Answer:
- $27,636.83
- $13,543.01
- -$14,093.82
- -51.0%
Step-by-step explanation:
1. The amount invested is the amount for each stock ($111.89) times the number of stocks (247).
$111.89 × 247 = $27,636.83
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2. She received $54.83 for each of her 247 shares of stock, so the amount she received was ...
$54.83 × 247 = $13,543.01
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3. The absolute change is the ending amount less the beginning amount:
$13,543.01 - 27,636.83 = -$14,093.82
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4. The percentage change is found by dividing the absolute change by the original amount, then multiplying by 100%.
-$14,093.82/$27,636.83 × 100% ≈ -50.99651% ≈ -51.0%
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The percentage change can also be figured using the price of a single share of stock. Essentially, we factor out the factor of 247 that is both of the numbers used above. We also rearrange the computation so that the original value only needs to be entered once.
percentage change = ((new value) - (original value))/(original value) × 100%
= ((new value)/(original value) -1) × 100%
= (54.83/111.89 -1) × 100%
= (0.4900349 -1) × 100% = -0.5099651 × 100%
= -50.99651% ≈ -51.0%
It's the same computation, but performed slightly differently.
