سؤال**: يقدم بنك سعر فائدة مركب بنسبة 5٪ سنويًا. إذا تم استثمار 1000 دولار، فما قيمته بعد 3 سنوات؟
["Expert Guide: How Compound Interest at 5% Annually Transforms Investments (Example: $1,000 after 3 Years)", "When considering savings opportunities, one of the most powerful financial tools is compound interest. For investors, understanding how compound interest works can significantly boost long-term wealth. A common question arises: What is the future value of a $1,000 investment earning 5% interest compounded annually over 3 years?", "### Understanding Compound Interest", "Compound interest means earning interest not only on your original investment amount but also on the accumulated interest from previous periods. This "interest on interest" effect accelerates growth, especially over longer timeframes.", "The standard formula for compound interest is:", "[\nA = P \left(1 + \frac{r}{n}\right)^{nt}\n]", "Where:\n- ( A ) = the future value of the investment\n- ( P ) = principal amount (initial investment)\n- ( r ) = annual interest rate (in decimal)\n- ( n ) = number of times interest is compounded per year\n- ( t ) = number of years", "### Applying the Formula to Your Investment", "Given:\n- ( P = 1,000 ) dollars\n- ( r = 5% = 0.05 )\n- ( n = 1 ) (compounded annually)\n- ( t = 3 ) years", "Plugging into the formula:", "[\nA = 1000 \left(1 + \frac{0.05}{1}\right)^{1 \ imes 3} = 1000 \ imes (1.05)^3\n]", "Now calculate ( (1.05)^3 ):", "[\n(1.05)^3 = 1.157625\n]", "Thus,", "[\nA = 1000 \ imes 1.157625 = 1,!157.63\n]", "### Final Result", "After 3 years, a $1,000 investment earning 5% compounded annually grows to approximately $1,157.63.", "### Why Compound Interest Matters", "Starting early and consistently adding to your investment dramatically increases returns. Even small differences in rates or time frames yield significant results—this makes compound interest a cornerstone of wealth management. It’s simple yet powerful: patience and consistent growth compound into substantial gains.", "---", "Key takeaways:\n- 5% annual compound interest significantly boosts savings over time.\n- With $1,000 invested for 3 years, the final amount reaches $1,157.63.\n- Begin investing early—time exponentially increases returns through compounding.", "Start today to let compounding work in your favor!"]
