• 제목/요약/키워드: binomial tree model

검색결과 8건 처리시간 0.019초

OPTIMAL PORTFOLIO CHOICE IN A BINOMIAL-TREE AND ITS CONVERGENCE

  • Jeong, Seungwon;Ahn, Sang Jin;Koo, Hyeng Keun;Ahn, Seryoong
    • East Asian mathematical journal
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    • 제38권3호
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    • pp.277-292
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    • 2022
  • This study investigates the convergence of the optimal consumption and investment policies in a binomial-tree model to those in the continuous-time model of Merton (1969). We provide the convergence in explicit form and show that the convergence rate is of order ∆t, which is the length of time between consecutive time points. We also show by numerical solutions with realistic parameter values that the optimal policies in the binomial-tree model do not differ significantly from those in the continuous-time model for long-term portfolio management with a horizon over 30 years if rebalancing is done every 6 months.

기후변화 영향을 고려한 도로시설 유지관리 비용변동성 예측 이항분석모델 (Road O&M Cost Prediction Model with the Integration of the Impacts of Climate Change using Binomial Tree Model)

  • 김두연;김병일
    • 대한토목학회논문집
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    • 제35권5호
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    • pp.1165-1171
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    • 2015
  • 사회간접자본의 증가로 인해 신규건설투자 대비 유지관리 비용지출 비중이 확대되어가고 있어 유지관리 주체 입장에서 정확한 유지관리 비용 추정의 중요성이 강조되고 있다. 최근의 연구결과는 점진적이고 지속적인 기후변화에 의해 시설물에 축적되는 영향이 심각한 수준인 것으로 나타나고 있는데, 유지관리 비용추정에 있어 이를 고려한 연구가 미비한 실정이다. 본 연구에서는 중장기적 관점에서 연평균 기온변화의 도로시설 유지관리 비용 변동에의 영향을 추정하기 위해 이항분석모델을 활용한 비용변동 추정 체계를 제안하였다. 이를 위하여 IPCC (Intergovernmental Panel on Climate Change) 5차 보고서에서 도출된 기후변화 시나리오에 따른 연평균 기온변화를 도로시설 유지관리비용 변동에 적용하여, 기후변화의 영향이 고려된 유지관리 비용변동 추정을 위한 분석모델을 도출하였다. 이항모델 및 몬테칼로 시뮬레이션을 활용한 추정모델은 추후 유지관리 주체의 탄력적 의사결정에 다양하게 활용될 수 있을 것으로 판단된다.

RELIABILITY ESTIMATION FOR A DIGITAL INSTRUMENT AND CONTROL SYSTEM

  • Yaguang, Yang;Russell, Sydnor
    • Nuclear Engineering and Technology
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    • 제44권4호
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    • pp.405-414
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    • 2012
  • In this paper, we propose a reliability estimation method for DI&C systems. At the system level, a fault tree model is suggested and Boolean algebra is used to obtain the minimal cut sets. At the component level, an exponential distribution is used to model hardware failures, and Bayesian estimation is suggested to estimate the failure rate. Additionally, a binomial distribution is used to model software failures, and a recently developed software reliability estimation method is suggested to estimate the software failure rate. The overall system reliability is then estimated based on minimal cut sets, hardware failure rates and software failure rates.

FPGA-Based Design of Black Scholes Financial Model for High Performance Trading

  • Choo, Chang;Malhotra, Lokesh;Munjal, Abhishek
    • Journal of information and communication convergence engineering
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    • 제11권3호
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    • pp.190-198
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    • 2013
  • Recently, one of the most vital advancement in the field of finance is high-performance trading using field-programmable gate array (FPGA). The objective of this paper is to design high-performance Black Scholes option trading system on an FPGA. We implemented an efficient Black Scholes Call Option System IP on an FPGA. The IP may perform 180 million transactions per second after initial latency of 208 clock cycles. The implementation requires the 64-bit IEEE double-precision floatingpoint adder, multiplier, exponent, logarithm, division, and square root IPs. Our experimental results show that the design is highly efficient in terms of frequency and resource utilization, with the maximum frequency of 179 MHz on Altera Stratix V.

