PRC-2 · Chapter 5 · Question 19 of 50
Danish deposits Rs. 50,000 into a high-yield fund that calculates interest using continuous compounding at an annual rate of 8%. What is the approximate balance after 5 years?
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: C) Rs. 74,591
Explanation
Continuous compounding uses the formula S = P * e^(rt). Here, S = 50,000 * e^(0.08 * 5) = 50,000 * e^(0.40). Using the value of e^0.40 (≈ 1.49182), the balance is roughly 74,591.
More Financial Mathematics MCQs
- Q21A company plans to deposit Rs. 5,000 at the end of each year for 4 years into a sinking fund earning 6% annually. What will the future…
- Q22An elite endowment provides a constant payout of Rs. 3,000 at the end of every month forever. If the prevailing annual interest rate is…
- Q23According to the financial rule of compounding, if a specific sum is invested at a 12% nominal rate compounded semi-annually, roughly how…
- Q24Which of the following compounding frequencies will yield the highest Effective Annual Rate (EAR) assuming the nominal stated interest…
- Q25An investment of Rs. 1,000 grows to Rs. 1,500 over a period of 5 years with interest compounded annually. What is the approximate annual…
