WorksheetsTime Value of Money Quiz
Total questions: 51
Worksheet time: 26mins
Time value of money assumes that:
A dollar received today is worth less than a dollar received in the future
Risk and inflation are irrelevant in discounting
Timing of cash flows does not affect valuation
Investors prefer current consumption over future consumption
All cash flows are tax-free
Which of the following statements is correct?
The nominal rate equals the effective rate when interest is compounded more than once a year
The effective annual rate is always lower than the nominal rate
The EAR accounts for compounding, while the nominal rate does not
Nominal and effective rates are identical when interest is continuous
Nominal rates vary with the number of compounding periods
Holding all else constant, increasing the compounding frequency:
Decreases the effective annual rate
Has no effect on future value
Increases the effective annual rate
Lowers the nominal rate
Reduces both present and future values
Which of the following cash flow patterns is best valued using uneven cash flow analysis?
A fixed mortgage payment
A corporate bond's annual interest
Lottery payments that grow annually at 2%
A stream of dividends increasing at a constant rate
A start-up company's unpredictable yearly earnings
A financial timeline helps to:
Track tax liabilities
Represent cash flows graphically over time
Adjust inflation rates in present value calculations
Determine capital gains
Identify investment risks
The assumption made in annuity calculations is that:
Payments vary each period
Payments are made randomly
All payments are made at maturity
Payments are equal and occur at regular intervals
Interest rates fluctuate between periods
The discounting process involves:
Determining how much interest will accumulate on an investment
Calculating the maturity value of an annuity
Reducing future cash flows to their present value equivalents
Estimating taxes payable on investments
Adjusting present value for inflation only
If two investments offer the same cash flows, but one pays sooner, which has the higher present value?
The one with later payments
The one with more frequent payments
The one with higher interest
The one with earlier payments
Both have the same present value
Why is the future value of an annuity due higher than that of an ordinary annuity?
Annuity due has lower payments
Annuity due uses a lower interest rate
Payments in an annuity due earn interest for one additional period
Annuity due is discounted at a slower rate
Compounding is not applicable to annuity due
The future value of a lump sum increases as:
The discount rate decreases
The number of periods decreases
The interest rate increases
The cash flow becomes irregular
The investment is classified as a perpetuity
Which of the following does NOT affect the value of money over time?
Inflation
Risk
Timing of cash flows
Accounting methods
Interest rates
Why is EAR higher than the nominal rate when interest is compounded more than once per year?
Because taxes are deducted
Because interest is not reinvested
Because compounding generates interest on interest
Because nominal rates do not include inflation
Because cash flows are discounted daily
What happens to present value as the discount rate increases?
It increases
It decreases
It stays the same
It doubles
It becomes negative
A loan with equal periodic payments that fully repay principal and interest is known as:
An interest-only loan
A balloon loan
An amortized loan
A deferred annuity
A sinking fund loan
The process of finding a future value from a present value is called:
Discounting
Capitalizing
Compounding
Accrual
Depreciating
If a cash flow occurs midway through a year, how is it treated in TVM analysis?
Treated as a beginning-of-year cash flow
Ignored entirely
Requires adjustment to fractional periods
Requires converting to future value only
Compounded monthly by default
Which concept explains why a dollar today is worth more than a dollar tomorrow?
Opportunity cost
Sunk cost
Marginal cost
Break-even analysis
Accounting income
A stream of cash flows expected to grow at a constant rate forever is referred to as:
An ordinary annuity
A perpetuity
A growing perpetuity
A deferred annuity
A bond
TVM techniques are most relevant for:
Classifying income
Estimating depreciation
Comparing cash flows at different points in time
Preparing tax statements
Allocating overhead
If a bond makes semiannual payments, what adjustment must be made?
Multiply by 2
Add 6%
Use annual compounding instead
Divide by 2
Use the effective rate only
What is the primary assumption when using the same discount rate across periods?
Interest rates change each year
The time horizon is uncertain
The rate is constant and reflects opportunity cost
Payments are irregular
There is no reinvestment of cash flows
Which of the following reflects semiannual compounding for a nominal rate of 8%?
4% per 6 months
8% annually
0.66% monthly
16% annually
2% quarterly
What distinguishes a growing annuity from a regular annuity?
The payments are not equal
It lasts forever
Payments are made quarterly
Interest rate fluctuates
It starts after a delay
The opportunity cost of capital is most closely associated with:
Book value
Time value of money
Tax treatment of assets
Depreciation
Accounting accruals
Why use calculators/spreadsheets over formulas in TVM?
They are more accurate
They eliminate the time value concept
They remove the need for present value
They simplify repetitive and complex calculations
They avoid using interest rates
What is the future value of $3,000 invested for 5 years at a nominal annual rate of 8% compounded quarterly?