Option pricing and profitability: A comprehensive examination of machine learning, Black-Scholes, and Monte Carlo method

  • Sojin Kim;Jimin Kim;Jongwoo Song
    • Communications for Statistical Applications and Methods
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    • 제31권5호
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    • pp.585-599
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    • 2024
  • Options pricing remains a critical aspect of finance, dominated by traditional models such as Black-Scholes and binomial tree. However, as market dynamics become more complex, numerical methods such as Monte Carlo simulation are accommodating uncertainty and offering promising alternatives. In this paper, we examine how effective different options pricing methods, from traditional models to machine learning algorithms, are at predicting KOSPI200 option prices and maximizing investment returns. Using a dataset of 2023, we compare the performance of models over different time frames and highlight the strengths and limitations of each model. In particular, we find that machine learning models are not as good at predicting prices as traditional models but are adept at identifying undervalued options and producing significant returns. Our findings challenge existing assumptions about the relationship between forecast accuracy and investment profitability and highlight the potential of advanced methods in exploring dynamic financial environments.

Global Big Data Analysis Exploring the Determinants of Application Ratings: Evidence from the Google Play Store

  • Seo, Min-Kyo;Yang, Oh-Suk;Yang, Yoon-Ho
    • Journal of Korea Trade
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    • 제24권7호
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    • pp.1-28
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    • 2020
  • Purpose - This paper empirically investigates the predictors and main determinants of consumers' ratings of mobile applications in the Google Play Store. Using a linear and nonlinear model comparison to identify the function of users' review, in determining application rating across countries, this study estimates the direct effects of users' reviews on the application rating. In addition, extending our modelling into a sentimental analysis, this paper also aims to explore the effects of review polarity and subjectivity on the application rating, followed by an examination of the moderating effect of user reviews on the polarity-rating and subjectivity-rating relationships. Design/methodology - Our empirical model considers nonlinear association as well as linear causality between features and targets. This study employs competing theoretical frameworks - multiple regression, decision-tree and neural network models - to identify the predictors and main determinants of app ratings, using data from the Google Play Store. Using a cross-validation method, our analysis investigates the direct and moderating effects of predictors and main determinants of application ratings in a global app market. Findings - The main findings of this study can be summarized as follows: the number of user's review is positively associated with the ratings of a given app and it positively moderates the polarity-rating relationship. Applying the review polarity measured by a sentimental analysis to the modelling, it was found that the polarity is not significantly associated with the rating. This result best applies to the function of both positive and negative reviews in playing a word-of-mouth role, as well as serving as a channel for communication, leading to product innovation. Originality/value - Applying a proxy measured by binomial figures, previous studies have predominantly focused on positive and negative sentiment in examining the determinants of app ratings, assuming that they are significantly associated. Given the constraints to measurement of sentiment in current research, this paper employs sentimental analysis to measure the real integer for users' polarity and subjectivity. This paper also seeks to compare the suitability of three distinct models - linear regression, decision-tree and neural network models. Although a comparison between methodologies has long been considered important to the empirical approach, it has hitherto been underexplored in studies on the app market.

