Which is better: having a stock that goes up $$ 20 \% $$ on Monday than drops $$ 20 \% $$ on Tuesday, or a stock that drops $$ 20 \% $$ on Monday and goes up $$ 20 \% $$ on Tuesday? Both choices are equivalent. A stock that drops $$ 20 \% $$ on Monday and goes up $$ 20 \% $$ on Tuesday. A stock that goes up $$ 20 \% $$ on Monday than drops $$ 20 \% $$ on Tuesday.

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Let's analyze both scenarios to determine which outcome is better:

### Scenario 1: Up 20% on Monday, Then Down 20% on Tuesday

1. **Initial Investment:** \$100
2. **Monday:** 
   - Increases by 20%.
   - Calculation: \$100 × 1.20 = \$120
3. **Tuesday:** 
   - Decreases by 20%.
   - Calculation: \$120 × 0.80 = \$96
4. **Final Amount:** \$96

### Scenario 2: Down 20% on Monday, Then Up 20% on Tuesday

1. **Initial Investment:** \$100
2. **Monday:** 
   - Decreases by 20%.
   - Calculation: \$100 × 0.80 = \$80
3. **Tuesday:** 
   - Increases by 20%.
   - Calculation: \$80 × 1.20 = \$96
4. **Final Amount:** \$96

### Conclusion

Both scenarios result in the same final amount of **\$96**. This demonstrates that whether the stock goes up first and then down, or down first and then up by the same percentages, the end result is equivalent.

**Answer:** Both choices are equivalent.
Both scenarios result in the same final amount, so they are equivalent.

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