Comparing Investment Returns

Oct 13, 2025 by sorusgentrification.com 59 views

Introduction

When it comes to investing, understanding the returns on investment (ROI) is crucial in making informed decisions. In this article, we will compare the investment returns of two individuals, Tasha and Thomas, who have invested different amounts at varying interest rates. We will analyze their investment portfolios and determine which statement accurately compares their returns.

Tasha's Investment Portfolio

Tasha has invested a total of $\$10,000$ in two separate accounts. The first account has a principal amount of $\$5,000$ and an annual interest rate of $6\%$ . The second account has a principal amount of $\$5,000$ and an annual interest rate of $8\%$ . To calculate the total return on investment for Tasha, we need to calculate the interest earned on each account and add them together.

Calculating Interest Earned on Each Account

To calculate the interest earned on each account, we can use the formula:

Interest = Principal x Rate x Time

Since the time period is not specified, we will assume that the interest is compounded annually for a period of 1 year.

For the first account with a principal amount of $\$5,000$ and an annual interest rate of $6\%$ , the interest earned is:

Interest = $\$5,000$ x $0.06$ x $1$ = $\$300$

For the second account with a principal amount of $\$5,000$ and an annual interest rate of $8\%$ , the interest earned is:

Interest = $\$5,000$ x $0.08$ x $1$ = $\$400$

Total Return on Investment for Tasha

To calculate the total return on investment for Tasha, we add the interest earned on each account:

Total Return = $\$300$ + $\$400$ = $\$700$

Total Amount Invested by Tasha

The total amount invested by Tasha is the sum of the principal amounts in both accounts:

Total Amount Invested = $\$5,000$ + $\$5,000$ = $\$10,000$

Return on Investment (ROI) for Tasha

To calculate the ROI for Tasha, we divide the total return on investment by the total amount invested:

ROI = $\$700$ / $\$10,000$ = $0.07$ or $7\%$

Thomas's Investment Portfolio

Thomas has invested a total of $\$10,000$ at an annual interest rate of $7\%$ . To calculate the return on investment for Thomas, we can use the formula:

Interest = Principal x Rate x Time

Since the time period is not specified, we will assume that the interest is compounded annually for a period of 1 year.

Interest = $\$10,000$ x $0.07$ x $1$ = $\$700$

Total Return on Investment for Thomas

The total return on investment for Thomas is the interest earned:

Total Return = $\$700$

Total Amount Invested by Thomas

The total amount invested by Thomas is the principal amount:

Total Amount Invested = $\$10,000$

Return on Investment (ROI) for Thomas

To calculate the ROI for Thomas, we divide the total return on investment by the total amount invested:

ROI = $\$700$ / $\$10,000$ = $0.07$ or $7\%$

Comparing Investment Returns

Now that we have calculated the ROI for both Tasha and Thomas, we can compare their investment returns. The statement that accurately compares their returns is:

Tasha's ROI is lower than Thomas's ROI.

This is because Tasha's total return on investment is $\$700$ , which is lower than Thomas's total return on investment of $\$700$ . However, when we calculate the ROI, we get the same result for both Tasha and Thomas, which is $0.07$ or $7\%$ . This is because the total return on investment is the same for both, but the total amount invested is different.

Conclusion

In conclusion, when comparing the investment returns of Tasha and Thomas, we need to consider the total return on investment and the total amount invested. While Tasha's total return on investment is lower than Thomas's, their ROI is the same. This highlights the importance of understanding the ROI and not just focusing on the total return on investment when comparing investment returns.

Recommendations

Based on the analysis, we can make the following recommendations:

Tasha should consider investing in a single account with a higher interest rate to maximize her returns.
Thomas should consider diversifying his investment portfolio to minimize risk and maximize returns.

By following these recommendations, Tasha and Thomas can optimize their investment portfolios and achieve their financial goals.

Frequently Asked Questions

Q: What is the return on investment (ROI) for Tasha?

A: The ROI for Tasha is $0.07$ or $7\%$ .

Q: What is the return on investment (ROI) for Thomas?

A: The ROI for Thomas is $0.07$ or $7\%$ .

Q: Which statement accurately compares Tasha's and Thomas's investment returns?

A: Tasha's ROI is lower than Thomas's ROI.

Q: Why is Tasha's ROI lower than Thomas's ROI?

A: Tasha's total return on investment is lower than Thomas's, but their ROI is the same because the total return on investment is the same for both, but the total amount invested is different.

Q: What are the recommendations for Tasha and Thomas?

Q: What is the difference between Tasha's and Thomas's investment portfolios?

A: Tasha has invested a total of $\$10,000$ in two separate accounts, one with a principal amount of $\$5,000$ and an annual interest rate of $6\%$ , and the other with a principal amount of $\$5,000$ and an annual interest rate of $8\%$ . Thomas has invested a total of $\$10,000$ at an annual interest rate of $7\%$ .

Q: How do you calculate the return on investment (ROI) for Tasha and Thomas?

A: To calculate the ROI, we divide the total return on investment by the total amount invested. For Tasha, the total return on investment is $\$700$ , and the total amount invested is $\$10,000$ . For Thomas, the total return on investment is also $\$700$ , and the total amount invested is also $\$10,000$ . Therefore, the ROI for both Tasha and Thomas is $0.07$ or $7\%$ .

Q: Why is Tasha's ROI the same as Thomas's ROI despite having a lower total return on investment?

A: This is because the total return on investment is the same for both Tasha and Thomas, but the total amount invested is different. When we divide the total return on investment by the total amount invested, we get the same result for both, which is $0.07$ or $7\%$ .

Q: What are the implications of Tasha's and Thomas's investment returns?

A: Tasha's investment returns are lower than Thomas's, but their ROI is the same. This highlights the importance of understanding the ROI and not just focusing on the total return on investment when comparing investment returns.

Q: What are the recommendations for Tasha and Thomas based on their investment returns?

A: Tasha should consider investing in a single account with a higher interest rate to maximize her returns. Thomas should consider diversifying his investment portfolio to minimize risk and maximize returns.

Q: How can Tasha and Thomas optimize their investment portfolios?

A: Tasha can consider investing in a single account with a higher interest rate to maximize her returns. Thomas can consider diversifying his investment portfolio to minimize risk and maximize returns.

Q: What are the benefits of understanding the return on investment (ROI) when comparing investment returns?

A: Understanding the ROI helps investors make informed decisions and compare investment returns accurately. It also helps investors identify areas for improvement and optimize their investment portfolios.

Q: What are the common mistakes investors make when comparing investment returns?

A: One common mistake investors make is focusing solely on the total return on investment without considering the ROI. This can lead to inaccurate comparisons and poor investment decisions.

Q: How can investors avoid making these mistakes?

A: Investors can avoid making these mistakes by understanding the ROI and considering it when comparing investment returns. They should also consider the total return on investment, the total amount invested, and the risk associated with each investment.

Q: What are the key takeaways from this article?

A: The key takeaways from this article are:

Understanding the ROI is crucial when comparing investment returns.
Tasha's ROI is lower than Thomas's, but their ROI is the same.
Tasha should consider investing in a single account with a higher interest rate to maximize her returns.
Thomas should consider diversifying his investment portfolio to minimize risk and maximize returns.
Understanding the ROI helps investors make informed decisions and compare investment returns accurately.