Pub Date : 2023-04-15DOI: 10.11113/matematika.v39.n1.1447
A. A. Gwani, S. Sek
Prior research has explored the influence of renewable consumption on economic growth and carbon emissions (CO2), but few studies have examined the impact of both renewable energy consumption (REC) and renewable energy production (REP) on economic growth and CO2 emissions in Africa. The objective of this work is to dynamically estimate the effects of both REC and REP on economic growth and CO2 emissions in Africa, based on empirical evidence and using a data set from the years 1965 to 2020. This research aims to determine how REC and REP affect the economies and ecosystems of Africa. The Error Correction Models (ECMs) were utilized in the analysis, focusing on howREP and REC influence economic growth and environmental carbon dioxide emissions (CO2). Vector Error Correction Models (VECM) and Johansen cointegration methods were used on the data set. The results demonstrated that economic forces existed between the variables and that there was a long run equilibrium relationship between GDP and CO2 emissions in Africa, from REC to REP. Additionally, the outcomes showed that both REC and REP slowed down environmental deterioration while promoting economic growth. Africa can lower the negative impacts of environmental pollution caused by the consumption of nonrenewable energy sources by adopting and aggressively promoting renewable energy production and utilization.
{"title":"Dynamic modelling of Renewable Energy Consumption and Production on African Economic Growth and the Environment Using Vector Error Correction Models","authors":"A. A. Gwani, S. Sek","doi":"10.11113/matematika.v39.n1.1447","DOIUrl":"https://doi.org/10.11113/matematika.v39.n1.1447","url":null,"abstract":"Prior research has explored the influence of renewable consumption on economic growth and carbon emissions (CO2), but few studies have examined the impact of both renewable energy consumption (REC) and renewable energy production (REP) on economic growth and CO2 emissions in Africa. The objective of this work is to dynamically estimate the effects of both REC and REP on economic growth and CO2 emissions in Africa, based on empirical evidence and using a data set from the years 1965 to 2020. This research aims to determine how REC and REP affect the economies and ecosystems of Africa. The Error Correction Models (ECMs) were utilized in the analysis, focusing on howREP and REC influence economic growth and environmental carbon dioxide emissions (CO2). Vector Error Correction Models (VECM) and Johansen cointegration methods were used on the data set. The results demonstrated that economic forces existed between the variables and that there was a long run equilibrium relationship between GDP and CO2 emissions in Africa, from REC to REP. Additionally, the outcomes showed that both REC and REP slowed down environmental deterioration while promoting economic growth. Africa can lower the negative impacts of environmental pollution caused by the consumption of nonrenewable energy sources by adopting and aggressively promoting renewable energy production and utilization.","PeriodicalId":43733,"journal":{"name":"Matematika","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46494534","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-04-15DOI: 10.11113/matematika.v39.n1.1448
Nur Nadiah Mohd Rahan, Nur Nadiah Abd Hamid
Extended cubic B-spline collocation method is formulated to solve the Benjamin-Bona-Mahony equation without linearization. The Besse relaxation scheme is applied on the nonlinear terms and therefore transforms the equation into a systemof two linear equations. The time derivative is discretized using Forward Difference Approximation whereas the spatial dimension is approximated using extended cubic B-spline function. Applying the von-Neumann stability analysis, the proposed technique are shown unconditionally stable. Two numerical examples are presented and the results are compared with the exact solutions and recent methods.
{"title":"Besse Extended Cubic B-spline Collocation Method for Solving Benjamin-Bona-Mahony Equation","authors":"Nur Nadiah Mohd Rahan, Nur Nadiah Abd Hamid","doi":"10.11113/matematika.v39.n1.1448","DOIUrl":"https://doi.org/10.11113/matematika.v39.n1.1448","url":null,"abstract":"Extended cubic B-spline collocation method is formulated to solve the Benjamin-Bona-Mahony equation without linearization. The Besse relaxation scheme is applied on the nonlinear terms and therefore transforms the equation into a systemof two linear equations. The time derivative is discretized using Forward Difference Approximation whereas the spatial dimension is approximated using extended cubic B-spline function. Applying the von-Neumann stability analysis, the proposed technique are shown unconditionally stable. Two numerical examples are presented and the results are compared with the exact solutions and recent methods.","PeriodicalId":43733,"journal":{"name":"Matematika","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48450422","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-03-27DOI: 10.11113/matematika.v39.n1.1437
M. A. Khan
Given A, B, C, and D, block Toeplitz matrices, we will prove the necessary and sufficient condition for AB - CD = 0, and AB - CD to be a block Toeplitz matrix. In addition, with respect to change of basis, the characterization of normal block Toeplitz matrices with entries from the algebra of diagonal matrices is also obtained.
