The price of a stock increases by 5% each day. If it starts at $100, what is its price after 7 days? - Treasure Valley Movers

The price of a stock increases by 5% each day. If it starts at $100, what is its price after 7 days?

Why would a stock’s value rise 5% daily, starting from $100? This pattern sparks interest because consistent daily gains—though rare in practice—resonate in an era where compounding and momentum capture attention. With rising inflation concerns and digital innovation shaping markets, trends like automated trading and AI-driven investing are fueling curiosity about predictable growth trajectories. For users tracking financial trends, even theoretical daily increases raise questions about realism, timing, and long-term implications.

What makes this scenario compelling isn’t just the math, but its alignment with broader market dynamics. A steady 5% daily increase might reflect hypothetical or accelerated compounding, but it mirrors real-world financial behaviors—like reinvestment returns or algorithmic lead losses—where small daily compounding amplifies over time in visible ways. Though sustained daily gains are unusual, understanding the math behind such growth unlocks insight into risk, expectation, and market psychology.

To determine the exact price after 7 days starting at $100 with a daily 5% increase, follow this simple formula: multiply the current value by 1.05 (representing 105%) each day. Starting with $100:
Day 1: $100 × 1.05 = $105
Day 2: $105 × 1.05 = $110.25
Day 3: $110.25 × 1.05 = $115.76
Day 4: $115.76 × 1.05 ≈ $121.55
Day 5: $121.55 × 1.05 ≈ $127.63
Day 6: $127.63 × 1.05 ≈ $134.01
Day 7: $134.01 × 1.05 ≈ $140.71

Result: After 7 days, the stock price reaches approximately $140.71. While true daily compounding with fixed rates is rare in real markets, this model helps illustrate compound growth concepts central to