A company’s stock price increased by 15% in the first year and then decreased by 10% in the second year. If the initial price was $100, what is the final price? - Databee Business Systems
Title: Understanding Volatility: How a 15% Gain Followed by a 10% Drop Shaped This Company’s Stock Performance
Title: Understanding Volatility: How a 15% Gain Followed by a 10% Drop Shaped This Company’s Stock Performance
In the dynamic world of stock investments, large price swings often capture attention. Consider a recent case: a public company whose stock price soared 15% in its first year, only to dip by 10% in the second year, ending at a final price of $90 from an initial $100. This pattern offers valuable insights into market behavior, investor sentiment, and the true meaning behind % changes in stock value.
How the Stock Price Evolved
Understanding the Context
Starting at $100, a 15% increase in Year 1 boosted the share price to:
$100 + (15% of $100) = $100 + $15 = $115
However, in Year 2, despite a nominal 10% drop:
10% of $115 = $11.50, so the price fell to:
$115 – $11.50 = $103.50
Key Insights
Wait — interestingly, the final price is $103.50, not $90 as originally stated. But let’s explore both scenarios to clarify:
- If exactly 10% drop on $115: Final price = $103.50
- If the 10% reduction applies to the original $100, the drop would be $10, ending stock price at $90 — but this reflects a compound effect impacting the original value, not a simple sequential decrease.
In most realistic cases, the 10% loss is calculated on the new elevated price — so the correct final value is:
Final Stock Price: $103.50
Why This Fluctuation Matters
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Thus, the factored form is \(\boxed{(x - 3)(x + 3)}\). A scientist models nutrient uptake with the equation \[4x^2 - 20x + 25 = 0.\] Find the value of \(x\) that satisfies this equation. The equation \(4x^2 - 20x + 25 = 0\) is a quadratic. First, observe if it is a perfect square trinomial by checking if it can be written in the form \((ax + b)^2 = 0\).Final Thoughts
The dramatic 15% rise reflects strong early investor confidence—perhaps driven by revenue growth, strategic wins, or favorable market conditions. However, the 10% decline underscores market volatility, often triggered by macroeconomic shifts, profit downward revisions, sector-wide corrections, or profit-taking by investors after rapid gains.
What Investors Should Take Away
- Percent changes don’t tell the whole story — absolute dollar gains or losses matter.
- Volatility is common in growth stocks; swings of 10–15% aren’t unusual in dynamic sectors.
- Always evaluate fundamental indicators—like revenue, profit margins, and cash flow—alongside stock price movements.
Conclusion
While the share price technically rose 15% in Year 1 to $115 and dropped 10% in Year 2 to $103.50, the real narrative lies in understanding market reactions to short-term performance versus long-term potential. For investors, consistency and stability often signal sustainable growth, even amid temporary fluctuations.
Final Takeaway: A $100 stock peaking at $115 amid optimism, then settling at $103.50 after a manageable pullback, demonstrates both the promise and unpredictability of equity markets.
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Keywords: stock price increase 15%, stock price drop 10%, company stock performance, market volatility, final stock price calculation, investment returns analysis