{"title":"Block Toeplitz Matrices: Multiplicative Properties","authors":"M. A. Khan","doi":"10.11113/matematika.v39.n1.1437","DOIUrl":"https://doi.org/10.11113/matematika.v39.n1.1437","url":null,"abstract":"Given A, B, C, and D, block Toeplitz matrices, we will prove the necessary and sufficient condition for AB - CD = 0, and AB - CD to be a block Toeplitz matrix. In addition, with respect to change of basis, the characterization of normal block Toeplitz matrices with entries from the algebra of diagonal matrices is also obtained.","PeriodicalId":43733,"journal":{"name":"Matematika","volume":"1 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44423167","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-05-31DOI: 10.29313/jmtm.v19i1.6312
Andi Pujo Rahadi
Sistem suspensi mobil yang terdiri hanya dari pegas dan redaman merupakan sistem pasif sebab tidak menyediakan energi aktif untuk melawan gangguan profil jalan. Untuk mendapatkan kenyamanan dan keamanan berkendara yang lebih baik, ditanamkan sistem suspensi aktif pada mobil. Sistem suspensi aktif dilengkapi sensor dan komponen aktuator gaya yang menyediakan energi aktif dengan skema kendali tertentu. Penelitian ini bertujuan membangun sistem suspensi aktif menggunakan kendali mode luncur ( sliding mode control / SMC ). Simulasi sistem kendali dilakukan menggunakan MATLAB 2014, membandingkan performa sistem pasif, sistem aktif Linear Kuadratik (LQR), dengan sistem aktif Kendali Mode Luncur (SMC). Berdasarkan hasil simulasi, sistem aktif SMC mencapai kondisi stabil lebih cepat dan menggunakan gaya aktif lebih rendah. Dengan demikian, sistem SMC memiliki performa terbaik dibandingkan dengan dua sistem yang lain. Penelitian ini dapat dilanjutkan dengan membangun prototype suspensi dengan sistem kendali SMC. Kata Kunci: Sistem Suspensi Aktif, Kendali Mode Luncur, Simulasi MATLAB .
{"title":"Kendali Mode Luncur Pada Sistem Suspensi Aktif Dengan Simulasi MATLAB","authors":"Andi Pujo Rahadi","doi":"10.29313/jmtm.v19i1.6312","DOIUrl":"https://doi.org/10.29313/jmtm.v19i1.6312","url":null,"abstract":"Sistem suspensi mobil yang terdiri hanya dari pegas dan redaman merupakan sistem pasif sebab tidak menyediakan energi aktif untuk melawan gangguan profil jalan. Untuk mendapatkan kenyamanan dan keamanan berkendara yang lebih baik, ditanamkan sistem suspensi aktif pada mobil. Sistem suspensi aktif dilengkapi sensor dan komponen aktuator gaya yang menyediakan energi aktif dengan skema kendali tertentu. Penelitian ini bertujuan membangun sistem suspensi aktif menggunakan kendali mode luncur ( sliding mode control / SMC ). Simulasi sistem kendali dilakukan menggunakan MATLAB 2014, membandingkan performa sistem pasif, sistem aktif Linear Kuadratik (LQR), dengan sistem aktif Kendali Mode Luncur (SMC). Berdasarkan hasil simulasi, sistem aktif SMC mencapai kondisi stabil lebih cepat dan menggunakan gaya aktif lebih rendah. Dengan demikian, sistem SMC memiliki performa terbaik dibandingkan dengan dua sistem yang lain. Penelitian ini dapat dilanjutkan dengan membangun prototype suspensi dengan sistem kendali SMC. Kata Kunci: Sistem Suspensi Aktif, Kendali Mode Luncur, Simulasi MATLAB .","PeriodicalId":43733,"journal":{"name":"Matematika","volume":"1 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2020-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44824867","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-03-31DOI: 10.11113/matematika.v36.n1.1181
N. Harudin, K. R. Jamaludin, F. Ramlie, M. N. Muhtazaruddin, Che Munira Che Razali, W. Z. A. Wan Muhamad
Prediction analysis has drawn significant interest in numerous field. Taguchi’s T-Method is a prediction tool that developed practically but not limited to small sample analysis. It was developed explicitly for multidimensional system prediction by relying on historical data as the baseline model and adapting the signal to noise ratio (SNR) as well as zero proportional concepts in strengthening its robustness. Orthogonal array (OA) in T-Method is a variable selection optimization technique in improving the prediction accuracy as well as help in eliminating variables that may deteriorate the overall performance. However, the limitation of OA in dealing with higher