$20,000 car, 20% a year, 3 years
- Purchase price
- 20000
- Years of ownership
- 3
- Value lost each year
- 20
Result Estimated value at the end: $10,240.00
Total value lost: $9,760.00
Share of price kept: 51.2%
Average loss per year: $3,253.33
Loss in the first year: $4,000.00
- Share kept each year = 1 − 20% = 0.8
- Value = $20,000.00 × 0.8^3 = $10,240.00
- Value lost = $20,000.00 − $10,240.00 = $9,760.00
- Average loss per year = $9,760.00 ÷ 3 = $3,253.33
Each year the car keeps 80% of what it was worth the year before, so after three years 0.8 × 0.8 × 0.8 = 51.2% of the price is left.