Submitted manuscript, 203 KB, PDF document
Research output: Working paper
Research output: Working paper
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TY - UNPB
T1 - Changes in risk and valuation of options
T2 - a unified approach to option pricing bounds
AU - Huang, James
PY - 2012
Y1 - 2012
N2 - In this paper we first prove a theorem which reveals how changes in risk affect option values. The theorem can be used to solve most problems in the theory of option pricing bounds with restrictions on probability distributions or risk preferences, given the prices of the underlying stock and multiple observed options. We then present analytical solutions to such problems subject to four interesting classes of probability distributions and four important classes of risk preferences, respectively.
AB - In this paper we first prove a theorem which reveals how changes in risk affect option values. The theorem can be used to solve most problems in the theory of option pricing bounds with restrictions on probability distributions or risk preferences, given the prices of the underlying stock and multiple observed options. We then present analytical solutions to such problems subject to four interesting classes of probability distributions and four important classes of risk preferences, respectively.
KW - option pricing
KW - changes in risk
KW - options pricing bounds
KW - unimodal distributions
KW - log-concave CDFs
KW - Stochastic dominance
KW - DARA
M3 - Working paper
BT - Changes in risk and valuation of options
PB - Lancaster University
CY - Lancaster
ER -