Abstract
An important recent development in the asset pricing literature is an understanding of asset price bubbles. This chapter discusses these new insights. They are motivated by the First and Third Fundamental Theorems, which show that NFLVR only implies the existence of a local martingale measure and not a martingale measure. Asset price bubbles clarify the economic meaning of this difference.
References
R. Cont, P. Tankov, Financial Modelling with Jump Processes. Chapman & Hall/CRC Financial Mathematics Series (Chapman & Hall/CRC, New York, 2004)
H. Dengler, R. Jarrow, Option pricing using a binomial model with random time steps (a formal model of gamma hedging). Rev. Deriv. Res. 1, 107–138 (1997)
L. Eisenberg, R. Jarrow, Option pricing with random volatilities in complete markets. Rev. Quant. Finance Acc. 4, 5–17 (1994)
J. Jacod, P. Protter, Risk neutral compatibility with option prices. Finance Stoch. 14, 285–315 (2010)
R. Jarrow, Asset price bubbles. Annu. Rev. Financ. Econ. 7, 201–218 (2015)
R. Jarrow, P. Protter, The martingale theory of bubbles: implications for the valuation of derivatives and detecting bubbles, in The Financial Crisis: Debating the Origins, Outcomes, and Lessons of the Greatest Economic Event of Our Lifetime, ed. by A. Berd (Risk Publications, London, 2010)
R. Jarrow, P. Protter, K. Shimbo, Asset price bubbles in a complete market. Adv. Math. Finance 105–130 (2007). In Honor of Dilip B. Madan
R. Jarrow, P. Protter, K. Shimbo, Asset price bubbles in incomplete markets. Math. Finance 20(2), 145–185 (2010)
R. Jarrow, Y. Kchia, P. Protter, How to detect an asset bubble. SIAM J. Financ. Math. 2, 839–865 (2011)
P. Medvegyev, Stochastic Integration Theory (Oxford University Press, New York, 2009)
R.C. Merton, Theory of rational option pricing. Bell J. Econ. 4(1), 141–183 (1973)
P. Protter, Stochastic Integration and Differential Equations, 2nd edn., version 2.1 (Springer, Berlin, 2005)
P. Protter, A mathematical theory of financial bubbles. Working paper, Columbia University (2012)
P. Protter, Strict local martingales with jumps. Stoch. Process. Appl. 125, 1352–1367 (2015)
M. Schweizer, J. Wissel, Term structures of implied volatilities: absence of arbitrage and existence results. Math. Finance 18, 77–114 (2008)
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Jarrow, R.A. (2018). Asset Price Bubbles. In: Continuous-Time Asset Pricing Theory. Springer Finance(). Springer, Cham. https://doi.org/10.1007/978-3-319-77821-1_3
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DOI: https://doi.org/10.1007/978-3-319-77821-1_3
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