multidimensionality restraint the optimization accuracy. Binary particle swarm optimization used in this study helps to cater to the limitation of OA as well as optimizing the variable selection process to better prediction accuracy. The results show that if the historical data consist of samples with higher correlation of determination (R2) value for the model creation, the optimization process in reducing the number of variables would be much reliable and accurate. Comparing between T-Method+OA and T-Method+BPSO in four different case study, it shows that T-Method+BPSO performing better with greater R2 and means relative error (MRE) value compared to T-Method+OA.
{"title":"Binary particle swarm optimization for variables selection optimization in Taguchi’s T-Method","authors":"N. Harudin, K. R. Jamaludin, F. Ramlie, M. N. Muhtazaruddin, Che Munira Che Razali, W. Z. A. Wan Muhamad","doi":"10.11113/matematika.v36.n1.1181","DOIUrl":"https://doi.org/10.11113/matematika.v36.n1.1181","url":null,"abstract":"Prediction analysis has drawn significant interest in numerous field. Taguchi’s T-Method is a prediction tool that developed practically but not limited to small sample analysis. It was developed explicitly for multidimensional system prediction by relying on historical data as the baseline model and adapting the signal to noise ratio (SNR) as well as zero proportional concepts in strengthening its robustness. Orthogonal array (OA) in T-Method is a variable selection optimization technique in improving the prediction accuracy as well as help in eliminating variables that may deteriorate the overall performance. However, the limitation of OA in dealing with higher multidimensionality restraint the optimization accuracy. Binary particle swarm optimization used in this study helps to cater to the limitation of OA as well as optimizing the variable selection process to better prediction accuracy. The results show that if the historical data consist of samples with higher correlation of determination (R2) value for the model creation, the optimization process in reducing the number of variables would be much reliable and accurate. Comparing between T-Method+OA and T-Method+BPSO in four different case study, it shows that T-Method+BPSO performing better with greater R2 and means relative error (MRE) value compared to T-Method+OA.","PeriodicalId":43733,"journal":{"name":"Matematika","volume":"1 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2020-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"63543628","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-12-31DOI: 10.11113/matematika.v35.n4.1269
A. Abidemi, Rohanin Ahmad, N. Aziz
This study presents a two-strain deterministic model which incorporates Dengvaxia vaccine and insecticide (adulticide) control strategies to forecast the dynamics of transmission and control of dengue in Madeira Island if there is a new outbreak with a different virus serotypes after the first outbreak in 2012. We construct suitable Lyapunov functions to investigate the global stability of the disease-free and boundary equilibrium points. Qualitative analysis of the model which incorporates time-varying controls with the specific goal of minimizing dengue disease transmission and the costs related to the control implementation by employing the optimal control theory is carried out. Three strategies, namely the use of Dengvaxia vaccine only, application of adulticide only, and the combination of Dengvaxia vaccine and adulticide are considered for the controls implementation. The necessary conditions are derived for the optimal control of dengue. We examine the impacts of the control strategies on the dynamics of infected humans and mosquito population by simulating the optimality system. The disease-freeequilibrium is found to be globally asymptotically stable whenever the basic reproduction numbers associated with virus serotypes 1 and j (j 2 {2, 3, 4}), respectively, satisfy R01,R0j 1, and the boundary equilibrium is globally asymptotically stable when the related R0i (i = 1, j) is above one. It is shown that the strategy based on the combination of Dengvaxia vaccine and adulticide helps in an effective control of dengue spread in the Island.
