• Asian Journal of Innovation and Policy
• /
• 제5권2호
• /
• pp.197-207
• /
• 2016

This paper seeks to measure the monetary value of technical development in the deep seabed manganese nodule mining by applying the compound option model (COM). The COM is appropriate for the project in terms of its decision-making structure and embedded uncertainty. The estimation results show that the deep seabed mining project has more economic potential than shown by the previously obtained results from the discounted cash flow (DCF) analysis. In addition, it is reasonable to invest in the project taking the various uncertainty factors into consideration, because the ratio of the value to the cost of the project is far higher than one. This information can be utilized in national ocean policy decision-making.

• 디지털융복합연구
• /
• 제7권1호
• /
• pp.73-80
• /
• 2009

In this study, the pricing performances of alternative simple option models are examined by creating a simulated market environment in which asset prices evolve according to a stochastic volatility process. To do this, option prices fully consistent with Heston[9]'s model are generated. Assuming this prices as market prices, the trading positions utilizing the Black-Scholes[4] model, a semi-parametric Corrado-Su[7] model and an ad-hoc modified Black-Scholes model are evaluated with respect to the true option prices obtained from Heston's stochastic volatility model. The simulation results suggest that both the Corrado-Su model and the modified Black-Scholes model perform well in this simulated world substantially reducing the biases of the Black-Scholes model arising from stochastic volatility. Surprisingly, however, the improvements of the modified Black-Scholes model over the Black-Scholes model are much higher than those of the Corrado-Su model.

• Communications for Statistical Applications and Methods
• /
• 제17권4호
• /
• pp.575-589
• /
• 2010

Exponential L$\acute{e}$evy models have become popular in modeling price processes recently in mathematical finance. Although it is a relatively simple extension of the geometric Brownian motion, it makes the market incomplete so that the option price is not uniquely determined. As a trial to find an appropriate price for an option, we suppose a situation where a hedger wants to initially invest as little as possible, but wants to have the expected squared loss at the end not exceeding a certain constant. For this, we assume that the underlying price process follows a variance-gamma model and it converges to a geometric Brownian motion as its quadratic variation converges to a constant. In the limit, we use the mean-variance approach to find the asymptotic minimum investment with the expected squared loss bounded. Some numerical results are also provided.

• 한국산학기술학회논문지
• /
• 제4권3호
• /
• pp.289-295
• /
• 2003

본 논문은 벤처기업을 합리적으로 평가할 수 있는 평가모형과 방법을 제시할 목적으로 코스닥 등록기업 중 무작위 추출에 의해 선정된 99개 벤처기업을 분석표본으로 삼았으며 기업별 시장주가로 2000년 1월부터 2001년12월까지의 최고, 최저, 평균주가를 추출하였다. 본 논문에서는 벤처기업가치평가 모형으로 실물옵션 평가모형 중 성장옵션모형을 이용하여 각 기업의 현재가격, 행사가격, 변동성, 행사기간, 무위험이자율의 5개 변수로 벤처기업의 옵션가치를 산출하고 여기에 잔존가치를 현금흐름 할인 법으로 할인 산출하여 그 값을 합하여 기업 가치를 평가하였고 또한 현금흐름 할인 법(DCF)을 이용하여 기업 가치를 평가하였다. 여기에 사용된 각종 파라미터 값은 우리나라 벤처기업과 산업의 자료를 중심으로 추출하여 본 모형에 적용, 기업의 가치를 실증적으로 평가하였다.

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

• 한국경영과학회:학술대회논문집
• /
• 한국경영과학회 1988년도 추계학술발표회 발표논문초록집; 서울시립대학교 사회과학관, 서울; 5 Nov. 1988
• /
• pp.1-2
• /
• 1988

• 대한수학회보
• /
• 제56권2호
• /
• pp.351-364
• /
• 2019

We derive full closed-form expressions for the prices of European symmetric power quanto call options with four different forms of terminal payoffs under the assumption of the classical lognormal asset price and exchange rate model.

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

• 대한수학회보
• /
• 제48권4호
• /
• pp.791-812
• /
• 2011

This is a survey on American options. An American option allows its owner the privilege of early exercise, whereas a European option can be exercised only at expiration. Because of this early exercise privilege American option pricing involves an optimal stopping problem; the price of an American option is given as a free boundary value problem associated with a Black-Scholes type partial differential equation. Up until now there is no simple closed-form solution to the problem, but there have been a variety of approaches which contribute to the understanding of the properties of the price and the early exercise boundary. These approaches typically provide numerical or approximate analytic methods to find the price and the boundary. Topics included in this survey are early approaches(trees, finite difference schemes, and quasi-analytic methods), an analytic method of lines and randomization, a homotopy method, analytic approximation of early exercise boundaries, Monte Carlo methods, and relatively recent topics such as model uncertainty, backward stochastic differential equations, and real options. We also provide open problems whose answers are expected to contribute to American option pricing.

• 제어로봇시스템학회:학술대회논문집
• /
• 제어로봇시스템학회 1991년도 한국자동제어학술회의논문집(국제학술편); KOEX, Seoul; 22-24 Oct. 1991
• /
• pp.1858-1863
• /
• 1991

The theory of stock option pricing has, recently, attracted attention of many researchers interested not only in finance but also in statistics and control theory. In this field, the problem of estimating stock return volatility is, above all, of great importance in calculating actual stock option value. In this paper, we assume that the stock market is represented by the stochastic volatility model which is the same as that of Hull and White. Then, we propose an approximation function of option value. It is a type of Black-Sholes option formula in which the first and the second order moments of logarithmic stock value are modified in a special form from the original model. Finally, an algorithm of estimating the parameters of the stochastic volatility model is given, and parameters are estimated by using Nikkei 225 index option data.