#1
What does the 'n' represent in the time value of money formulas?
Number of periods
ExplanationRepresents the duration or the number of time periods.
#2
Which of the following correctly describes the concept of 'compounding'?
Adding interest to the initial investment
ExplanationAccumulating interest on principal over time.
#3
What does the term 'time value of money' refer to?
The idea that money available at the present time is worth more than the same amount in the future
ExplanationPrinciple that money has greater worth over time.
#4
Which of the following formulas is used to calculate the future value of a single sum?
FV = PV * (1 + r)^n
ExplanationFuture value equals present value multiplied by the growth factor.
#5
Which of the following is NOT a component of the time value of money?
Investment horizon
ExplanationNot directly involved in time value calculations.
#6
What is the concept used to compare investments with different payment frequencies?
Effective annual rate
ExplanationStandardizes rates to compare investment returns.
#7
What is the formula to calculate the present value of a single sum?
PV = FV / (1 + r)^n
ExplanationPresent value equals future value discounted back to the present.
#8
Which of the following is true regarding the relationship between interest rate and present value?
As interest rate increases, present value decreases
ExplanationInverse relationship due to discounting effect.
#9
Which of the following describes the concept of 'opportunity cost' in the context of time value of money?
The cost of forgoing the next best alternative when making a decision
ExplanationThe value of the best alternative foregone.
#10
In the context of time value of money, what does the term 'discounting' refer to?
Adjusting future cash flows to their present value
ExplanationProcess of determining present value of future cash flows.
#11
What is the present value of $1000 to be received in 5 years at an interest rate of 8% per annum compounded annually?
$746.22
ExplanationPresent value calculated using the formula for compounding interest.
#12
What is the future value of $5000 invested at an interest rate of 6% per annum compounded quarterly for 3 years?
$6,202.12
ExplanationAccumulated value after compounding interest over time.
#13
Which of the following is used to measure the sensitivity of the present value of an investment to changes in interest rates?
Duration
ExplanationMeasures the weighted average time it takes to receive the investment's cash flows.
#14
What is the formula to calculate the future value of an annuity?
FV = PMT * (1 - (1 + r)^-n) / r
ExplanationFuture value of a series of payments at regular intervals.
#15
What is the formula to calculate the present value of an annuity?
PV = PMT * ((1 - (1 + r)^-n) / r)
ExplanationPresent value of a series of payments at regular intervals.
#16
What is the present value of an investment that promises to pay $200 per month for 5 years, given an interest rate of 8% per annum compounded monthly?
$10,083.64
ExplanationValue today of a stream of future payments.
#17
What is the formula for calculating the number of periods (n) in the time value of money context?
n = ln(PV/FV) / ln(1 + r)
ExplanationCalculates time needed to reach a certain value.