Showing 1 - 10 of 81
Hedging down-and-out puts (and up-and-out calls), where the maximum payoff is reached just before a barrier is hit that … would render the claim worthless afterwards, is challenging. All hedging methods potentially lead to large errors when the …, we analyze this hedging situation, especially the case of overnight trading gaps. We show how a position in a short …
Persistent link: https://www.econbiz.de/10012813892
In this paper we introduce a deep learning method for pricing and hedging American-style options. It first computes a … estimate and confidence intervals. Finally, it constructs an approximate dynamic hedging strategy. We test the approach on … different specifications of a Bermudan max-call option. In all cases it produces highly accurate prices and dynamic hedging …
Persistent link: https://www.econbiz.de/10012309362
VaR (Value at Risk) and CVaR (Conditional Value at Risk) are implied by option prices. Their relationships to option prices are derived initially under the pricing measure. It does not require assumptions about the distribution of portfolio returns. The effects of changes of measure are modest...
Persistent link: https://www.econbiz.de/10011544027
Certain exotic options cannot be valued using closed-form solutions or even by numerical methods assuming constant volatility. Many exotics are priced in a local volatility framework. Pricing under local volatility has become a field of extensive research in finance, and various models are...
Persistent link: https://www.econbiz.de/10011552872
The main objective of this paper is to present an algorithm of pricing perpetual American put options with asset-dependent discounting. The value function of such an instrument can be described as VωAPut(s)=supτ∈TEs[e−∫0τω(Sw)dw(K−Sτ)+], where T is a family of stopping times, ω is...
Persistent link: https://www.econbiz.de/10012520043
This paper proposes a new method for pricing American options that uses importance sampling to reduce estimator bias and variance in simulation-and-regression based methods. Our suggested method uses regressions under the importance measure directly, instead of under the nominal measure as is...
Persistent link: https://www.econbiz.de/10012626320
Recently it was shown that the estimated American call prices obtained with regression and simulation based methods can be significantly improved on by using put-call symmetry. This paper extends these results and demonstrates that it is also possible to significantly reduce the variance of the...
Persistent link: https://www.econbiz.de/10012794352
This study introduces multiplayer game in the modern pension market. Particularly, this study claims that low earners and high earners have different interests when playing in funded pension market scheme. This differentiating is enabled by avoiding the entire society as a single earning cohort....
Persistent link: https://www.econbiz.de/10012795260
This paper proposes the sample path generation method for the stochastic volatility version of the CGMY process. We present the Monte-Carlo method for European and American option pricing with the sample path generation and calibrate model parameters to the American style S&P 100 index options...
Persistent link: https://www.econbiz.de/10012484130
This paper develops a test that helps assess whether the term structure of option implied volatility is constant across different levels of moneyness. The test is based on the Hausman principle of comparing two estimators, one that is efficient but not robust to the deviation being tested, and...
Persistent link: https://www.econbiz.de/10012388603