本研究提出了一种结合登瓦夏疫苗和杀虫剂(杀虫剂)控制策略的双株确定性模型，用于预测马德拉岛登革热在2012年首次暴发后如果出现不同病毒血清型的新暴发，登革热的传播和控制动态。构造合适的Lyapunov函数来研究无病平衡点和边界平衡点的全局稳定性。采用最优控制理论，对以登革热传播最小化为具体目标的时变控制模型和控制实施成本进行了定性分析。为实施控制，考虑了三种策略，即仅使用登瓦夏疫苗、仅使用杀虫剂以及登瓦夏疫苗和杀虫剂联合使用。导出了登革热最优控制的必要条件。我们通过模拟最优系统来研究控制策略对感染者和蚊子种群动态的影响。当与病毒血清型1和j (j 2{2,3,4})相关的基本繁殖数分别满足R01和R0j 1时，无病平衡点是全局渐近稳定的;当相关R0i (i = 1, j)大于1时，边界平衡点是全局渐近稳定的。结果表明，以登卡夏疫苗和杀虫剂相结合为基础的战略有助于有效控制登革热在该岛的传播。
{"title":"Global Stability and Optimal Control of Dengue with Two Coexisting Virus Serotypes","authors":"A. Abidemi, Rohanin Ahmad, N. Aziz","doi":"10.11113/matematika.v35.n4.1269","DOIUrl":"https://doi.org/10.11113/matematika.v35.n4.1269","url":null,"abstract":"This study presents a two-strain deterministic model which incorporates Dengvaxia vaccine and insecticide (adulticide) control strategies to forecast the dynamics of transmission and control of dengue in Madeira Island if there is a new outbreak with a different virus serotypes after the first outbreak in 2012. We construct suitable Lyapunov functions to investigate the global stability of the disease-free and boundary equilibrium points. Qualitative analysis of the model which incorporates time-varying controls with the specific goal of minimizing dengue disease transmission and the costs related to the control implementation by employing the optimal control theory is carried out. Three strategies, namely the use of Dengvaxia vaccine only, application of adulticide only, and the combination of Dengvaxia vaccine and adulticide are considered for the controls implementation. The necessary conditions are derived for the optimal control of dengue. We examine the impacts of the control strategies on the dynamics of infected humans and mosquito population by simulating the optimality system. The disease-freeequilibrium is found to be globally asymptotically stable whenever the basic reproduction numbers associated with virus serotypes 1 and j (j 2 {2, 3, 4}), respectively, satisfy R01,R0j 1, and the boundary equilibrium is globally asymptotically stable when the related R0i (i = 1, j) is above one. It is shown that the strategy based on the combination of Dengvaxia vaccine and adulticide helps in an effective control of dengue spread in the Island.","PeriodicalId":43733,"journal":{"name":"Matematika","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2019-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44642929","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-12-31DOI: 10.11113/matematika.v35.n4.1265
Khang Yi Sim, S. Sek
The effect of oil shock on the global economy is evident through many studies. However, the effect is heterogeneous over time. One of the reasons that lead to such different impacts is due to the oil source that is either the oil shock is demand or supply-driven. Applying the structural vector autoregressive (SVAR) model to generate the three oil shocks based on the three oil sources (oil supply, oil demand and oil specific-demand), we extended the examination on the effect of oil shock on the global economy using the threshold regression. Our results reveal the threshold effects of oil directly and indirectly on the global economy. The impacts of oil shocks differ across sectors, implying oil intensity, as well as oil sources, are the factors that determine the impact of oil shocks on the global economy. Overall, the oil specific-demand shock is more influential among the three oil shocks. Hence, the global economy is oil demand-driven. Besides that, the impact of oil is relatively large in the energy sector when compared to the non-energysector and precious metals industry. Despite that, the impact of oil shocks is small if compared to the non-oil shocks such as exchange rate changes and global consumer price inflation shock. Consequently, non-oil shocks are the main determinants of the global economic fluctuation. The study leads to a better understanding of the transmission of oil shock and its sources, the interaction between oil and economic indicators and the policy implication due to oil dependency/ intensity.
