| Henderson, V. and D.G. Hobson; Substitute hedging, Risk Magazine, 15, 71-75, 2002. |
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Henderson, V. and D.G. Hobson; Substitute hedging, Risk Magazine, 15, 71-75, 2002.
No context found.
HENDERSON, V. and HOBSON D.G. : Substitute Hedging. Risk, 71-75, May 2002.
....the assumptions of the model do not allow the agent to follow the replicating strategy. In these cases any non attainable contingent claim carries risk, and any pricing rule makes implicit or explicit assumptions about utilities and preferences. The typical problem we have in mind (see [13] 2] [10], 11] is as follows. There are two assets, one of which is traded, but the second is not. Although the price processes for the assets may be driven by correlated Brownian motions the coecients of the dynamics for the traded asset do not depend on the untraded asset. An agent is due to receive a ....
....It follows that Assumptions 4. 2(i) and (ii) are satis ed and (w) 1= E [Z T (ln w ln Z T ) ln w T=2) We nd (x) exp( x T=2) Suppose the claim takes the form g = g(Y T ) Then the utility indi erence bid price for k units of the claim is given in Henderson and Hobson [10, 11] as (11) p b (k) 1 ln exp k (1 )g(Y T ) For g a non negative claim, and k 0, it follows form Jensen s inequality that p (k) k E [g(Y T ) Further, on di erentiation we nd k#0 E [g(Y T ) Hence e rT E [g(Y T ) which is independent of the risk ....
HENDERSON, V. and HOBSON D.G. : Substitute Hedging. Risk, 71-75, May 2002.
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