A Fast Fourier transform approach has been presented by Carr & Madan (2009) on a single underlying asset. In this current research paper, we present fast Fourier transform algorithm for the valuation of Multi-asse...A Fast Fourier transform approach has been presented by Carr & Madan (2009) on a single underlying asset. In this current research paper, we present fast Fourier transform algorithm for the valuation of Multi-asset Options under Economic Recession Induced Uncertainties. The issue of multi-dimension in both finite and infinite case of Options is part of the focus of this research. The notion of economic recession was incorporated. An intuition behind the introduction of recession induced volatility uncertainty is revealed by huge volatility variation during the period of economic recession compared to the period of recession-free. Nigeria economic recession outbreak in 2016 and its effects on the uncertainty of the payoffs of Nigeria Stocks Exchange (NSE) among other investments was among the motivating factors for proposing economic recession induced volatility in options pricing. The application of the proposed Fast Fourier Transform algorithm in handling multi-assets options was shown. A new result on options pricing was achieved and capable of yielding efficient option prices during and out of recession. Numerical results were presented on assets in 3-dimensions as an illustration taking Black Scholes prices as a bench mark for method effectiveness comparison. The key findings of this research paper among other crucial contributions could be seen in computational procedure of options valuation in multi-dimensions and uncertainties in options payoffs under the exposure of economic recession.展开更多
Solution of the system stochastic differential equations in multi dimensional case using Monte Carlo method had many useful features in compare with the other computational methods. One of them is the solution of boun...Solution of the system stochastic differential equations in multi dimensional case using Monte Carlo method had many useful features in compare with the other computational methods. One of them is the solution of boundary value problems to be found at just one point, if required (with associated saving in computation), whereas deterministic methods necessarily find the solution at large number of points simultaneously. This property can be particularly useful in problems such option pricing, where the value of an option is required only at the time of striking, and for the state of the market at that time. In this work we consider a European multi-asset options which mathematically described by the system of stochastic differential equations. We will apply Monte Carlo method for the solution of that system which is the price of Multi-asset rainbow options.展开更多
The paper is on toxic foreign exchange options problem which occurred in Poland just prior to and after the outbreak of the recent crisis. Especially Polish enterprises were severely stricken by transactions on fx and...The paper is on toxic foreign exchange options problem which occurred in Poland just prior to and after the outbreak of the recent crisis. Especially Polish enterprises were severely stricken by transactions on fx and interest rate derivatives contracted with their banks. Poland was the only EU country which did not precipitate into recession during the financial crisis beginning in 2008. However, the toxic fx and interest rate derivatives transmitted the shockwaves from global financial markets into Poland. Huge dimensions of losses resulted in conflicts between banks and their customers, who claimed just being cheated by the financial institutions. The article deeply researches into reasons for such developments on Polish fx over-the-counter derivatives market. As a case study, an authentic strategy has been presented. The contract was concluded between the construction company and one of the biggest commercial banks in Poland. Because the case study may be representative for many other cases, the analysis includes exact pricing of option strategy and therefore reveals inequality of the contract. The consequences of non-implementing the MiFID directive in the context of derivatives offering to non-financial customers were also touched in the paper.展开更多
The European and American call options, for which the prices of their underlying asset follow compound Poisson process, are evaluated by a probability method. Formulas that can be used to evaluate the options are obta...The European and American call options, for which the prices of their underlying asset follow compound Poisson process, are evaluated by a probability method. Formulas that can be used to evaluate the options are obtained, which include not only the elements of an option: the price of the call option, the exercise price and the expiration date, but also the riskless interest rate, nevertheless exclude the volatility of the underlying asset. In practice, the evaluated results obtained by these formulas can provide references of making strategic decision for an investor who buys the call option and a company who sells the call option.展开更多
