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Related papers: Option prices with call prices

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Advertising options have been recently studied as a special type of guaranteed contracts in online advertising, which are an alternative sales mechanism to real-time auctions. An advertising option is a contract which gives its buyer a…

Computer Science and Game Theory · Computer Science 2018-08-29 Bowei Chen , Mohan Kankanhalli

The variance gamma model is a widely popular model for option pricing in both academia and industry. In this paper, we provide a new perspective for pricing European style options for the variance gamma model by deriving closed-form…

Mathematical Finance · Quantitative Finance 2023-06-21 Yuanda Chen , Zailei Cheng , Haixu Wang

We derive new formulas for the price of the European call and put options in the Black-Scholes model, under the form of uniformly convergent series generalizing previously known approximations. We also provide precise boundaries for the…

Pricing of Securities · Quantitative Finance 2019-06-07 Jean-Philippe Aguilar

This article considers the pricing and hedging of a call option when liquidity matters, that is, either for a large nominal or for an illiquid underlying asset. In practice, as opposed to the classical assumptions of a price-taking agent in…

Trading and Market Microstructure · Quantitative Finance 2015-04-06 Olivier Guéant , Jiang Pu

We develop a model for indifference pricing in derivatives markets where price quotes have bid-ask spreads and finite quantities. The model quantifies the dependence of the prices and hedging portfolios on an investor's beliefs, risk…

Pricing of Securities · Quantitative Finance 2018-03-08 John Armstrong , Teemu Pennanen , Udomsak Rakwongwan

We derive the Black-Scholes-Merton dual equation, which has exactly the same form as the Black-Scholes-Merton equation. The novel and general equation works for options with a payoff of homogeneous of degree one, including European,…

Pricing of Securities · Quantitative Finance 2024-05-20 Shuxin Guo , Qiang Liu

We consider as given a discrete time financial market with a risky asset and options written on that asset and determine both the sub- and super-hedging prices of an American option in the model independent framework of ArXiv:1305.6008. We…

Probability · Mathematics 2015-04-07 Erhan Bayraktar , Yu-Jui Huang , Zhou Zhou

The general and special repo rates are related with the prices of the European call- and American put-options. The evaluation takes into account specific business models of the parties in the repo agreement and the law restrictions. Using…

Pricing of Securities · Quantitative Finance 2013-11-27 Andrei Kapaev

We revisit two classical problems: the determination of the law of the underlying with respect to a risk-neutral measure on the basis of option prices, and the pricing of options with convex payoffs in terms of prices of call options with…

Pricing of Securities · Quantitative Finance 2021-09-14 Carlo Marinelli

In this paper, a standard PDE for the pricing of arithmetic average strike Asian call option is presented. A Crank-Nicolson Implicit Method and a Higher Order Compact finite difference scheme for this pricing problem is derived. Both these…

Computational Finance · Quantitative Finance 2011-06-13 Abhishek Kumar , Ashwin Waikos , Siddhartha P. Chakrabarty

In this article, we study the rate of convergence of prices when a model is approximated by some simplified model. We also provide a method how explicit error formula for more general options can be obtained if such formula is available for…

Probability · Mathematics 2013-01-08 Lauri Viitasaari

We consider the problem of finding a consistent upper price bound for exotic options whose payoff depends on the stock price at two different predetermined time points (e.g. Asian option), given a finite number of observed call prices for…

Mathematical Finance · Quantitative Finance 2021-07-21 Nicole Bäuerle , Daniel Schmithals

In this paper we introduce a deep learning method for pricing and hedging American-style options. It first computes a candidate optimal stopping policy. From there it derives a lower bound for the price. Then it calculates an upper bound, a…

Computational Finance · Quantitative Finance 2021-03-23 Sebastian Becker , Patrick Cheridito , Arnulf Jentzen

This paper mainly discusses the American option's hedging strategies via binomialmodel and the basic idea of pricing and hedging American option. Although the essential scheme of hedging is almost the same as European option, small…

Computational Engineering, Finance, and Science · Computer Science 2007-11-28 Jinshan Zhang

We study the Option pricing with linear investment strategy based on discrete time trading of the underlying security, which unlike the existing continuous trading models provides a feasible real market implementation. Closed form formulas…

Applications · Statistics 2022-04-06 Niloofar Ghorbani , Andrzej Korzeniowski

A statistical decision problem is hidden in the core of option pricing. A simple form for the price C of a European call option is obtained via the minimum Bayes risk, R_B, of a 2-parameter estimation problem, thus justifying calling C…

Pricing of Securities · Quantitative Finance 2013-04-19 Yannis G. Yatracos

Spread options are a fundamental class of derivative contract written on multiple assets, and are widely used in a range of financial markets. There is a long history of approximation methods for computing such products, but as yet there is…

Computational Finance · Quantitative Finance 2009-02-23 T. R. Hurd , Zhuowei Zhou

We consider the problem of computing upper and lower bounds on the price of a European basket call option, given prices on other similar baskets. Although this problem is very hard to solve exactly in the general case, we show that in some…

Optimization and Control · Mathematics 2008-12-10 Alexandre d'Aspremont , Laurent El Ghaoui

In the papers Carmona and Durrleman [7] and Bjerksund and Stensland [1], closed form approximations for spread call option prices were studied under the log normal models. In this paper, we give an alternative closed form formula for the…

Mathematical Finance · Quantitative Finance 2024-02-02 Nuerxiati Abudurexiti , Kai He , Dongdong Hu , Hasanjan Sayit

In this paper we develop an algorithm to calculate the prices and Greeks of barrier options in a hyper-exponential additive model with piecewise constant parameters. We obtain an explicit semi-analytical expression for the first-passage…

Pricing of Securities · Quantitative Finance 2009-12-31 Marc Jeannin , Martijn Pistorius
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