$4,406.62
$4,450.00
$4,489.60
$4,520.87
$4,603.11
What is the future value of $3,000 invested for 5 years at a nominal annual rate of 8% compounded quarterly?
$4,406.62
$4,450.00
$4,489.60
$4,520.87
$4,603.11
An investment pays $500 at the end of each year for 6 years. If the opportunity cost is 7%, what is the present value?
$2,737.29
$2,910.24
$2,654.13
$2,645.50
$2,782.94
The effective annual rate corresponding to a nominal rate of 12% compounded monthly is:
12.00%
12.55%
12.68%
12.72%
13.01%
What is the present value of $1,000 received at the end of 10 years if the discount rate is 9% compounded semiannually?
$422.41
$422.78
$424.10
$430.55
$435.60
Which of the following best describes an annuity due?
Equal payments made indefinitely
Equal payments made at irregular intervals
Equal payments made at the beginning of each period
A single lump sum payment at a future date
Payments that grow at a constant rate forever
A perpetuity pays $200 annually. If the required rate of return is 5%, what is its present value?
$2,000
$2,500
$3,000
$3,500
$4,000
You deposit $1,000 today in an account that pays 10% interest compounded annually. How long until the balance reaches $2,000?
6.93 years
7.27 years
7.54 years
7.90 years
8.12 years
An investment offers to triple your money in 12 years. What is the implied annual interest rate?
8.79%
9.56%
9.73%
10.12%
10.25%
You are offered an investment that pays $1,200 in year 1, $1,800 in year 2, and $2,500 in year 3. If the required return is 10%, what is the present value?
$4,757.39
$4,618.72
$4,424.86
$4,263.19
$4,172.21
The present value of an annuity due is always:
Lower than that of an ordinary annuity
Equal to the future value
Higher than that of an ordinary annuity
Independent of the timing of payments
Equal to the perpetuity value
Which of the following best describes the relationship between interest rates and present value?
As interest rates decrease, present value decreases
Interest rates have no effect on present value
Present value increases when interest rates increase
Present value and interest rates are inversely related
Present value is always greater than future value regardless of interest rate
The assumption underlying the concept of compound interest is:
Interest is reinvested at a rate higher than the original rate
Only the initial principal earns interest
Interest earned each period is reinvested and earns additional interest
No taxes are deducted from the interest earnings
Interest is only earned on the maturity value
The difference between an annuity due and an ordinary annuity lies in:
The length of the annuity term
The compounding frequency
When the payments are made
Whether the annuity includes a balloon payment
The currency in which payments are made
Which of the following would result in a lower present value, all else equal?
A shorter time horizon
A lower discount rate
More frequent compounding
Receiving the cash flows sooner
An annuity due instead of an ordinary annuity
Which of the following is NOT a characteristic of a perpetuity?
Constant payment size
Payments continue forever
Future value is infinite
Present value is undefined
Discount rate must be positive
Which of the following best explains why present value decreases as the number of periods increases (holding interest rate constant)?
Cash flows are taxed more over time
Later cash flows are more uncertain
More periods mean less compounding
Future cash flows are discounted over more periods
The future value increases faster than the present value
A financial analyst assumes annual compounding when valuing a project, but the actual cash flows occur quarterly. This will likely:
Overstate the present value
Understate the present value
Have no effect on valuation
Inflate the nominal rate
Create a higher perpetuity value
When comparing two annuities with the same total cash flow, the one with fewer, larger payments will have:
A lower present value
The same present value
A higher present value
A higher nominal rate
Lower effective duration
Continuous compounding leads to the highest future value because:
It assumes lower risk
Interest is calculated only once per year
Interest is earned on interest infinitely
It avoids taxes and fees
It applies a flat nominal rate
Which of the following scenarios would increase the present value of a growing perpetuity?
Increasing the discount rate
Decreasing the payment growth rate
Increasing the first cash flow
Lowering compounding frequency
Deferring the first payment
The key assumption of the constant growth perpetuity formula is that:
Interest rates increase over time
Payments remain fixed
Growth rate is greater than discount rate
Discount rate exceeds growth rate
Growth is irregular over time
A project has high cash flows in the distant future but low near-term returns. The present value is likely:
Very high due to total size
High because of time diversification
Low due to discounting over many periods
Equal to the future value
Higher than an annuity of equal total value
Which of the following reduces the future value of an investment, all else equal?
Increasing the number of periods
Compounding more frequently
Lowering the interest rate
Making payments at the beginning of the period
Reducing time between payments
If two investments offer the same present value, but one has higher periodic payments, then it must:
Be riskier
Have fewer payments
Have a lower interest rate
Be a perpetuity
Be compounded continuously
The internal rate of return (IRR) is most closely related to time value of money because it:
Compares returns to inflation
Measures present value as a percentage
Sets NPV to zero using discounting
Represents a nominal market rate
Ignores reinvestment assumptions
