A stock increases by 25% in the first quarter, decreases by 15% in the second quarter, and increases by 10% in the third quarter. If the initial stock price is $80, what is the stock price at the end of the third quarter?

["Stock Price Journey: How a 25% Rally, 15% Drop, and 10% Gain Transformed an Initial $80 Investment", "Tracking how stock prices move over successive quarters can reveal powerful insights for investors. Consider this real-world scenario: a stock begins at $80. It surges 25% in the first quarter, then drops 15% in the second, and ends with a 10% increase in the third quarter. What is the final price — and what does this pattern mean for investors?", "### Starting Point: $80", "The first movement transforms the stock price early in the year. A 25% gain means the stock rises by 25% of $80:", "$$\n25% \ ext{ of } 80 = 0.25 \ imes 80 = 20\n$$\nSo, at the end of the first quarter:\n$$\n80 + 20 = 100\n$$\nStock price after Q1: $100", "---", "### Second Quarter: 15% Decline", "The second quarter brings a 15% drop from the $100 value.", "$$\n15% \ ext{ of } 100 = 0.15 \ imes 100 = 15\n$$\nNew price:\n$$\n100 - 15 = 85\n$$\nStock price after Q2: $85", "---", "### Third Quarter: 10% Increase", "Finally, a 10% gain on $85 means the stock climbs:", "$$\n10% \ ext{ of } 85 = 0.10 \ imes 85 = 8.5\n$$\nFinal price:\n$$\n85 + 8.5 = 93.5\n$$\nStock price at the end of Q3: $93.50", "---", "### Final Stock Price: $93.50", "This oscillating performance demonstrates volatility — common in publicly traded stocks. While the stock gains overall from $80 to $93.50 (+17.5%), investors must recognize the intermediate swings. A strong end-of-period gain reflects resilience, but the 15% dip highlights how quickly momentum can reverse.", "Understanding these patterns helps inform smarter long-term investment decisions. Even in fluctuating markets, consistent growth can emerge — provided the progression is upward. For this stock, the quarterly rollercoaster ends with a solid $93.50 per $80 share.", "Key Takeaway:\nStarting at $80, a 25% gain followed by a 15% decline and a 10% rebound closes the period at $93.50 — a net increase of $13.50 or 16.9%. This dynamics underscore the importance of patience, analysis, and disciplined exit strategies in stock market investing."]









