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CFA Level 1
Quant methods
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Cards (48)
How are interest rates interpreted in finance?
As
required rates of return
and
opportunity costs
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What do equilibrium interest rates represent?
Required rate of return
for investments
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What is the relationship between interest rates and future payments?
Payments should be
discounted
at the interest rate
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What does the opportunity cost of current consumption refer to?
Forgone earnings
from saving instead of spending
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What is the real risk-free rate of interest?
Theoretical
rate with no
inflation
or
default
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What does the real rate of return indicate?
Increase in purchasing power after
inflation
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What are T-bill rates considered?
Nominal
risk-free rates
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What types of risks increase the required rate of return?
Default
,
liquidity
, and
maturity risks
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What is default risk?
Risk of
borrower
not making payments
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What is liquidity risk?
Risk of selling an
investment
for less value
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How does maturity risk affect bond prices?
Longer-term bonds are more
volatile
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How is the holding period return (HPR) calculated?
Percentage
increase in investment value
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If a stock is valued at €20, pays €1 in dividends, and ends at €22, what is the HPR?
15%
increase in value
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What does the HPR reflect over multiple periods?
Compounding of
returns
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What is the arithmetic mean return?
Simple average of
periodic returns
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How does the geometric mean return differ from the arithmetic mean?
Geometric mean is a
compound rate
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How do you calculate the geometric mean return for three annual periods?
Use the formula for
compound returns
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What is the relationship between the geometric mean and the arithmetic mean?
Geometric mean is
less
than arithmetic mean
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What is the harmonic mean used for?
Average cost
of shares purchased over time
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How do you calculate the average cost per share using the harmonic mean?
Use prices paid per share
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What happens when returns include negative numbers in harmonic mean calculations?
Use (1 + return) for each
period
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How do outliers affect measures of average return?
They can skew the results
significantly
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What is the appropriate use of the arithmetic mean?
Include all values, including
outliers
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What is the appropriate use of the geometric mean?
Compound the
rate of returns
over periods
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What is the appropriate use of the harmonic mean?
Calculate
average
share cost from purchases
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What is the appropriate use of trimmed or winsorized mean?
Decrease the effect of
outliers
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What does the money-weighted return apply to?
Internal rate of return
for portfolios
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What is the internal rate of return (IRR)?
Interest rate where
cash flows
sum to zero
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What is the relationship between IRR and NPV?
IRR is where NPV equals
zero
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What tools can be used to calculate IRR and NPV?
Financial calculators permitted by
CFA Institute
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What is the term for the interest rate after subtracting the inflation premium?
Real
interest
rate
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What is the harmonic mean of 3, 4, and 5?
3.83
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Which mean is most appropriate for calculating XYZ stock's annual return?
Geometric mean
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What are the differences between money-weighted and time-weighted rates of return?
Money-weighted: considers
cash flows
,
IRR
Time-weighted: measures compound growth, averages over time
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What does the money-weighted return apply to investment portfolios?
Internal rate of return (IRR)
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What is the net present value (NPV) when cash inflows and outflows sum to zero?
NPV is
zero
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What is the formula for calculating the money-weighted rate of return?
IRR
on a portfolio
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How do you enter cash flows into a financial calculator for money-weighted return?
Positive
for inflows,
negative
for outflows
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Why is the time-weighted rate of return preferred in investment management?
It removes distortions from
cash flow
timing
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What is the annual time-weighted rate of return based on the given example?
15.84%
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