Our first goal in this lesson is to recalculate the interest earned and value of the account, this time calculating the next year's interest on the entire value of the account (including previously earned interest), rather than just on the principal amount. Compute the amount of interest earned during the second year if that amount is 5% of both the principal amount of $600 AND the $30 in interest that was already earned in the first year. Find the new ending value as well.
Risk and return
Before understanding the concept of Risk and Return in Financial Management, understanding the two-concept Risk and return individually is necessary.
Capital Asset Pricing Model
Capital asset pricing model, also known as CAPM, shows the relationship between the expected return of the investment and the market at risk. This concept is basically used particularly in the case of stocks or shares. It is also used across finance for pricing assets that have higher risk identity and for evaluating the expected returns for the assets given the risk of those assets and also the cost of capital.
Our first goal in this lesson is to recalculate the interest earned and value of the account, this time calculating the next year's interest on the entire value of the account (including previously earned interest), rather than just on the principal amount.
Compute the amount of interest earned during the second year if that amount is 5% of both the principal amount of $600 AND the $30 in interest that was already earned in the first year. Find the new ending value as well.
![### Overview of Simple Interest Calculation Over Time
The following table illustrates the calculation of simple interest over a period of four years, starting with an initial account balance of $600. This educational example demonstrates how interest accrues annually and how the total value of the account increases accordingly.
| **Time** | **Total Simple Interest Earned** | **Value of Account** |
|-----------------|----------------------------------|----------------------|
| Start | – | $600 |
| After 1 year | $30 | $630 |
| After 2 years | $60 | $660 |
| After 3 years | $90 | $690 |
| After 4 years | $120 | $720 |
### Explanation of the Table
- **Time Column:** This column tracks the duration in years from the start. At the "Start" (initial time), there is no interest earned yet.
- **Total Simple Interest Earned Column:** This column shows the total interest earned at each time interval. Simple interest is calculated annually based on the initial principal amount.
- **Value of Account Column:** This column indicates the total value of the account after including the simple interest earned each year.
### Analysis
1. **Starting Period:**
- At the start, the account value is $600.
- No interest is earned at this point.
2. **After 1 Year:**
- The account earns $30 in interest.
- The total value of the account increases to $630.
3. **After 2 Years:**
- The account earns an additional $30, totaling $60 in interest.
- The account value becomes $660.
4. **After 3 Years:**
- Another $30 is added to the interest, making it $90 in total.
- The account value reaches $690.
5. **After 4 Years:**
- The total interest earned is $120 after gaining another $30.
- The final value of the account is $720.
### Conclusion
This example showcases how simple interest is calculated yearly and added to the initial account balance. By understanding how interest accumulates over time, one can better comprehend the growth of savings or investments made with simple interest terms.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdda09d58-475a-416c-81f6-0e0740e5b533%2F6b435d1a-5462-4deb-9ed8-385d9984687f%2F4bt7vof.png&w=3840&q=75)
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