Profitability ratios are a group of financial ratios that indicate how much profit a business is earning within a certain context, while asset utilization ratios indicate how efficient a business is in operating its a...Profitability ratios are a group of financial ratios that indicate how much profit a business is earning within a certain context, while asset utilization ratios indicate how efficient a business is in operating its assets to generate cash. The difference between profitability ratios and turnover ratios is the fact that turnovers are more specific. While profitability ratios measure overall performance in terms of profits, asset utilization ratios focus on specific measurements within the business) We conduct this study to verify the impact of turnover ratios on Jordanian services sectors' performance during the period from 2009 to 2012. The study showed that there is no significant impact of turnover ratios on Jordanian services sectors' profitability, and by testing the main and sub hypotheses, the study revealed that there is no significant impact of turnover ratios on Jordanian services sectors' return on assets (ROA), there is no significant impact of working capital turnover on Jordanian services sectors' ROA, there is no significant impact of total asset turnover on Jordanian services sectors' ROA, and there is no significant impact of fixed asset turnover on Jordanian services sectors' ROA. Also, the study showed that there is no significant impact of turnover ratios on Jordanian services sectors' return on equity (ROE), there is no significant impact of working capital turnover on Jordanian services sectors' ROE, there is no significant impact of total asset turnover on Jordanian services sectors' ROE, and there is no significant impact of fixed asset turnover on Jordanian services sectors' ROE. Moreover, the study concluded that the educational services sector has the lowest working capital turnover and healthcare services sector has the highest. In addition, we find that the hotels and tourism sector has the lowest total asset turnover ratio, while the utilities and energy sector has the highest and that the hotels and tourism sector has the lowest fixed asset turnover, while the utilities and energy sector has the highest. The transportation sector has the lowest ROA and technology and communication sector has the highest. Finally, we find that transportation sector has the lowest ROE and the technology and communication sector has the highest.展开更多
China and other emerging market economies hoM large amounts of US dollar (USD)-denominated assets while their enterprises mainly raise funds from domestic banks. These economies'currencies are under a constant pres...China and other emerging market economies hoM large amounts of US dollar (USD)-denominated assets while their enterprises mainly raise funds from domestic banks. These economies'currencies are under a constant pressure to appreciate. The authors of this paper apply the model used in Bernanke et al. (1999) to small open economies in order to find out the optimal exchange rate regime for the emerging market economies. Findings indicate that a country's choice of exchange rate regime is directly associated with its percentage of USD-denominated assets and the strength of the financial accelerator effect. A managedfloating rate regime is more desirable than afreefloating regime because of its ability to better avoid liquidity traps given appreciation pressure. A managed floating rate regime also outperforms a fixed exchange rate regime because the former tends to cause less welfare loss. These factors make a managed floating rate regime the optimal choice for emerging market economies. Lastly, the authors propose policy steps and suggestions based specifically on China's current situation.展开更多
Beijing Capital Agribusiness Group(hereinafter referred to as CAG),previously known as Beijing Municipal State Farm Administration,is an industry leader of strong brand competitiveness with 133 thousand hectares of st...Beijing Capital Agribusiness Group(hereinafter referred to as CAG),previously known as Beijing Municipal State Farm Administration,is an industry leader of strong brand competitiveness with 133 thousand hectares of state-owned land,40000 employees and a total asset of 50展开更多
This paper examines the existence of general equilibrium in a discrete time economy with the infinite horizon incomplete markets.There is a single good at each node in the event tree.The existence of general equilibri...This paper examines the existence of general equilibrium in a discrete time economy with the infinite horizon incomplete markets.There is a single good at each node in the event tree.The existence of general equilibrium for the infinite horizon economy is proved by taking limit of equilibria in truncated economies in which trade stops at a sequence of dates.展开更多
The t-distribution has a “fat tail” feature, which is more suitable than the normal probability density function to describe the distribution characteristics of return on assets. The difficulty of using t-distributi...The t-distribution has a “fat tail” feature, which is more suitable than the normal probability density function to describe the distribution characteristics of return on assets. The difficulty of using t-distribution to price European options is that a fat tail can lead to a deviation in one integral required for option pricing. We use a distribution called logarithmic truncated t-distribution to price European options. A risk neutral valuation method was used to obtain a European option pricing model with logarithmic truncated t-distribution.展开更多
The main objective of this article is to draw attention to the subject of portfolio management process, which is often not discussed in the professional literature. It has been shown that globalization affects the por...The main objective of this article is to draw attention to the subject of portfolio management process, which is often not discussed in the professional literature. It has been shown that globalization affects the portfolio management process, which is presented in the literature in a similar manner. Thus, in this publication, the presentation of the process was made in terms of the classical one, and then the attempt was made to establish its form after the evolution that results from the above mentioned globalization. In addition, this new form is presented from the perspective of the use of artificial neural networks as organizations which invest cash primarily in financial instruments should take into account the mentioned expert tool for the purpose of further development. The publication also shows the key areas which the professional literature focuses on with regards to the subject of portfolio management. The study used the literature from the area of portfolio management, which is the basis for theoretical consideration, but these results have got the cognitive and practical value. They are a basis for separate quantitative research, and the proposed portfolio management process model can be considered cognitively interesting for researchers and investors.展开更多
