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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
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
This paper investigates the performance and characteristics of survivor stocks in the S&P 500 index. Using both in-sample and out-of-sample comparisons, survivor stocks outperformed this market index by a considerable margin. Relative to other S&P 500 index companies, survivor stocks tend to be...
Persistent link: https://www.econbiz.de/10012888297
Options paying the product of put and/or call option payouts at different strikes on two underlying assets are observed to synthesize joint densities and replicate differentiable functions of two underlying asset prices. The pricing of such options is undertaken from three perspectives. The...
Persistent link: https://www.econbiz.de/10012626539
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
It is argued that the growth in the breadth of option strikes traded after the financial crisis of 2008 poses difficulties for the use of Fourier inversion methodologies in volatility surface calibration. Continuous time Markov chain approximations are proposed as an alternative. They are shown...
Persistent link: https://www.econbiz.de/10012022144
This paper develops a fully-fledged statistical arbitrage strategy based on a mean-reverting jump-diffusion model and …
Persistent link: https://www.econbiz.de/10012022240
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
product ZS is a P-sigma-martingale. Existence of a P-sigma-martingale density is equivalent to a classic absence-of-arbitrage …
Persistent link: https://www.econbiz.de/10011296922