#1
What is the fundamental concept of the Time Value of Money (TVM)?
Money has a time dimension
ExplanationTVM asserts that the value of money changes over time due to factors such as interest and inflation.
#2
What role does the time period play in determining the future value of an investment?
Directly proportional to future value
ExplanationThe time period and future value are directly proportional – as the time period increases, the future value of an investment also increases.
#3
Which formula represents the future value of a single sum investment?
FV = PV * (1 + r)^n
ExplanationThe future value (FV) of an investment is calculated by compounding the present value (PV) over time using the interest rate (r) and the number of compounding periods (n).
#4
What does the discount rate represent in the context of Time Value of Money?
The interest rate at which present value is calculated
ExplanationThe discount rate is the interest rate used to determine the present value of future cash flows, reflecting the time value of money.
#5
What is the significance of the discount factor in Time Value of Money calculations?
It adjusts the future value to its present value
ExplanationThe discount factor is a multiplier that adjusts the future value to its present value, accounting for the time value of money.
#6
In the context of annuities, what does the term 'ordinary annuity' refer to?
Payments made at the end of each period
ExplanationAn ordinary annuity involves equal payments made or received at the end of each period.
#7
In Time Value of Money calculations, what does the term 'opportunity cost' refer to?
The cost of missed investment opportunities
ExplanationOpportunity cost in TVM represents the potential benefits foregone by choosing one investment over another.
#8
How does an increase in the interest rate affect the present value of a future cash flow?
Decreases present value
ExplanationA higher interest rate decreases the present value of a future cash flow due to increased discounting.
#9
Which of the following is an application of Time Value of Money?
Mortgage calculations
ExplanationTVM is applied in mortgage calculations to assess the present value of future loan payments and determine loan eligibility.
#10
What is the formula for calculating the present value of a single sum?
PV = FV / (1 + r)^n
ExplanationThe present value (PV) of a single sum is computed by discounting the future value (FV) using the interest rate (r) and the number of discounting periods (n).
#11
What is the formula for calculating the future value of an annuity?
FV = PMT * ((1 + r)^n - 1) / r
ExplanationThe future value (FV) of an annuity is determined by multiplying the periodic payment (PMT) by a factor that considers the compounding of interest over time.
#12
How does compounding frequency affect the future value of an investment?
Higher compounding frequency results in a higher future value
ExplanationMore frequent compounding periods lead to a higher future value due to more frequent interest calculations.
#13
What is the primary objective of using the Net Present Value (NPV) method in capital budgeting?
Maximizing the difference between inflows and outflows
ExplanationNPV aims to maximize the positive difference between cash inflows and outflows, indicating the profitability of an investment.
#14
What is the formula for calculating the present value of an annuity?
PV = PMT * ((1 - (1 + r)^(-n)) / r)
ExplanationThe present value (PV) of an annuity is computed by discounting the sum of future periodic payments using the interest rate (r) and the number of discounting periods (n).