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- Anti-persistence (1)
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Articles 1 - 5 of 5
Full-Text Articles in Physical Sciences and Mathematics
Pricing And Hedging Index Options With A Dominant Constituent Stock, Helen Cheyne
Pricing And Hedging Index Options With A Dominant Constituent Stock, Helen Cheyne
Electronic Thesis and Dissertation Repository
In this paper, we examine the pricing and hedging of an index option where one constituents stock plays an overly dominant role in the index. Under a Geometric Brownian Motion assumption we compare the distribution of the relative value of the index if the dominant stock is modeled separately from the rest of the index, or not. The former is equivalent to the relative index value being distributed as the sum of two lognormal random variables and the latter is distributed as a single lognormal random variable. Since these are not equal in distribution, we compare the two models. The …
Modelling Credit Value Adjustment Using Defaultable Options Approach, Sidita Zhabjaku
Modelling Credit Value Adjustment Using Defaultable Options Approach, Sidita Zhabjaku
Electronic Thesis and Dissertation Repository
This thesis calculates Credit Value Adjustment on defaultable options. The prices of default- able European options are computed through analytical, quadrature approximation and Monte Carlo simulations under the assumption of a constant rate of default. Subsequently, we propose to inversely relate the company’s instantaneous rate of default to its underlying stock price, re- sulting in a non-constant rate of default. This allows for a new approach to estimate the default of company different from previous work where default is calculated through historical data. The rationale behind this idea relies on the fact that price of the stock plunges before the …
Seasonal Decomposition For Geographical Time Series Using Nonparametric Regression, Hyukjun Gweon
Seasonal Decomposition For Geographical Time Series Using Nonparametric Regression, Hyukjun Gweon
Electronic Thesis and Dissertation Repository
A time series often contains various systematic effects such as trends and seasonality. These different components can be determined and separated by decomposition methods. In this thesis, we discuss time series decomposition process using nonparametric regression. A method based on both loess and harmonic regression is suggested and an optimal model selection method is discussed. We then compare the process with seasonal-trend decomposition by loess STL (Cleveland, 1979). While STL works well when that proper parameters are used, the method we introduce is also competitive: it makes parameter choice more automatic and less complex. The decomposition process often requires that …
A New Diagnostic Test For Regression, Yun Shi
A New Diagnostic Test For Regression, Yun Shi
Electronic Thesis and Dissertation Repository
A new diagnostic test for regression and generalized linear models is discussed. The test is based on testing if the residuals are close together in the linear space of one of the covariates are correlated. This is a generalization of the famous problem of spurious correlation in time series regression. A full model building approach for the case of regression was developed in Mahdi (2011, Ph.D. Thesis, Western University, ”Diagnostic Checking, Time Series and Regression”) using an iterative generalized least squares algorithm. Simulation experiments were reported that demonstrate the validity and utility of this approach but no actual applications were …
Persistence And Anti-Persistence: Theory And Software, Justin Quinn Veenstra
Persistence And Anti-Persistence: Theory And Software, Justin Quinn Veenstra
Electronic Thesis and Dissertation Repository
Persistent and anti-persistent time series processes show what is called hyperbolic decay. Such series play an important role in the study of many diverse areas such as geophysics and financial economics. They are also of theoretical interest. Fractional Gaussian noise (FGN) and fractionally-differeneced white noise are two widely known examples of time series models with hyperbolic decay. New closed form expressions are obtained for the spectral density functions of these models. Two lesser known time series models exhibiting hyperbolic decay are introduced and their basic properties are derived. A new algorithm for approximate likelihood estimation of the models using frequency …