A computer depreciates in value by 15% annually. If its initial value is $1,200, what is its value after 4 years? - Sourci

Understanding the Context

The 15% annual depreciation reflects more than just physical wear—it's tied to fast-paced innovation and shifting consumer expectations. Computers, especially personal laptops and desktops, rotate through tech cycles that compress usable lifespan. Even reliable hardware becomes outdated as software requirements climb and new features render older components less efficient—without any visible damage. For buyers and owners alike, this means value declines steadily, mirroring the pace of technological progress, not mechanical failure.

How Depreciation Actually Works: The Math Behind the Drop

If a computer starts at $1,200 and depreciates by 15% each year, its value isn’t lost instantly—it reduces by a portion of its current worth.
After Year 1: $1,200 × (1 − 0.15) = $1,020
After Year 2: $1,020 × 0.85 = $867
After Year 3: $867 × 0.85 ≈ $736.95
After Year 4: $736.95 × 0.85 ≈ $626.41

This mathematical decline illustrates a consistent erosion—not a one-time shock—offering a data-driven view of loss over time.

Key Insights

Common Questions About Computer Depreciation

Why does my computer lose 15% of its value every year?
It’s not physical wear—it’s market response to rapid tech evolution, where newer models quickly overshadow older ones in capability and compatibility.

Will depreciation slow or speed up over time?
Typically, the rate holds steady annually, assuming consistent age, much like a rough forecast in technology’s fast lane.

How does depreciation affect resale value?
Understanding depreciation helps predict resale: what you pay today rarely recovers fully after a few years, particularly beyond the first few, due to cumulative value loss.

Realistic Pros and Limitations

Final Thoughts

Adopting this depreciation model