Forecasting of the COVID-19 pandemic situation of Korea

  • Goo, Taewan;Apio, Catherine;Heo, Gyujin;Lee, Doeun;Lee, Jong Hyeok;Lim, Jisun;Han, Kyulhee;Park, Taesung
    • Genomics & Informatics
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    • 제19권1호
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    • pp.11.1-11.8
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    • 2021
  • For the novel coronavirus disease 2019 (COVID-19), predictive modeling, in the literature, uses broadly susceptible exposed infected recoverd (SEIR)/SIR, agent-based, curve-fitting models. Governments and legislative bodies rely on insights from prediction models to suggest new policies and to assess the effectiveness of enforced policies. Therefore, access to accurate outbreak prediction models is essential to obtain insights into the likely spread and consequences of infectious diseases. The objective of this study is to predict the future COVID-19 situation of Korea. Here, we employed 5 models for this analysis; SEIR, local linear regression (LLR), negative binomial (NB) regression, segment Poisson, deep-learning based long short-term memory models (LSTM) and tree based gradient boosting machine (GBM). After prediction, model performance comparison was evelauated using relative mean squared errors (RMSE) for two sets of train (January 20, 2020-December 31, 2020 and January 20, 2020-January 31, 2021) and testing data (January 1, 2021-February 28, 2021 and February 1, 2021-February 28, 2021) . Except for segmented Poisson model, the other models predicted a decline in the daily confirmed cases in the country for the coming future. RMSE values' comparison showed that LLR, GBM, SEIR, NB, and LSTM respectively, performed well in the forecasting of the pandemic situation of the country. A good understanding of the epidemic dynamics would greatly enhance the control and prevention of COVID-19 and other infectious diseases. Therefore, with increasing daily confirmed cases since this year, these results could help in the pandemic response by informing decisions about planning, resource allocation, and decision concerning social distancing policies.

한국 NPL시장 수익률 예측에 관한 연구 (A study on the prediction of korean NPL market return)

  • 이현수;정승환;오경주
    • 지능정보연구
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    • 제25권2호
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    • pp.123-139
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    • 2019
  • 국내 NPL (Non performing loan) 시장은 1998년에 형성되었지만, 본격적으로 활성화 된 시기는 2009년으로 역사가 짧은 시장이다. 이로 인해 NPL 시장에 대한 연구도 아직까지는 활발히 진행되지 않고 있는 상황이다. 본 연구는 NPL 시장의 각 물건 별 기준 수익률 달성 유무를 예측할 수 있는 모델을 제안한다. 모델 구축에 사용되는 종속변수는 물건 별 최종 수익률이 기준 수익률 수치 도달 여부를 나타내는 이항변수를 사용하였고, 독립변수로는 물건의 특성을 나타내는 11개의 변수를 대상으로 one to one t-test와 logistic regression stepwise, decision tree를 수행하여 의미있는 7개의 독립변수를 선별하였다. 그리고 통상적으로 사용되는 기준 수익률 수치(12%)가 의미있는 기준 수치인지 확인하기 위해 수치 값을 조절해가며 종속변수를 산출하여 예측모델을 구축해보았다. 그 결과 12%의 기준 수익률 수치로 산출한 종속변수를 이용하여 구축한 예측모델의 평균 Hit ratio가 64.60%로 가장 우수하다는 결과를 얻었다. 다음으로 선별된 7개의 독립변수들과 12%를 기준으로한 수익률 달성유무 종속변수를 이용하여 판별분석, 로지스틱 회귀분석, 의사결정나무, 인공신경망, 유전자알고리즘 선형 모델의 5가지 방법론을 적용해 예측모델을 구축해보았다. 5가지 방법론으로 도출한 예측 모델 간 Hit ratio를 비교한 결과 인공신경망을 이용하여 구축한 예측모델의 Hit ratio가 67.4%로 가장 우수한 결과를 도출해내었다. 본 연구를 통해 추후 NPL시장 신규 물건 매매에 있어서 7가지의 독립변수들과 인공신경망 예측 모델을 활용하는 것이 효과적임을 증명하였다. 물건의 12% 수익률 달성 여부를 사전에 예측해봄으로써 유동화회사가 투자 의사결정을 하는 데에 도움을 줄 것으로 예상하며, 나아가 NPL 시장의 거래가 적정한 가격 선에서 진행됨으로 인해 유동성이 더욱 높아질 것이라 기대한다.