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We propose a nonparametric Bayesian approach for the estimation of the pricing kernel. Historical stock returns and option market data are combined through the Dirichlet Process (DP) to construct an option-adjusted physical measure. The precision parameter of the DP process is calibrated to the...
Persistent link: https://www.econbiz.de/10011506354
We provide a new method to derive the state price density per unit probability based on option prices and GARCH model. We derive the risk neutral distribution using the result in Breeden and Litzenberger (1978) and the historical density adapting the GARCH model of Barone-Adesi, Engle, and...
Persistent link: https://www.econbiz.de/10003973040
Supported by empirical examples, this paper provides a theoretical analysis on the impacts of using a suboptimal information set for the estimation of the empirical pricing kernel and, more in general, for the validity of the fundamental theorems of asset pricing. While inferring the...
Persistent link: https://www.econbiz.de/10011506352
start from two simple, economically motivated axioms, namely absence of arbitrage (in the sense of NUPBR) and absence of … relative arbitrage among all buy-and-hold strategies (called static efficiency). A valuation process for a payoff is then … valuing by absence of arbitrage alone. We show that this always yields put-call parity, although put and call values …
Persistent link: https://www.econbiz.de/10011514353
without factors, but with a continuum of securities that have returns driven by a string. In this model, the arbitrage …
Persistent link: https://www.econbiz.de/10012421289
We develop a comprehensive mathematical framework for polynomial jump-diffusions in a semimartingale context, which nest affine jump-diffusions and have broad applications in finance. We show that the polynomial property is preserved under polynomial transformations and Lévy time change. We...
Persistent link: https://www.econbiz.de/10011874871
Market efficiency and the pricing kernel are closely related. A non-monotonic decreasing pricing kernel implies the existence of a trading strategy in contingent claims that stochastically dominates a direct investment in the market. Moreover, a market is assumed to be efficient only if no...
Persistent link: https://www.econbiz.de/10012179592
In a tractable stochastic volatility model, we identify the price of the smile as the price of the unspanned risks traded in SPX option markets. The price of the smile reflects two persistent volatility and skewness risks, which imply a downward sloping term structure of low-frequency variance...
Persistent link: https://www.econbiz.de/10011412294
developed and used for numerical studies. No-arbitrage conditions were also discussed …
Persistent link: https://www.econbiz.de/10009750653
A new class of risk measures called cash sub-additive risk measures is introduced to assess the risk of future financial, nonfinancial and insurance positions. The debated cash additive axiom is relaxed into the cash sub-additive axiom to preserve the original difference between the numeraire of...
Persistent link: https://www.econbiz.de/10003961489