First National Bank pays 5.3% interest compounded semiannually. Second National Bank pays 6% interest, compounded monthly. a. Calculate the future value for each dollar invested in First National (Assume you invest $1). (Do not round intermediate calculations. Round your answer to 5 decimal places.) Future value b. Calculate the future value for each dollar invested in Second National (Assume you invest $1). (Do not round intermediate calculations. Round your answer to 5 decimal places.) Future value c. Which bank offers the higher effective annual rate? O First National Bank O Second National Bank

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
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**Interest Compounding Comparison Exercise**

**Introduction:**

This exercise evaluates the future value of investments with two banks offering different interest rates and compounding frequencies. Understanding which option yields a higher return can guide financial decision-making.

**Scenario:**

- **First National Bank** offers 5.3% interest compounded semiannually.
- **Second National Bank** offers 6% interest compounded monthly.

**Instructions:**

a. **Calculate the Future Value with First National Bank**

   - Assume an investment of $1.
   - Perform calculations without rounding intermediate results.
   - Provide the final answer rounded to five decimal places.

   - **Future value for First National Bank:**
     - Input your result here: $ _______

b. **Calculate the Future Value with Second National Bank**

   - Assume an investment of $1.
   - Perform calculations without rounding intermediate results.
   - Provide the final answer rounded to five decimal places.

   - **Future value for Second National Bank:**
     - Input your result here: $ _______

c. **Determine the Better Investment**

   - Identify which bank offers the higher effective annual rate.
   - Choose one of the following options:

   - ⭕ First National Bank
   - ⭕ Second National Bank

**Objective:**

This exercise helps in analyzing the impact of different compounding methods on investment returns, highlighting the importance of understanding effective interest rates in financial planning.
Transcribed Image Text:**Interest Compounding Comparison Exercise** **Introduction:** This exercise evaluates the future value of investments with two banks offering different interest rates and compounding frequencies. Understanding which option yields a higher return can guide financial decision-making. **Scenario:** - **First National Bank** offers 5.3% interest compounded semiannually. - **Second National Bank** offers 6% interest compounded monthly. **Instructions:** a. **Calculate the Future Value with First National Bank** - Assume an investment of $1. - Perform calculations without rounding intermediate results. - Provide the final answer rounded to five decimal places. - **Future value for First National Bank:** - Input your result here: $ _______ b. **Calculate the Future Value with Second National Bank** - Assume an investment of $1. - Perform calculations without rounding intermediate results. - Provide the final answer rounded to five decimal places. - **Future value for Second National Bank:** - Input your result here: $ _______ c. **Determine the Better Investment** - Identify which bank offers the higher effective annual rate. - Choose one of the following options: - ⭕ First National Bank - ⭕ Second National Bank **Objective:** This exercise helps in analyzing the impact of different compounding methods on investment returns, highlighting the importance of understanding effective interest rates in financial planning.
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