{"title":"Distinguishing the Effect of Oil Shocks on the Global Economy: A Threshold Regression Approach","authors":"Khang Yi Sim, S. Sek","doi":"10.11113/matematika.v35.n4.1265","DOIUrl":"https://doi.org/10.11113/matematika.v35.n4.1265","url":null,"abstract":"The effect of oil shock on the global economy is evident through many studies. However, the effect is heterogeneous over time. One of the reasons that lead to such different impacts is due to the oil source that is either the oil shock is demand or supply-driven. Applying the structural vector autoregressive (SVAR) model to generate the three oil shocks based on the three oil sources (oil supply, oil demand and oil specific-demand), we extended the examination on the effect of oil shock on the global economy using the threshold regression. Our results reveal the threshold effects of oil directly and indirectly on the global economy. The impacts of oil shocks differ across sectors, implying oil intensity, as well as oil sources, are the factors that determine the impact of oil shocks on the global economy. Overall, the oil specific-demand shock is more influential among the three oil shocks. Hence, the global economy is oil demand-driven. Besides that, the impact of oil is relatively large in the energy sector when compared to the non-energysector and precious metals industry. Despite that, the impact of oil shocks is small if compared to the non-oil shocks such as exchange rate changes and global consumer price inflation shock. Consequently, non-oil shocks are the main determinants of the global economic fluctuation. The study leads to a better understanding of the transmission of oil shock and its sources, the interaction between oil and economic indicators and the policy implication due to oil dependency/ intensity.","PeriodicalId":43733,"journal":{"name":"Matematika","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2019-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42391866","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-12-01DOI: 10.11113/matematika.v35.n3.1105
Muhammad Fadhil Marsani, A. Shabri
This journal renders the random walk behaviour of the Malaysian daily share return, through tests of efficient market hypothesis (EMH) based on three different financial periods, namely growth, financial crisis, and recovery period. This review also covers the behaviour of extreme return for weekly and monthly series generated from Block maxima-minima method. Autocorrelation Function test (ACF) and Ljung-Box test had been employed to measure average correlation between observations, while Augmented Dickey-Fuller (ADF), Phillips-Perron (PP), Kwiatkowski Phillips Schmidt Shin (KPSS) test had been used to scan the unit root and the stationarity. Multiple variance ratio tests had also been conducted to examine the random walk behaviour. Serial correlation test indicated that the movement of daily return during the financial crisis period was weak-form efficiency. The unit root and stationary tests suggested that each daily series was stationary, but trend stationary for extreme cases. Variance ratio tests indicated that the return during the recovery period was weak-form inefficiency due to the short lag autocorrelation in series.
{"title":"Random Walk Behaviour of Malaysia Share Return in Different Economic Circumstance","authors":"Muhammad Fadhil Marsani, A. Shabri","doi":"10.11113/matematika.v35.n3.1105","DOIUrl":"https://doi.org/10.11113/matematika.v35.n3.1105","url":null,"abstract":"This journal renders the random walk behaviour of the Malaysian daily share return, through tests of efficient market hypothesis (EMH) based on three different financial periods, namely growth, financial crisis, and recovery period. This review also covers the behaviour of extreme return for weekly and monthly series generated from Block maxima-minima method. Autocorrelation Function test (ACF) and Ljung-Box test had been employed to measure average correlation between observations, while Augmented Dickey-Fuller (ADF), Phillips-Perron (PP), Kwiatkowski Phillips Schmidt Shin (KPSS) test had been used to scan the unit root and the stationarity. Multiple variance ratio tests had also been conducted to examine the random walk behaviour. Serial correlation test indicated that the movement of daily return during the financial crisis period was weak-form efficiency. The unit root and stationary tests suggested that each daily series was stationary, but trend stationary for extreme cases. Variance ratio tests indicated that the return during the recovery period was weak-form inefficiency due to the short lag autocorrelation in series.","PeriodicalId":43733,"journal":{"name":"Matematika","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41581410","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-11-30DOI: 10.29313/jmtm.v18i2.5138
