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Which of the following is closest to the annualized yield volatility (250 trading days per year) if the daily yield volatility is equal to 0.6754%?
A)
10.68%.
B)
9.73%.
C)
168.85%.



Annualized yield volatility = σ ×
where:
σ = the daily yield volatility
So, annualized yield volatility = (0.6754%) = 10.68%.

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Suppose that the sample mean of 25 daily yield changes is 0.08%, and the sum of the squared deviations from the mean is 9.6464. Which of the following is the closest to the daily yield volatility?
A)
0.6340%.
B)
0.4019%.
C)
0.3859%.



Daily yield volatility is the standard deviation of the daily yield changes. The variance is obtained by dividing the sum of the squared deviations by the number of observations minus one. Therefore, we have:
Variance = 9.6464/(25 – 1) = 0.4019
Standard deviation = yield volatility = (0.4019)½ = 0.6340%

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Which of the following is closest to the annualized yield volatility (250 trading days per year) if the daily yield volatility is equal to 0.45%?
A)
7.12%.
B)
9.73%.
C)
112.50%.



Annualized yield volatility = σ ×
where:
σ = the daily yield volatility
So, annualized yield volatility = (0.45%) = 7.12%.

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Which of the following best describes key rate duration? Key rate duration is determined by:
A)
changing the curvature of the entire yield curve.
B)
changing the yield of a specific maturity.
C)
shifting the whole yield curve in a parallel manner.



Key rate duration can be defined as the approximate percentage change in the value of a bond or bond portfolio in response to a 100 basis point change in a key rate, holding all other rates constant, where every security or portfolio has a set of key rate durations, one for each key rate maturity point.

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What adjustment must be made to the key rate durations to measure the risk of a steepening of an already upward sloping yield curve?
A)
Increase all key rates by the same amount.
B)
Increase the key rates at the short end of the yield curve.
C)
Decrease the key rates at the short end of the yield curve.



Decreasing the key rates at the short end of the yield curve makes an upward sloping yield curve steeper. Performing the corresponding change in portfolio value will determine the risk of a steepening yield curve.

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The liquidity premium theory of the term structure of interest rates projects that the normal shape of the yield curve will be:
A)
upward sloping.
B)
variable.
C)
downward sloping.



The liquidity theory holds that investors demand a premium to compensate them to interest rate exposure and the premium increases with maturity. By itself, the liquidity theory implies an upward sloping yield curve.

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What are the implications for the shape of the yield curve according to the liquidity theory? The yield curve:
A)
must be upward sloping.
B)
is always flat.
C)
may have any shape.



The liquidity theory holds that investors demand a premium to compensate them to interest rate exposure and the premium increases with maturity. Even after adding the premium to a steep downward sloping yield curve the result will still be downward sloping.

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According to the pure expectations theory, which of the following statements is most accurate? Forward rates:
A)
exclusively represent expected future spot rates.
B)
are biased estimates of market expectations.
C)
always overestimate future spot rates.



The pure expectations theory, also referred to as the unbiased expectations theory, purports that forward rates are solely a function of expected future spot rates. Under the pure expectations theory, a yield curve that is upward (downward) sloping, means that short-term rates are expected to rise (fall). A flat yield curve implies that the market expects short-term rates to remain constant.

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If the liquidity preference hypothesis is true, what shape should the term structure curve have in a period where interest rates are expected to be constant?
A)
Downward sweeping.
B)
Flat.
C)
Upward sweeping.



The liquidity theory holds that investors demand a premium to compensate them for interest rate exposure and the premium increases with maturity. Add this premium to a flat curve and the result is an upward sloping yield curve.

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A portfolio manager who believed in the liquidity premium theory would expect:
A)
long-term securities to offer higher returns than short-term securities.
B)
long-term rates to be higher than investors’ expectations of future rates, because of the liquidity premium.
C)
all of the choices are correct.



The liquidity theory of the term structure proposes that forward rates reflect investors’ expectations of future rates plus a liquidity premium to compensate them for exposure to interest rate risk, and this liquidity premium is positively related to maturity. The implication of the liquidity theory is that forward rates, since they include a liquidity premium, are a biased estimate of the market’s expectation of future spot rates.

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