A car depreciates in value by 15% per year. If the initial value of the car is $20,000, what will its value be after 3 years?

["Why Car Loss in Value Matters — and What $20,000 Becomes in Three Years", "Ever wondered why a car loses roughly 15% of its worth each year? For buyers, investors, and everyday drivers, understanding depreciation isn’t just about spreadsheets—it’s about long-term financial planning. With ongoing economic shifts and rising transportation costs, more people are researching realistic value retention. If you own or plan to buy a vehicle, knowing how depreciation works helps avoid unexpected financial surprises. In cities across the U.S., where average car values fluctuate with lifestyle and market trends, tracking depreciation offers clarity in an unpredictable market.", "A car depreciates in value by 15% per year, and if the original price is $20,000, this trend reveals measurable long-term implications. Over three years, this consistent value loss significantly impacts ownership costs, trade-in worth, and resale strategy. The math behind this decline isn’t driven by sudden events but steady market forces—supply and demand, mileage, and technological advances all play a role. Understanding this helps consumers make smarter, more informed decisions.", "### The Mechanics Behind 15% Annual Depreciation", "Depreciation for vehicles follows predictable patterns rooted in economic principles. While "15% per year" is a common benchmark, actual rates vary based on make, model, brand reputation, and market conditions. Vehicles lose value because new models appear regularly, technology becomes obsolete quickly, and wear accumulates regardless of use. Over three years, the compounded effect leads to substantial value erosion—especially on used cars without premium features. This predictable decline sets a baseline that buyers use when budgeting for long-term ownership.", "Let’s explore how depreciation works with a $20,000 car over three years, grounded in this 15% annual rate. Each year, the value drops by 15% of the previous year’s balance, not a flat $3,000. This compounding effect illustrates why planning beyond the first purchase is essential. The result is not abrupt, but gradual—and unmistakable.", "### Applying the Numbers: How Much Is a $20,000 Car Worth After 3 Years?", "Using the 15% annual depreciation rate, the value drops in three stages:", "- Year 0 (Initial): $20,000 \n- Year 1: 20,000 × 0.85 = $17,000 \n- Year 2: 17,000 × 0.85 = $14,450 \n- Year 3: 14,450 × 0.85 ≈ $12,282.50", "After three years, the vehicle retains approximately $12,282.50—nearly a third of the original price. This figure reflects realistic market depreciation, offering a clear benchmark rooted in consistent downward movement, not sudden drops or arbitrary annual losses."]