R. F. Suwarman
Abstract. Real options are one of the most interesting research topics in Finance since 1977 Stewart C. Myers from MIT Sloan School of Management published his pioneering article on this subject in the Journal of Financial Economics. Real options are techniques for supporting capital budgeting decisions that adapt techniques developed for financial securities options. The purpose of using this real option is to capture the options contained in projects that cannot be captured by the discounted cash flow model which operates as a basic framework for almost all financial analyzes. The process of valuing real options will be complemented by the stochastic interest rate and stochastic volatility to better capture the flexibility and volatility of the existing economic and financial situation. The valuation will use a Monte Carlo simulation with the MATLAB programming language on crude oil data from the North Sea oil field. Data were obtained from the thesis of Charlie Grafström and Leo Lundquist with the title "Real Option Valuation vs. DCF Evaluation – An Application to a North Sea oilfield".Keyword: real options, stochastic interest rate model, stochastic volatility model, simulation
摘要自1977年麻省理工学院斯隆管理学院的Stewart C. Myers在《金融经济学杂志》上发表了关于实物期权的开创性文章以来，实物期权一直是金融领域最有趣的研究课题之一。实物期权是支持资本预算决策的技术，它适应了为金融证券期权开发的技术。使用实物期权的目的是获取项目中包含的期权，这些期权不能被贴现现金流量模型所捕获，贴现现金流量模型是几乎所有财务分析的基本框架。对实物期权进行估值的过程将辅以随机利率和随机波动率，以更好地反映现有经济和金融状况的灵活性和波动性。评估将使用蒙特卡罗模拟和MATLAB编程语言对北海油田的原油数据进行模拟。数据来自Charlie Grafström和Leo Lundquist的论文“实物期权估值与DCF评估-在北海油田的应用”。关键词:实物期权，随机利率模型，随机波动率模型，仿真
{"title":"Real Option Valuation with Stochastic Interest Rate and Stochastic Volatility","authors":"R. F. Suwarman","doi":"10.29313/jmtm.v18i2.5138","DOIUrl":"https://doi.org/10.29313/jmtm.v18i2.5138","url":null,"abstract":"Abstract. Real options are one of the most interesting research topics in Finance since 1977 Stewart C. Myers from MIT Sloan School of Management published his pioneering article on this subject in the Journal of Financial Economics. Real options are techniques for supporting capital budgeting decisions that adapt techniques developed for financial securities options. The purpose of using this real option is to capture the options contained in projects that cannot be captured by the discounted cash flow model which operates as a basic framework for almost all financial analyzes. The process of valuing real options will be complemented by the stochastic interest rate and stochastic volatility to better capture the flexibility and volatility of the existing economic and financial situation. The valuation will use a Monte Carlo simulation with the MATLAB programming language on crude oil data from the North Sea oil field. Data were obtained from the thesis of Charlie Grafström and Leo Lundquist with the title \"Real Option Valuation vs. DCF Evaluation – An Application to a North Sea oilfield\".Keyword: real options, stochastic interest rate model, stochastic volatility model, simulation","PeriodicalId":43733,"journal":{"name":"Matematika","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2019-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43357937","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-07-31DOI: 10.11113/MATEMATIKA.V35.N2.1108
Nurul Izzaty Ismail, Fong Wan Heng, N. Sarmin
The modelling of splicing systems is simulated by the process of cleaving and recombining DNA molecules with the presence of a ligase and restriction enzymes which are biologically called as endodeoxyribonucleases. The molecules resulting from DNA splicing systems are known as splicing languages. Palindrome is a sequence of strings that reads the same forward and backward. Research on generalisations of splicing languages in DNA splicing system involving palindromic sequences for restriction enzymes has been done previously. In this research, the splicing languages resulting from DNA splicing systems with one non-palindromic restriction enzyme are determined using the notation from Head splicing system. The generalisations of splicing languages for DNA splicing systems involving one and two non-overlapping cutting sites of one non-palindromic restriction enzyme are presented in the first and second theorems, respectively, which are proved using direct and induction methods. The result from the first theorem shows a trivial string which is the initial DNA molecule; while the second theorem determines a splicing language consisting of a set of resulting DNA molecules from the respective DNA splicing system.
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