If you invest Rs. 850 for a duration of 4 years at an interest rate of 10%, what will be the resulting future value of your investment?
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Answer: B. Rs. 1,244
Explanation
Future value calculations compound initial principal amounts over specified time horizons at given rates. Investing an initial sum of 850 for four years at ten percent interest generates compound growth. Mathematical evaluation of this compound growth formula results in a future value of approximately 1,244. The compound interest formula multiplies the principal by one plus the interest rate raised to time. Money grows exponentially over time because interest earns additional interest during subsequent periods. Time value of money principles underlie all modern financial mathematics and investment valuation models.
Individual retirement planning relies heavily on future value projections to estimate long-term savings growth. Corporate treasurers use compounding formulas to forecast returns on short-term corporate cash surpluses. Understanding future value helps consumers evaluate the true cost of loans and savings accounts. Rs. 1,000 underestimates the compound growth achieved over the four-year investment duration. Rs. 1,331 represents the incorrect compounding period calculation or an erroneous interest rate assumption. Rs. 1,464 overestimates the future value because it assumes a much higher effective rate or timeframe.
- Subject
- Accounting and Finance
- Category
- Finance
- Topic
- —
- Difficulty
- medium
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