered average annual returns of around 10%. Given this history, you probably should not assume that you will earn above 10% on the money you invest. It is not necessary to specify exactly what types of assets you will buy for your investments; just assume a rate you expect to earn. Use the future value tables in eAppendix B to calculate how your savings will grow. Experiment a bit with your figures to see how much less you have to save if you start at, for example, age 25 versus age 35 or 40. (For this assignment, do not include inflation in your calculations.)

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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Question on attachement BTN 13-6

**HITTING THE ROAD**

**BTN 13-6** You are to devise an investment strategy to enable you to accumulate $1,000,000 by age 65. Start by making some assumptions about your salary. Next, compute the percent of your salary that you will be able to save each year. If you will receive any lump-sum monies, include those amounts in your calculations. Historically, stocks have delivered average annual returns of around 10%. Given this history, you probably should not assume that you will earn above 10% on the money you invest. It is not necessary to specify exactly what types of assets you will buy for your investments; just assume a rate you expect to earn. Use the future value tables in **Appendix B** to calculate how your savings will grow. Experiment a bit with your figures to see how much less you have to save if you start at, for example, age 25 versus age 35 or 40. (For this assignment, do not include inflation in your calculations.)
Transcribed Image Text:**HITTING THE ROAD** **BTN 13-6** You are to devise an investment strategy to enable you to accumulate $1,000,000 by age 65. Start by making some assumptions about your salary. Next, compute the percent of your salary that you will be able to save each year. If you will receive any lump-sum monies, include those amounts in your calculations. Historically, stocks have delivered average annual returns of around 10%. Given this history, you probably should not assume that you will earn above 10% on the money you invest. It is not necessary to specify exactly what types of assets you will buy for your investments; just assume a rate you expect to earn. Use the future value tables in **Appendix B** to calculate how your savings will grow. Experiment a bit with your figures to see how much less you have to save if you start at, for example, age 25 versus age 35 or 40. (For this assignment, do not include inflation in your calculations.)
**Title: Future Value Computation Table**

**Mathematical Formula:**

The table uses the formula for future value:
\[ f = (1 + i)^n \]

**Table Header:**

- **Columns:**
  - Periods
  - Rate: Columns are divided into different interest rates ranging from 1% to 15%.

**Table Content:**

Each cell within the table contains the future value factor for a specific interest rate and number of periods. The value is computed using the formula \( f = (1 + i)^n \) where \( i \) is the interest rate in decimal form and \( n \) is the number of periods.

**Description of Values:**

- Each row represents a different period, starting from 0 up to 40.
- Each column represents a different interest rate, starting from 1% up to 15%.

**Detailed Example:**

- To find the accumulated value of $3,000 at an 8% interest rate compounded quarterly over 20 years:
  - Locate the intersection of the 20th period and 2% rate (because quarterly compounding means \( \frac{8\%}{4} = 2\% \)).
  - The factor from the table is 1.4859.
  - Multiply the principal by this factor: $3,000 × 1.4859 = $4,457.70.

This table helps in determining the future value of a known present amount, illustrating how different interest rates and compounding periods affect the future value.
Transcribed Image Text:**Title: Future Value Computation Table** **Mathematical Formula:** The table uses the formula for future value: \[ f = (1 + i)^n \] **Table Header:** - **Columns:** - Periods - Rate: Columns are divided into different interest rates ranging from 1% to 15%. **Table Content:** Each cell within the table contains the future value factor for a specific interest rate and number of periods. The value is computed using the formula \( f = (1 + i)^n \) where \( i \) is the interest rate in decimal form and \( n \) is the number of periods. **Description of Values:** - Each row represents a different period, starting from 0 up to 40. - Each column represents a different interest rate, starting from 1% up to 15%. **Detailed Example:** - To find the accumulated value of $3,000 at an 8% interest rate compounded quarterly over 20 years: - Locate the intersection of the 20th period and 2% rate (because quarterly compounding means \( \frac{8\%}{4} = 2\% \)). - The factor from the table is 1.4859. - Multiply the principal by this factor: $3,000 × 1.4859 = $4,457.70. This table helps in determining the future value of a known present amount, illustrating how different interest rates and compounding periods affect the future value.
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