The main subject of this paper is the theory of financial statement valuations observed in its historical development. More notably, regarding the subject, the research is concerned with some theoretical concepts deve...The main subject of this paper is the theory of financial statement valuations observed in its historical development. More notably, regarding the subject, the research is concerned with some theoretical concepts developed by the Italian doctrine in a very specific age, namely, between the 19th and the 20th century, which in fact, devoid of any accounting regulation. This paper analyzes in particular the shift from the exchange value rule to the historical cost method and tries to explain the reasons of such a development. In the second half of the 19th century, some of the best Italian scholars, who were faced with the need to properly develop the problem of accounting valuations, thought that it was appropriate to rely on concepts that belonged to similar sciences, such as economics and real estate appraisal, by blindly borrowing the theory of value from the former and the theory of valuations from the latter. During that age, everything hinged around the concept of exchange value. At the dawn of the 20th century, the Italian accounting doctrine began to wonder about a subject that was crucial to the financial statement theory: the informative purposes underlying the financial statements. At the same time, the first principle took shape, which might be called as the "finalistic principle of value". It is still the basis of the theory of financial accounting measurements, for which different evaluative criteria must be applied to different informative purposes. Thus, an alternative criterion to that of the exchange value makes its appearance on the scene of the accounting valuations, notably the historical cost. The introduction of the historical cost criteria and above all the relinquishment of the combination of the "economic cost" in favor of that of the "manufacturing cost" allow the Italian accounting to get rid of the theories of economics and real estate appraisal, thus, becoming independent regarding the financial statement valuations.展开更多
We use an actuarial approach to estimate the valuation of the reload option for a non-tradable risk asset under the jump-diffusion processes and Hull-White interest rate. We verify the validity of the actuarial approa...We use an actuarial approach to estimate the valuation of the reload option for a non-tradable risk asset under the jump-diffusion processes and Hull-White interest rate. We verify the validity of the actuarial approach to the European vanilla option for non-tradable assets. The formulas of the actuarial approach to the reload option are derived from the fair premium principle and the obtained results are arbitrage. Numerical experiments are conducted to analyze the effects of different parameters on the results of valuation as well as their differences from those obtained by the no-arbitrage approach. Finally, we give the valuations of the reload options under different parameters.展开更多
This paper investigates the pricing of options written on non-traded assets and trading strategies for the stock and option in an exponential utility maximization framework.Under the assumption that the option can be ...This paper investigates the pricing of options written on non-traded assets and trading strategies for the stock and option in an exponential utility maximization framework.Under the assumption that the option can be continuously traded without friction just as the stock,a dynamic relationship between their optimal positions is derived by using the stochastic dynamic programming techniques.The dynamic option pricing equations are also established.In particular,the properties of the associated solutions are discussed and their explicit representations are demonstrated via the Feynman-Kac formula.This paper further compares the dynamic option price to the existing price notions,such as the marginal price and indifference price.展开更多
文摘A Fast Fourier transform approach has been presented by Carr & Madan (2009) on a single underlying asset. In this current research paper, we present fast Fourier transform algorithm for the valuation of Multi-asset Options under Economic Recession Induced Uncertainties. The issue of multi-dimension in both finite and infinite case of Options is part of the focus of this research. The notion of economic recession was incorporated. An intuition behind the introduction of recession induced volatility uncertainty is revealed by huge volatility variation during the period of economic recession compared to the period of recession-free. Nigeria economic recession outbreak in 2016 and its effects on the uncertainty of the payoffs of Nigeria Stocks Exchange (NSE) among other investments was among the motivating factors for proposing economic recession induced volatility in options pricing. The application of the proposed Fast Fourier Transform algorithm in handling multi-assets options was shown. A new result on options pricing was achieved and capable of yielding efficient option prices during and out of recession. Numerical results were presented on assets in 3-dimensions as an illustration taking Black Scholes prices as a bench mark for method effectiveness comparison. The key findings of this research paper among other crucial contributions could be seen in computational procedure of options valuation in multi-dimensions and uncertainties in options payoffs under the exposure of economic recession.
