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A One-Factor Bond Pricing Model Implies That Interest-Rates of All dr(T)=α(r(T),T)dt+σ(r(T),T)dW,Td r ( T ) = \alpha ( r ( T ) , T ) d t + \sigma ( r ( T ) , T ) d W , \quad \forall T

Question 2

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A one-factor bond pricing model implies that interest-rates of all maturities are driven by a single source of stochastic randomness. For example the system of interest rates may be described by the following equation: dr(T) =α(r(T) ,T) dt+σ(r(T) ,T) dW,Td r ( T ) = \alpha ( r ( T ) , T ) d t + \sigma ( r ( T ) , T ) d W , \quad \forall T where TT denotes the maturity of different rates. A single-factor model implies that


A) All rates either move up together or all move down together.
B) The yield curve experience parallel shifts.
C) Instantaneous changes in rates of all maturities are perfectly positively or negatively correlated with each other.
D) Twists in shape of the yield curve are not possible.

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