Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

adjust the percentages of chriss investment to minimize the risk in his…

Question

adjust the percentages of chriss investment to minimize the risk in his portfolio
bond (low risk, low growth) 10%
mutual fund (medium risk, medium growth) 20%
stock (higher risk, higher growth) 50%
savings account (lowest risk, lowest growth) 20%

Explanation:

To minimize risk, we should allocate more to lower - risk investments and less to higher - risk ones.

Step 1: Analyze the risk levels

  • Savings Account: lowest risk, lowest growth. Current allocation: 20%.
  • Bond: low risk, low growth. Current allocation: 10%.
  • Mutual Fund: medium risk, medium growth. Current allocation: 20%.
  • Stock: higher risk, higher growth. Current allocation: 50%.

Step 2: Adjust the allocations

We need to decrease the percentage of Stock (higher risk) and increase the percentages of Savings Account and Bond (lower - risk). A common way to minimize risk is to have a larger portion in the lowest - risk (Savings Account) and low - risk (Bond) investments. Let's aim for:

  • Savings Account: Increase to, say, 40% (by using the + button on Savings Account until we reach 40%).
  • Bond: Increase to, say, 30% (by using the + button on Bond until we reach 30%).
  • Mutual Fund: Keep at 20% (medium risk, can be a small portion for some growth).
  • Stock: Decrease to 10% (by using the - button on Stock until we reach 10%).

Let's check the total: \(40\%+30\% + 20\%+10\%=100\%\)

(Note: The exact numbers can vary slightly as long as we are increasing low - risk and decreasing high - risk, but the key is to reduce the stock percentage and increase savings and bond percentages.)

For example, let's do the step - by - step adjustment:

Adjusting Stock (from 50% to 10%):

We need to decrease by \(50 - 10=40\%\). Each time we press the - button on Stock, we decrease the percentage. Let's assume each press decreases by a certain amount (usually 1% or 5%, but from the interface, we can press the - button multiple times. Let's say we press the - button on Stock 40 times if each press is 1%, but in the interface, maybe it's in steps. Alternatively, we can calculate the number of presses. If each - press reduces by 1%, we need 40 presses.

Adjusting Savings Account (from 20% to 40%):

We need to increase by \(40 - 20 = 20\%\). So we press the + button on Savings Account 20 times (if each + is 1%).

Adjusting Bond (from 10% to 30%):

We need to increase by \(30 - 10=20\%\). So we press the + button on Bond 20 times (if each + is 1%).

After these adjustments, the portfolio will have a lower overall risk as we have more in low - risk (Savings Account, Bond) and less in high - risk (Stock) investments.

Answer:

A possible adjusted portfolio to minimize risk is: Bond: 30%, Mutual Fund: 20%, Stock: 10%, Savings Account: 40% (or other similar allocations with more in low - risk and less in high - risk investments). The key action is to decrease the Stock percentage (using the - button on Stock) and increase the Savings Account and Bond percentages (using the + buttons on Savings Account and Bond) until the portfolio is more weighted towards low - risk investments.