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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
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
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
We develop a discrete-time stochastic volatility option pricing model, which exploits the information contained in high-frequency data. The Realized Volatility (RV) is used as a proxy of the unobservable log-returns volatility. We model its dynamics by a simple but effective (pseudo) long memory...
Persistent link: https://www.econbiz.de/10003973052
We model the dynamics of asset prices and associated derivatives by consideration of the dynamics of the conditional probability density process for the value of an asset at some specified time in the future. In the case where the asset is driven by Brownian motion, an associated "master...
Persistent link: https://www.econbiz.de/10008797695
propose a model that gives upper and lower bounds for option prices in the absence of arbitrage in an incomplete market with …
Persistent link: https://www.econbiz.de/10009375107
misvalued stocks are harder to arbitrage than less misvalued stocks …
Persistent link: https://www.econbiz.de/10009558395