Please use this identifier to cite or link to this item: http://hdl.handle.net/10419/107853
Authors: 
Zhao, Lin
van Wijnbergen, Sweder
Year of Publication: 
2014
Series/Report no.: 
Tinbergen Institute Discussion Paper 14-149/VI
Abstract: 
We apply utility indifference pricing to solve a contingent claim problem, valuing a connected pair of gas fields where the underlying process is not standard Geometric Brownian motion and the assumption of complete markets is not fulfilled. First, empirical data are often characterized by time-varying volatility and fat tails; therefore we use Gaussian GAS (Generalized AutoRegressive Score) and GARCH models, extending them to Student's t-GARCH and t-GAS. Second, an important risk (reservoir size) is not hedgeable. Thus markets are incomplete which also makes preference free pricing impossible and thus standard option pricing inapplicable. Therefore we parametrize the investor's risk preference and use utility indifference pricing techniques. We use Lease Square Monte Carlo simulations as a dimension reduction technique. Moreover, an investor often only has an approximate idea of the true probabilistic model underlying variables, making model ambiguity a relevant problem. We show empirically how model ambiguity affects project values, and importantly, how option values change as model ambiguity gets resolved in later phases of the projects considered. We show that traditional valuation approaches will consistently underestimate the value of project flexibility and in general lead to overly conservative investment decisions in the presence of time dependent stochastic structures.
Subjects: 
real options
time varying volatility and fat tails
GAS models
model ambiguity
decision making in incomplete markets
utility indifference pricing
JEL: 
C61
D81
G01
G31
G34
Q40
Document Type: 
Working Paper

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