文摘Solution of the system stochastic differential equations in multi dimensional case using Monte Carlo method had many useful features in compare with the other computational methods. One of them is the solution of boundary value problems to be found at just one point, if required (with associated saving in computation), whereas deterministic methods necessarily find the solution at large number of points simultaneously. This property can be particularly useful in problems such option pricing, where the value of an option is required only at the time of striking, and for the state of the market at that time. In this work we consider a European multi-asset options which mathematically described by the system of stochastic differential equations. We will apply Monte Carlo method for the solution of that system which is the price of Multi-asset rainbow options.
文摘The paper is on toxic foreign exchange options problem which occurred in Poland just prior to and after the outbreak of the recent crisis. Especially Polish enterprises were severely stricken by transactions on fx and interest rate derivatives contracted with their banks. Poland was the only EU country which did not precipitate into recession during the financial crisis beginning in 2008. However, the toxic fx and interest rate derivatives transmitted the shockwaves from global financial markets into Poland. Huge dimensions of losses resulted in conflicts between banks and their customers, who claimed just being cheated by the financial institutions. The article deeply researches into reasons for such developments on Polish fx over-the-counter derivatives market. As a case study, an authentic strategy has been presented. The contract was concluded between the construction company and one of the biggest commercial banks in Poland. Because the case study may be representative for many other cases, the analysis includes exact pricing of option strategy and therefore reveals inequality of the contract. The consequences of non-implementing the MiFID directive in the context of derivatives offering to non-financial customers were also touched in the paper.
文摘The European and American call options, for which the prices of their underlying asset follow compound Poisson process, are evaluated by a probability method. Formulas that can be used to evaluate the options are obtained, which include not only the elements of an option: the price of the call option, the exercise price and the expiration date, but also the riskless interest rate, nevertheless exclude the volatility of the underlying asset. In practice, the evaluated results obtained by these formulas can provide references of making strategic decision for an investor who buys the call option and a company who sells the call option.
文摘Profitability ratios are a group of financial ratios that indicate how much profit a business is earning within a certain context, while asset utilization ratios indicate how efficient a business is in operating its assets to generate cash. The difference between profitability ratios and turnover ratios is the fact that turnovers are more specific. While profitability ratios measure overall performance in terms of profits, asset utilization ratios focus on specific measurements within the business) We conduct this study to verify the impact of turnover ratios on Jordanian services sectors' performance during the period from 2009 to 2012. The study showed that there is no significant impact of turnover ratios on Jordanian services sectors' profitability, and by testing the main and sub hypotheses, the study revealed that there is no significant impact of turnover ratios on Jordanian services sectors' return on assets (ROA), there is no significant impact of working capital turnover on Jordanian services sectors' ROA, there is no significant impact of total asset turnover on Jordanian services sectors' ROA, and there is no significant impact of fixed asset turnover on Jordanian services sectors' ROA. Also, the study showed that there is no significant impact of turnover ratios on Jordanian services sectors' return on equity (ROE), there is no significant impact of working capital turnover on Jordanian services sectors' ROE, there is no significant impact of total asset turnover on Jordanian services sectors' ROE, and there is no significant impact of fixed asset turnover on Jordanian services sectors' ROE. Moreover, the study concluded that the educational services sector has the lowest working capital turnover and healthcare services sector has the highest. In addition, we find that the hotels and tourism sector has the lowest total asset turnover ratio, while the utilities and energy sector has the highest and that the hotels and tourism sector has the lowest fixed asset turnover, while the utilities and energy sector has the highest. The transportation sector has the lowest ROA and technology and communication sector has the highest. Finally, we find that transportation sector has the lowest ROE and the technology and communication sector has the highest.
文摘China and other emerging market economies hoM large amounts of US dollar (USD)-denominated assets while their enterprises mainly raise funds from domestic banks. These economies'currencies are under a constant pressure to appreciate. The authors of this paper apply the model used in Bernanke et al. (1999) to small open economies in order to find out the optimal exchange rate regime for the emerging market economies. Findings indicate that a country's choice of exchange rate regime is directly associated with its percentage of USD-denominated assets and the strength of the financial accelerator effect. A managedfloating rate regime is more desirable than afreefloating regime because of its ability to better avoid liquidity traps given appreciation pressure. A managed floating rate regime also outperforms a fixed exchange rate regime because the former tends to cause less welfare loss. These factors make a managed floating rate regime the optimal choice for emerging market economies. Lastly, the authors propose policy steps and suggestions based specifically on China's current situation.
