A bank offers a compound interest rate of 5% per annum. If you invest $1000, how much will the investment be worth after 3 years?
["How Compound Interest Works: A $1000 Investment at 5% Per Year Grows to Over $1,500 in 3 Years", "When building long-term wealth, understanding compound interest is essential. A popular financial product offered by many banks includes a compound interest rate of 5% per year. In this article, we’ll explore exactly how much a $1,000 investment can grow over three years with compound interest and why it’s a powerful tool for savers and investors.", "### Understanding Compound Interest", "Compound interest means that interest is earned not only on the original principal but also on the accumulated interest from prior periods. This “interest on interest” effect significantly boosts growth compared to simple interest, especially over time.", "### The Math Behind Compound Interest", "The formula for compound interest is:", "[\nA = P (1 + r)^t\n]", "Where:\n- (A) = total amount after time (t)\n- (P) = principal amount (initial investment)\n- (r) = annual interest rate (in decimal form)\n- (t) = time in years", "### Given Values\n- Principal ((P)) = $1,000\n- Annual interest rate ((r)) = 5% = 0.05\n- Time ((t)) = 3 years", "### Step-by-Step Calculation", "1. Year 1:\nAmount = ( 1000 \ imes (1 + 0.05) = 1000 \ imes 1.05 = 1050 )", "2. Year 2:\nAmount = ( 1050 \ imes 1.05 = 1102.50 )", "3. Year 3:\nAmount = ( 1102.50 \ imes 1.05 = 1157.625 )", "Alternatively, using the formula:\n[\nA = 1000 \ imes (1 + 0.05)^3 = 1000 \ imes (1.05)^3 = 1000 \ imes 1.157625 = 1157.63\n]", "### Final Result", "After 3 years, your $1,000 investment earning 5% compounded annually grows to $1,157.63.", "### Why Compound Interest Matters", "Even a modest rate like 5% has a dramatic effect over time due to compounding. This principle underscores the value of early and consistent investing. Banks offering compound interest help savers grow their wealth efficiently without taking on additional risk.", "### Bottom Line", "If you invest $1,000 at a 5% annual compound interest rate:\nAfter 3 years: $1,157.63\nAfter 10 years: $1,628.89\nAfter 30 years: $4,321.94", "Compound interest is one of the most powerful forces in personal finance—starting early and allowing time is key to maximizing your returns.", "---", "Ready to grow your savings? Choose a bank offering competitive compound interest and watch your money work for you—year after year."]
