3,734 research outputs found
A lattice framework for pricing display advertisement options with the stochastic volatility underlying model
Advertisement (abbreviated ad) options are a recent development in online
advertising. Simply, an ad option is a first look contract in which a publisher
or search engine grants an advertiser a right but not obligation to enter into
transactions to purchase impressions or clicks from a specific ad slot at a
pre-specified price on a specific delivery date. Such a structure provides
advertisers with more flexibility of their guaranteed deliveries. The valuation
of ad options is an important topic and previous studies on ad options pricing
have been mostly restricted to the situations where the underlying prices
follow a geometric Brownian motion (GBM). This assumption is reasonable for
sponsored search; however, some studies have also indicated that it is not
valid for display advertising. In this paper, we address this issue by
employing a stochastic volatility (SV) model and discuss a lattice framework to
approximate the proposed SV model in option pricing. Our developments are
validated by experiments with real advertising data: (i) we find that the SV
model has a better fitness over the GBM model; (ii) we validate the proposed
lattice model via two sequential Monte Carlo simulation methods; (iii) we
demonstrate that advertisers are able to flexibly manage their guaranteed
deliveries by using the proposed options, and publishers can have an increased
revenue when some of their inventories are sold via ad options.Comment: Bowei Chen and Jun Wang. A lattice framework for pricing display
advertisement options with the stochastic volatility underlying model.
Electronic Commerce Research and Applications, 2015, Volume 14, Issue 6,
pages 465-479, ISSN: 1567-422
Modelling FX smile : from stochastic volatility to skewness
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An efficient lattice algorithm for the libor market model
The LIBOR Market Model (LMM or BGM) has become one of the most popular models for pricing interest rate products. It is commonly believed that Monte-Carlo simulation is the only viable method available for the LIBOR Market Model. In this article, however, we propose a lattice approach to price interest rate products within the LIBOR Market Model by introducing a shifted forward measure and several novel fast drift approximation methods. This model should achieve the best performance without losing much accuracy. Moreover, the calibration is almost automatic and it is simple and easy to implement. Adding this model to the valuation toolkit is actually quite useful; especially for risk management or in the case there is a need for a quick turnaround.LIBOR Market Model, LMM, BGM, lattice model, tree model, shifted forward measure, drift approximation, risk management, calibration, callable exotics, callable bond, callable capped floater swap, callable inverse floater swap, callable range accrual swap
On the efficient application of the repeated Richardson extrapolation technique to option pricing
Richardson extrapolation (RE) is a commonly used technique in financial applications for accelerating the convergence of numerical methods. Particularly in option pricing, it is possible to refine the results of several approaches by applying RE, in order to avoid the difficulties of employing slowly converging schemes. But the effectiveness of such a technique is fully achieved when its repeated version (RRE) is applied. Nevertheless, its application in financial literature is pretty rare. This is probably due to the necessity to pay special attention to the numerical aspects of its implementation, such as the choice of both the sequence of the stepsizes and the order of the method. In this contribution, we consider several numerical schemes for the valuation of American options and investigate the possibility of an appropriate application of RRE. As a result, we find that, in the analyzed approaches in which the convergence is monotonic, RRE can be used as an effective tool for improving significantly the accuracy.Richardson extrapolation, repeated Richardson extrapolation, American options, randomization technique, flexible binomial method
Hot new directions for quasi-Monte Carlo research in step with applications
This article provides an overview of some interfaces between the theory of
quasi-Monte Carlo (QMC) methods and applications. We summarize three QMC
theoretical settings: first order QMC methods in the unit cube and in
, and higher order QMC methods in the unit cube. One important
feature is that their error bounds can be independent of the dimension
under appropriate conditions on the function spaces. Another important feature
is that good parameters for these QMC methods can be obtained by fast efficient
algorithms even when is large. We outline three different applications and
explain how they can tap into the different QMC theory. We also discuss three
cost saving strategies that can be combined with QMC in these applications.
Many of these recent QMC theory and methods are developed not in isolation, but
in close connection with applications
Does patience pay? : empirical testing of the option to delay accepting a tender offer in the U.S. banking sector
We examine the empirical predictions of a real option-pricing model using a large sample of data on mergers and acquisitions in the U.S. banking sector. We provide estimates for the option value that the target bank has in waiting for a higher bid instead of accepting an initial tender offer. We find empirical support for a model that estimates the value of an option to wait in accepting an initial tender offer. Market prices reflect a premium for the option to wait to accept an offer that has a mean value of almost 12.5% for a sample of 424 mergers and acquisitions between 1997 and 2005 in the U.S. banking industry. Regression analysis reveals that the option price is related to both the price to book market and the free cash flow of target banks. We conclude that it is certainly in the shareholders best interest if subsequent offers are awaited. JEL Classification: G34, C1
An analysis of spending behaviour under liquidity constraints with an application to financial hedging
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