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Vasicek (1977)posits a General Mean-Reverting Form for the Short-Rate drt=k(θrt)dt+σdWtd r _ { t } = k \left( \theta - r _ { t } \right) d t + \sigma d W _ { t }

Question 13

Multiple Choice

Vasicek (1977) posits a general mean-reverting form for the short-rate: drt=k(θrt) dt+σdWtd r _ { t } = k \left( \theta - r _ { t } \right) d t + \sigma d W _ { t } He then derives,in the absence of arbitrage,a restriction on the market price of risk λ\lambda of any bond,where (μr) /η=λ( \mu - r ) / \eta = \lambda of any bond,with μ\mu being the instantaneous return on the bond,and η\eta being the bond's instantaneous volatility.The derived restriction is that


A) λ\lambda
Is a constant.
B) λ\lambda
May be a function of time
tt
,but not of any other time-
tt
Information or of the maturity
TT
Of the bond.
C) λ\lambda
May be a function of the time-
tt
Short rate
rtr _ { t }
,but not of current time
tt
Or of the bond maturity
TT
)
D) λ\lambda
May be a function of time
tt
And the time-
tt
Short rate
rtr _ { t }
,but not of the bond maturity
TT
)

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