The correct option is this Rs. 1,464.
In Finance MCQs, understanding the future value (FV) of an investment is a core concept based on the time value of money (TVM). The time value of money principle emphasizes that a sum of...
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The correct option is this Rs. 1,464.
In Finance MCQs, understanding the future value (FV) of an investment is a core concept based on the time value of money (TVM). The time value of money principle emphasizes that a sum of money available today is worth more than the same sum in the future due to its potential earning capacity. Calculating future value helps investors, students, and financial professionals determine how much an initial investment will grow over a specified period when a fixed interest rate is applied. This concept is vital for personal finance planning, corporate investment decisions, retirement planning, and capital budgeting.
The standard formula for calculating the future value of a single lump-sum investment is:
FV = PV × (1 + r)ⁿ
Where:
FV is the future value of the investment,
PV is the present value or initial investment,
r is the annual interest rate, and
n is the number of periods (usually years).
Applying this formula to the example in the Finance MCQ: if the initial investment is Rs. 850, the annual interest rate is 10% (0.10), and the investment period is 4 years, the future value is calculated as follows:
FV = 850 × (1 + 0.10)⁴
FV = 850 × (1.1)⁴
FV = 850 × 1.4641 ≈ 1,464
This calculation shows that an investment of Rs. 850 will grow to approximately Rs. 1,464 after 4 years, assuming the interest is compounded annually. Compound interest is the key concept here: it means that the interest earned in each period is added to the principal, and in subsequent periods, interest is earned on both the principal and the accumulated interest. This demonstrates the power of compounding, showing how even relatively small investments can grow substantially over time.
It is also important to understand why the other options in this Finance MCQ are incorrect. An option like Rs. 1,000 ignores the effect of interest altogether, only reflecting the initial principal and assuming no growth. Options like Rs. 1,244 or Rs. 1,331 fail to correctly account for compounding over the four-year period, thereby underestimating the actual future value. Only Rs. 1,464 correctly incorporates the compounded interest, reflecting the true growth of the investment over the period.
Future value calculations are widely used in finance beyond simple savings plans. In investment planning, FV helps evaluate whether a particular investment meets future financial goals. In corporate finance, it is used for budgeting and forecasting, determining the projected returns of projects or capital investments. Financial analysts often use FV to assess loan outcomes, retirement fund growth, or the potential return of securities over time. By comparing the future values of alternative investment options, investors can make informed decisions based on their risk tolerance, required return, and time horizon.
Mastery of FV also aids in understanding related finance concepts such as net present value (NPV), internal rate of return (IRR), and annuity calculations. These concepts frequently appear in Finance MCQs and professional exams, linking investment theory with practical application. Knowing how to compute future value allows students and professionals to evaluate compounded growth, make informed decisions, and anticipate the effect of interest rates over time.
In conclusion, investing Rs. 850 at 10% annual interest for 4 years results in a future value of Rs. 1,464. Understanding this calculation equips finance students, investors, and professionals to apply the time value of money principle, assess investment growth accurately, and confidently answer Finance MCQs involving future value and compounding. This knowledge is fundamental to financial planning, investment analysis, and strategic capital allocation.
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