Time value of money is different in different time periods. It may be due to inflation, uncertainty, opportunity cost and effect of tax etc. It is very important to understand accumulation of future values of our present
CS Professional · Insurance - Law & Practice · PYQS · June 2024
Time value of money is different in different time periods. It may be due to inflation, uncertainty, opportunity cost and effect of tax etc. It is very important to understand accumulation of future values of our present investments specially for retirement planning. Find out the Future values of present investment of ₹10,000 for 10 years @ 10% with Simple and Compound interests. If the Average Rate of inflation is 6%, how do you find out the Real Return (Explain the Formulae).
Answer & Explanation:
At the End of the Year Future Value with Simple Interest Rate (₹) Future Value with Compound Interest Rate (₹) 1 11,000 11,000 2 12,000 12,100 3 13,000 13,310 4 14,000 14,641 5 15,000 16,105 6 16,000 17,716 7 17,000 19,487 8 18,000 21,436 9 19,000 23,580 10 20,000 25,937 (a) Simple Interest Formula: A=P×(1+r×t) (b) Compound Interest Formula: A=P×(1+r)^t Where: A = Future Value P = Principal amount (Present investment) r = Interest rate per period (in decimal) t = Number of years Real Return = ( (1+r) / (1+i) ) - 1 where r = Rate of interest & i = Rate of Inflation Here Rate of Interest = 10% & Inflation Rate = 6% Real Return = ( (1+0.10) / (1+0.06) ) - 1 = 3.77%
Topics: Financial Planning
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