A bank offers a compound interest rate of 5% per annum. If $1000 is invested, how much will the investment be worth after 3 years?
["How Compound Interest Grows Your Investment: A $1000 Principal at 5% Over 3 Years", "Understanding how money grows over time is essential for smart financial planning — especially when investing with compound interest. In this article, we’ll explore a real-world example: what happens when a bank offers a 5% annual compound interest rate on a $1,000 investment over 3 years.", "### What Is Compound Interest?", "Compound interest means your money earns interest not only on your initial principal but also on the interest already accrued. Unlike simple interest, which is calculated only on the principal, compound interest accelerates growth over time — making it a powerful tool for long-term investing.", "---", "### The Investment Breakdown", "Let’s break down the math behind a $1,000 investment earning 5% compound interest annually:", "- Principal (P): $1,000\n- Annual interest rate (r): 5% = 0.05\n- Time (t): 3 years", "Using the compound interest formula:\n[ A = P \ imes (1 + r)^t ]", "Plugging in the values:\n[ A = 1000 \ imes (1 + 0.05)^3 ]\n[ A = 1000 \ imes (1.05)^3 ]\n[ A = 1000 \ imes 1.157625 ]\n[ A = 1157.63 ]", "---", "### Final Value After 3 Years", "After 3 years, your initial investment of $1,000 grows to $1,157.63 thanks to compound interest. This means you’ve earned $157.63 in interest — a return of 15.763% over three years.", "---", "### Why Compound Interest Matters", "Starting early with compound interest can dramatically boost your savings. Even modest principal amounts grow significantly over time. For example:", "- A 25-year investment horizon at 5% compounds into over $1,700\n- Starting at age 20 versus age 30 can mean hundreds more due to long-term growth", "---", "### Final Thoughts", "A 5% annual compound interest rate is a strong return for a conservative investment — and $1,000 grows to $1,157.63 in just 3 years. This demonstrates the impact of compounding and highlights why beginning to save early is one of the smartest financial decisions you can make.", "If you’re considering investing, look for banks and accounts offering compound interest — even small amounts, when left to grow, can become meaningful wealth over time.", "---", "Keywords: compound interest, 5% annual interest, investment growth formula, how compound interest works, $1000 investment return, 3-year compound interest, smart saving strategies, money growth calculation, banking interest rates."]
