#1
1. What is the future value of $1,000 invested today at an annual interest rate of 5% for 3 years?
$1,157.63
ExplanationCompound interest calculation.
#2
9. How does an increase in the discount rate affect the present value of future cash flows?
Decreases present value
ExplanationInverse relationship with discount rate.
#3
15. In the time value of money context, what does the term 'time horizon' refer to?
The length of time an investment is held or the time until maturity
ExplanationDuration of an investment.
#4
20. What does the term 'compounding' refer to in the time value of money context?
Earning interest on both the initial principal and accumulated interest
ExplanationAccumulation of interest over time.
#5
24. How does an increase in the interest rate affect the present value of future cash flows?
Decreases present value
ExplanationInverse relationship with interest rates.
#6
2. Which formula is used to calculate the present value of a future cash flow?
PV = FV/(1 + r)^n
ExplanationPresent value calculation formula.
#7
3. What is the time value of money principle that suggests a dollar today is worth more than a dollar in the future?
Present Value
ExplanationConcept of present value.
#8
6. Which time value of money concept is used to determine the number of years it takes for an investment to double at a given interest rate?
Rule of 72
ExplanationRule to estimate doubling time.
#9
7. What does the term 'discounting' refer to in the context of time value of money?
Reducing future cash flows to their present value
ExplanationProcess of adjusting future cash flows.
#10
11. What is the key difference between simple interest and compound interest?
Simple interest is calculated only on the initial principal, while compound interest is calculated on both the principal and accumulated interest.
ExplanationDifference in interest calculation methods.
#11
13. What is the opportunity cost of money in the context of time value of money?
The cost of using money for a specific investment
ExplanationCost associated with choosing one investment over another.
#12
16. What is the relationship between interest rates and the present value of future cash flows?
Higher interest rates decrease present value
ExplanationInverse relationship with interest rates.
#13
18. What is the formula for calculating the future value of a single cash flow?
FV = PV * (1 + r)^n
ExplanationFuture value calculation formula.
#14
22. What is the key factor influencing the present value of future cash flows?
The length of time until the cash flows are received
ExplanationTiming of cash flows.
#15
23. In financial decision-making, what does the term 'opportunity cost' refer to?
The cost of using money for a specific investment
ExplanationCost of foregone alternatives.
#16
4. If the interest rate is 8%, what is the present value of $500 to be received in two years?
$453.70
ExplanationDiscounting future cash flows.
#17
5. How does compounding frequency affect the future value of an investment?
Higher compounding frequency leads to a higher future value.
ExplanationImpact of compounding frequency.
#18
8. In the context of time value of money, what is an annuity?
A series of equal periodic cash flows
ExplanationDefinition of an annuity.
#19
10. What is the formula for calculating the future value of a series of cash flows, known as an annuity?
FV = PMT * [(1 + r)^n - 1] / r
ExplanationFuture value of an annuity formula.
#20
12. What is the formula for calculating the present value of an annuity?
PV = PMT / r * [(1 - (1 + r)^(-n))]
ExplanationPresent value of an annuity formula.
#21
14. How does an increase in the number of compounding periods per year affect the effective annual interest rate (EAR)?
Increases EAR
ExplanationEffect of compounding frequency on EAR.
#22
17. How does the concept of time value of money impact investment decisions?
It suggests that all future cash flows should be discounted to their present value for accurate decision-making.
ExplanationImportance of considering present value in decisions.
#23
19. What is the primary purpose of discounting future cash flows in financial decision-making?
To decrease the value of future cash flows to their present value
ExplanationAdjusting future cash flows for comparison.
#24
21. How does the concept of time value of money relate to the risk associated with future cash flows?
It implies that the risk associated with future cash flows increases over time.
ExplanationRisk perception over time.
#25
25. What is the primary drawback of relying solely on the nominal interest rate when evaluating the time value of money?
It ignores the impact of inflation.
ExplanationOmission of inflationary effects.