A laptop depreciates in value by 20% each year. If its initial price was $1,500, what is its value after 3 years? - jntua results
How Laptop Depreciation Works: How Much Will Your $1,500 Laptop Be Worth After 3 Years?
How Laptop Depreciation Works: How Much Will Your $1,500 Laptop Be Worth After 3 Years?
If you’ve ever purchased a new laptop, you’ve likely noticed a surprising reality: your device’s value drops sharply over time. In fact, a commonly cited estimate is that laptops depreciate by about 20% per year, especially when considering residual value after office or consumer use. But how does that math work? And what happens to your expensive machine after three years?
The Basic Equation of Annual Depreciation
Understanding the Context
Depreciation is the reduction in value over time. In this case, a 20% annual depreciation means your laptop retains only 80% of its value each year. To calculate its future worth, we apply this percentage repeatedly.
Initial Price: $1,500
Annual Depreciation Rate: 20% → Residual Value: 80% or 0.80
After Year 1:
Value = $1,500 × 0.80 = $1,200
After Year 2:
Value = $1,200 × 0.80 = $960
Key Insights
After Year 3:
Value = $960 × 0.80 = $768
Final Result – Value After 3 Years: $768
So, after three years, a laptop originally priced at $1,500 would depreciate to approximately $768, representing a cumulative loss of about 49% of its initial price — primarily due to rapid depreciation in the first few years.
Why Does This Depreciation Happen So Fast?
Laptops are high-tech devices with rapidly evolving hardware. Each year, new models release faster procesors, more memory, better displays, and improved features—making older models less desirable in both business and consumer markets.
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Practical Takeaway
Understanding laptop depreciation helps when planning to sell, trade in, or budget for replacement. Buyers should keep in mind that a $1,500 laptop loses roughly $720 in the first 3 years — meaning selling it when new models emerge can save money, but also means fast value erosion soon after purchase.
Summary:
- Starting price: $1,500
- 20% annual depreciation = retains 80% each year
- After 3 years: $1,500 × (0.80)³ = $768
Stay informed to make smarter tech purchases — and protect your investment by understanding depreciation.