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

Question 15

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Vasicek (1977) posits a general mean-reverting form for the short-rate: drt=κ(θrt) dt+σdWtd r _ { t } = \kappa \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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