• Korean Journal of Mathematics
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• 제29권2호
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• pp.409-424
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• 2021

In this paper, we investigate a pricing model for mortgage-backed securities (MBSs) of a pay-through type of collateral mortgage obligation (CMO), embedded call options, which can be exercised by the intermediary, and pass-through MBSs. We suggest a prepayment-risk-neutral pricing model, applying a reduced-form prepayment rate model, and then compute and investigate the appropriate prices and spreads in the coupon rates between CMOs and PT MBSs. We believe that this study contributes in that it provides a sophisticated pricing model for MBSs, especially to the financial markets which are not advanced enough to finance with a simple type of MBSs.

• Management Science and Financial Engineering
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• 제19권1호
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• pp.11-16
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• 2013

This paper derives an equilibrium asset price when there exist three kinds of traders in financial market: a risk-averse informed trader, noise traders, and risk neutral market makers. This paper is an extended version of Kyle's (1985, Econometrica) continuous time model by introducing insider's risk aversion. We obtain not only the equilibrium asset pricing and market depth parameter but also insider's value function and optimal insider's trading strategy explicitly. The comparative static shows that the market depth (the reciprocal of market pressure) increases with time and volatility of noise traders' trading.

• 한국경영과학회:학술대회논문집
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• 한국경영과학회/대한산업공학회 2003년도 춘계공동학술대회
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• pp.620-627
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• 2003

The real option pricing theory has emerged as the new investment decision-making techniques superceding the traditional discounted cash flow techniques and thus has greatly received muck attention from academics and practitioners in these days the theory has been widely applied to a variety of corporate strategic projects such as a new drug R&D, an internet start-up. an advanced manufacturing system. and so on A lot of people who are interested in the real option pricing theory complain that it is difficult to understand the true meaning of the real option value. though. One of the most conspicuous reasons for the complaint may be due to the fact that there exit many different ways to calculate the real options value in this paper, we will present a replicating portfolio method. a risk-neutral probability method. a risk-adjusted discount rate method (quasi capital asset pricing method). and an opportunity cost concept-based method under the conditions of a binomial lattice option pricing theory.

• 대한산업공학회지
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• 제33권2호
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• pp.221-226
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• 2007

This paper suggests a valuation framework of investment project using the concept of real options. We show the valuation process of real assets using the risk-neutral pricing. Especially, we focus on the investment lag. Real assets have investment lag in general. The decision time and the payment time are not identical. So the investment lag should be considered when valuing real assets for reality. We provide the valuation process for real assets, including R&D project. The results of this paper can be used for the real assets valuation and strategic decision analysis.

• 한국경영과학회:학술대회논문집
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• 대한산업공학회/한국경영과학회 2004년도 춘계공동학술대회 논문집
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• pp.742-745
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• 2004

Most of options pricing theory including Black and Scholes continuous model and Cox, Ross, and Rubinstein(CRR)'s binomial lattice model were developed based on the notion that continually revised risk-free hedges involving options and stock should earn the risk-free interest rate. This notion is valid with the assumption that the investor's attitude toward risk is neutral. In reality, this assumption may be frequently violated. Therefore, Hodder, Mello, and Sick proposed the way to value real options using the risk-adjusted interest rate. However, they did not show how to derive the mathematical expression for it. In this paper, we will clearly present how to obtain the mathematical expression for the risk-adjusted interest rate for real options and demonstrate two numerical examples to show its applicability.

• 응용통계연구
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• 제24권1호
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• pp.83-92
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• 2011

주식은 그 자체로도 투자의 대상이며, 또한 옵션의 기초자산으로서 옵션의 가격을 평가하는 기본도구로 사용되고 있기에, 주식에 대한 정확한 예측값 도출은 매우 중요하다고 불 수 있다.주식의 가치평가를 위하여 기존 연구들은 대표적으로 GARCH 류의 모형과 SV(stochastic volatility, 확률변동성)류의 모형을 사용하였다. 본 연구에서는 SV 모형에 대해서 초점을 맞추어 KOSPI200 지수를 실증분석하였다. 특히 Durham (2008)의 방법론에 따라서 로그 SV 모델에 변동성지수(VKOSPI 지수)를 추가로 고려하여 모델의 정확도 향상을 기대하였다. VKOSPI 지수는 KOSPI200의 옵션으로부터 계산된 미래에 대한 기대 변동성으로, 주식과 옵션간의 유기적 관련성을 바탕으로 추정하기에 그 의미가 있다. 자료는 2003년 1월2일부터 2010년 9월 24일을 기간으로 사용하였다.

