An investment grows at an annual rate of 5%. If $1000 is invested, how much will it be worth after 3 years, compounded annually?
["How Compound Growth Works: How $1,000 Investment Grows at 5% Annually Over 3 Years", "When investing, one of the most powerful concepts is compound interest — compound growth that helps your money work harder over time. Understanding how your investment grows soon becomes essential for sound financial planning.", "In this article, we’ll explore a simple yet powerful example: How much will $1,000 grow if invested at an annual rate of 5% compounded yearly over 3 years?", "---", "### The Formula: Time, Rate, and Growth", "The formula for compound interest is:", "[\nA = P(1 + r)^n\n]", "Where:\n- ( A ) = the future value of the investment\n- ( P ) = principal amount (initial investment)\n- ( r ) = annual interest rate (in decimal form)\n- ( n ) = number of years compounding", "---", "### Applying the Numbers", "Given:\n- ( P = $1,000 )\n- ( r = 5% = 0.05 )\n- ( n = 3 ) years", "Plug into the formula:", "[\nA = 1000 \ imes (1 + 0.05)^3\n]\n[\nA = 1000 \ imes (1.05)^3\n]", "Calculate ( (1.05)^3 ):", "[\n1.05^3 = 1.05 \ imes 1.05 \ imes 1.05 = 1.157625\n]", "Now multiply by $1,000:", "[\nA = 1000 \ imes 1.157625 = $1,157.63\n]", "---", "### After 3 Years: Your Investment Grows to $1,157.63", "This means if you invest $1,000 at an annual compound interest rate of 5%, after 3 years, your total value will be $1,157.63. That’s a 15.76% total growth — all thanks to the power of compounding.", "---", "### Why Compound Growth Matters", "- Time accelerates growth: Even modest annual returns compound significantly over time.\n- Compounding frequency matters: Annual compounding is easier to calculate, but more frequent compounding (monthly, quarterly, daily) yields even greater growth.\n- Start early, let time work: Even small investments grow substantially over long periods.", "---", "### Bottom Line", "A $1,000 investment growing at 5% annually compounds to $1,157.63 after 3 years, demonstrating how consistent growth builds wealth steadily. Use this formula to estimate returns and start planning your financial future today.", "---", "Keywords: compound interest formula, how much will $1000 grow in 3 years at 5%, annual compound interest, investment growth calculation, 5% compound annual growth, future value of investment, compound interest example, financial planning, long-term investment growth.", "---", "Stay informed, plan ahead, and watch your savings grow through the incredible power of compound interest!"]