文摘Beijing Capital Agribusiness Group(hereinafter referred to as CAG),previously known as Beijing Municipal State Farm Administration,is an industry leader of strong brand competitiveness with 133 thousand hectares of state-owned land,40000 employees and a total asset of 50
基金This research was supported by a project of Financial MathematicsFinancial Engineering and Finan-cial Managementwhich is o
文摘This paper examines the existence of general equilibrium in a discrete time economy with the infinite horizon incomplete markets.There is a single good at each node in the event tree.The existence of general equilibrium for the infinite horizon economy is proved by taking limit of equilibria in truncated economies in which trade stops at a sequence of dates.
文摘The t-distribution has a “fat tail” feature, which is more suitable than the normal probability density function to describe the distribution characteristics of return on assets. The difficulty of using t-distribution to price European options is that a fat tail can lead to a deviation in one integral required for option pricing. We use a distribution called logarithmic truncated t-distribution to price European options. A risk neutral valuation method was used to obtain a European option pricing model with logarithmic truncated t-distribution.
文摘The main objective of this article is to draw attention to the subject of portfolio management process, which is often not discussed in the professional literature. It has been shown that globalization affects the portfolio management process, which is presented in the literature in a similar manner. Thus, in this publication, the presentation of the process was made in terms of the classical one, and then the attempt was made to establish its form after the evolution that results from the above mentioned globalization. In addition, this new form is presented from the perspective of the use of artificial neural networks as organizations which invest cash primarily in financial instruments should take into account the mentioned expert tool for the purpose of further development. The publication also shows the key areas which the professional literature focuses on with regards to the subject of portfolio management. The study used the literature from the area of portfolio management, which is the basis for theoretical consideration, but these results have got the cognitive and practical value. They are a basis for separate quantitative research, and the proposed portfolio management process model can be considered cognitively interesting for researchers and investors.
文摘The main subject of this paper is the theory of financial statement valuations observed in its historical development. More notably, regarding the subject, the research is concerned with some theoretical concepts developed by the Italian doctrine in a very specific age, namely, between the 19th and the 20th century, which in fact, devoid of any accounting regulation. This paper analyzes in particular the shift from the exchange value rule to the historical cost method and tries to explain the reasons of such a development. In the second half of the 19th century, some of the best Italian scholars, who were faced with the need to properly develop the problem of accounting valuations, thought that it was appropriate to rely on concepts that belonged to similar sciences, such as economics and real estate appraisal, by blindly borrowing the theory of value from the former and the theory of valuations from the latter. During that age, everything hinged around the concept of exchange value. At the dawn of the 20th century, the Italian accounting doctrine began to wonder about a subject that was crucial to the financial statement theory: the informative purposes underlying the financial statements. At the same time, the first principle took shape, which might be called as the "finalistic principle of value". It is still the basis of the theory of financial accounting measurements, for which different evaluative criteria must be applied to different informative purposes. Thus, an alternative criterion to that of the exchange value makes its appearance on the scene of the accounting valuations, notably the historical cost. The introduction of the historical cost criteria and above all the relinquishment of the combination of the "economic cost" in favor of that of the "manufacturing cost" allow the Italian accounting to get rid of the theories of economics and real estate appraisal, thus, becoming independent regarding the financial statement valuations.
基金Supported by the National Natural Science Foundation of China(No.11571365,11171349)
文摘We use an actuarial approach to estimate the valuation of the reload option for a non-tradable risk asset under the jump-diffusion processes and Hull-White interest rate. We verify the validity of the actuarial approach to the European vanilla option for non-tradable assets. The formulas of the actuarial approach to the reload option are derived from the fair premium principle and the obtained results are arbitrage. Numerical experiments are conducted to analyze the effects of different parameters on the results of valuation as well as their differences from those obtained by the no-arbitrage approach. Finally, we give the valuations of the reload options under different parameters.
基金supported by the National Basic Research Program of China(973 Program)under Grant No.2007CB814901the National Natural Science Foundation of China under Grant Nos.11101215 and 61304065the Program of Natural Science Research of Jiangsu Higher Education Institutions of China under GrantNo.12KJB110011
文摘This paper investigates the pricing of options written on non-traded assets and trading strategies for the stock and option in an exponential utility maximization framework.Under the assumption that the option can be continuously traded without friction just as the stock,a dynamic relationship between their optimal positions is derived by using the stochastic dynamic programming techniques.The dynamic option pricing equations are also established.In particular,the properties of the associated solutions are discussed and their explicit representations are demonstrated via the Feynman-Kac formula.This paper further compares the dynamic option price to the existing price notions,such as the marginal price and indifference price.