Variance Minimization And the Theory of Inflation Hedging

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Variance Minimization And the Theory of Inflation Hedging
Zvi Bodie
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The mln Lmnm-variance portfolio is in principle composed of all available securities. Assume that there are n + 1 such securities, with the n + Ist being nominal bonds. In part II of the paper we view the minimum variance portfolio as being composed of just two securities: the nominal bond and the portfolio of the other n securities, which we refer to as the optimal inflation-hedge security, or simply the hedge, security. Part II tries to relate the effectiveness and the cost of hedging to the
...parameters of Lhc joint probability distribution of the real returns on the two component securities.
-9- ParL III dc;als with the composition of the optimal inflation-hedge portfolio, while part IV tries to indicate how uncertainty about the parameters of the joint probability distribution of security returns affects one's ability to hedge against inflation. In part V we try to relate the theory of inflation hedging developed in the previous parts of the paper to modem portfolio theory, and specifically, to the capital asset pricing model.


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