• 대한산업공학회지
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• 제38권4호
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• pp.244-248
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• 2012

We present a simple numerical method for pricing American put options under a constant elasticity of variance (CEV) model. Our analysis is done in a general framework where only the risk-neutral transition density of the underlying asset price is given. We obtain an integral equation of early exercise premium. By exploiting a modification of the integral equation, we propose a novel and simple numerical iterative valuation method for American put options.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제21권4호
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• pp.295-305
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• 2014

Yan & Hanson [8] and Makate & Sattayatham [6] extended Bates' model to the stochastic volatility model with jumps in both the stock price and the variance processes. As the solution processes of finding the characteristic function, they sought such a function f satisfying $$f({\ell},{\nu},t;k,T)=exp\;(g({\tau})+{\nu}h({\tau})+ix{\ell})$$. We add the term of order ${\nu}^{1/2}$ to the exponent in the above equation and seek the explicit solution of f.

• 한국건설관리학회논문집
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• 제13권2호
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• pp.102-109
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• 2012

민간투자사업의 핵심 성공요인은 민간사업자와 정부 간의 적절한 위험 분담과 민간사업자가 부담하는 위험 대비 적절한 수익의 제공이다. 현재 국내 민간투자사업은 민간사업자가 대부분의 위험을 부담하는 수익형 민자사업(BTO)과 정부가 대부분의 위험을 부담하는 임대형 민자사업(BTL)로 구분되어 있을 뿐, 정부와 민간사업자가 위험을 다양한 형태로 분담하는 방식은 아직 도입되어 있지 않은 상태이다. 이 결과 도로, 항만 등 수익형 민간투자사업 방식으로 진행되는 사업에 대한 과다한 위험부담으로 인해 민간사업자의 수익형 민간투자사업에의 참여가 극도로 저조한 상황이다. 본 연구에서는 민간투자사업 위험 중 가장 큰 위험인 수요위험(demand risk)을 정부와 민간사업자가 분담하는 새로운 방식의 민간투자사업을 살펴보고자 한다. 보다 구체적으로 본 연구에서는 민간투자사업의 운영수입을 모두 정부에 귀속시킨 후 운영수입 수준에 따라 민간사업자에게 계단형으로 지급되는 방식을 살펴보고자 한다. 민간사업자가 부담하는 위험 대비 적절한 수준의 정부지급금을 실물옵션 모형 및 위험중립적(risk neutral) 방법론을 통해 산출하고, 산출된 구간별 정부지급금에 반영된 사업수익률을 추정하고자 한다. 본 연구에서 사용한 방법론 및 결과는 향후 국내에 다양한 방식의 민간투자사업이 도입되는데 도움을 줄 수 있을 뿐만 아니라, 민간이 제시하는 다양한 방식에 대한 평가 기준을 설정하는데 도움을 줄 수 있을 것으로 기대된다.

• 대한산업공학회지
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• 제41권3호
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• pp.259-266
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• 2015

Among many energy resources, natural gas has recently received a remarkable amount of attention, particularly from the electrical generation industry. This is in part due to increasing shale gas production, providing an environment-friendly fossil fuel, and high risk of nuclear power. Because South Korea, the world's second largest LNG importing nation after Japan, has no international natural gas pipelines and relies on imports in the form of LNG, the natural gas has been traditionally procured by long term LNG contracts at relatively high price. Thus, there is a need of developing an Asian LNG trading hub, where LNG can be traded at more competitive spot prices. In a natural gas spot market, the amount of natural gas to be bought should be carefully determined considering a limited storage capacity and future pricing dynamics. In this work, the problem to find the optimal amount of natural gas in a spot market is formulated as a Markov decision process (MDP) in risk neutral environment and the optimal base stock policy which depends on a stage and price is established. Taking into account price and demand uncertainties, the basestock target levels are simply approximated from dynamic programming. The simulation results show that the basestock policy can be one of effective ways for procurement of LNG in a spot market.