• 제목/요약/키워드: option price

검색결과 212건 처리시간 0.024초

경제성을 고려한 CER 적정 발행가격 분석 (An Analysis on the Optimal Level of Primary CER Price Regard as Economic Feasibility)

  • 임성수;양승룡
    • 자원ㆍ환경경제연구
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    • 제19권4호
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    • pp.829-852
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    • 2010
  • CER 유통가격은 시장의 거래가격을 모니터링 함으로써 파악할 수 있으나 CER 발행가격을 알기 위해서는 개별 청정개발체제(CDM) 사업에 대한 투자비용을 통해 직접 추정하는 방법밖에는 없다. CER 적정 발행가격을 추정하기 위해서는 실물옵션(Real Option)의 개념을 도입해야 한다. 배출권가격의 불확실성을 고려한 CDM 사업 투자의 최적 시점은 투자를 촉발하는 배출권가격의 수준으로 정의된다. 본 연구는 경제성을 고려한 CER 적정 발행가격의 수준을 분석하는 것과 발행가격을 추정하는 과정에서 도출된 가격, 물량 자료를 통해 CER 공급곡선을 추정하는 데 목적이 있다. 우선 분석모형에 배출권가격의 불확실성을 반영하여 적정 CER 가격 수준을 도출한다. CER의 적정 가격은 CDM 사업이 가능한 손익분기점 수준과, CDM 사업 투자를 1년 지연시켰을 때의 옵션가치를 고려할 경우의 손익분기점 수준으로 나누어 분석한다. 다음으로는 CDM 사업이 가능한 손익분기점을 만족하는 CER 발행가격을 가지고 공급곡선을 추정하고, 이 공급곡선 추정 식에 발행가격 수준을 대입하는 시뮬레이션 추정을 통해 공급의 가격탄력성을 계측한다.

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Pricing Outside Floating-Strike Lookback Options

  • Lee, Hang-Suck
    • 응용통계연구
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    • 제22권1호
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    • pp.59-73
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    • 2009
  • A floating-strike lookback call option gives the holder the right to buy at the lowest price of the underlying asset. Similarly, a floating-strike lookback put option gives the holder the right to sell at the highest price. This paper will propose an outside floating-strike lookback call (or put) option that gives the holder the right to buy (or sell) one underlying asset at some percentage of the lowest (or highest) price of the other underlying asset. In addition, this paper will derive explicit pricing formulas for these outside floating-strike lookback options. Sections 3 and 4 assume that the underlying assets pay no dividends. In contrast, Section 5 will derive explicit pricing formulas for these options when their underlying assets pay dividends continuously at a rate proportional to their prices. Some numerical examples will be discussed.

Pring Fixed-Strike Lookback Options

  • Lee, Hangsuck
    • Communications for Statistical Applications and Methods
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    • 제11권2호
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    • pp.213-225
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    • 2004
  • A fixed-strike lookback option is an option whose payoff is determined by the maximum (or minimum) price of the underlying asset within the option's life. Under the Black-Scholes framework, the time-t price of an equity asset follows a geometric Brownian motion. Applying the method of Esscher transforms, this paper will derive explicit pricing formulas for fixed-strike lookback call and put options, respectively. In addition, this paper will show a relationship (duality property) between the pricing formulas of the call and put options. Finally, this paper will derive explicit pricing formulas for the fixed-strike lookback options when their underlying asset pays dividends continuously at a rate proportional to its price.

불완전시장 하에서의 옵션가격의 결정 (Valuation of Options in Incomplete Markets)

  • Park, Byungwook
    • 한국경영과학회지
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    • 제29권2호
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    • pp.45-57
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    • 2004
  • The purpose of this paper is studying the valuation of option prices in Incomplete markets. A market is said to be incomplete if the given traded assets are insufficient to hedge a contingent claim. This situation occurs, for example, when the underlying stock process follows jump-diffusion processes. Due to the jump part, it is impossible to construct a hedging portfolio with stocks and riskless assets. Contrary to the case of a complete market in which only one equivalent martingale measure exists, there are infinite numbers of equivalent martingale measures in an incomplete market. Our research here is focusing on risk minimizing hedging strategy and its associated minimal martingale measure under the jump-diffusion processes. Based on this risk minimizing hedging strategy, we characterize the dynamics of a risky asset and derive the valuation formula for an option price. The main contribution of this paper is to obtain an analytical formula for a European option price under the jump-diffusion processes using the minimal martingale measure.

A SURVEY ON AMERICAN OPTIONS: OLD APPROACHES AND NEW TRENDS

  • Ahn, Se-Ryoong;Bae, Hyeong-Ohk;Koo, Hyeng-Keun;Lee, Ki-Jung
    • 대한수학회보
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    • 제48권4호
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    • pp.791-812
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    • 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.

ON THE OPTION VALUATION AND DECOMPOSITION OF EXCHANGE OPTION

  • Choi, Won;Ahn, Seung-Chul
    • Journal of applied mathematics & informatics
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    • 제9권2호
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    • pp.745-751
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    • 2002
  • In this paper, we Shall find the unique rational price associated with the exchange option. Also, we find the decomposition of Snell envelope and value function of the American exchange option.

ON THE OPTION PRICES OF EUROPEAN ASIAN ARITHMETICAL OPTION

  • Shin, V.I.;Choi, Won
    • Journal of applied mathematics & informatics
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    • 제7권3호
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    • pp.1069-1075
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    • 2000
  • In this paper, we deal with the European "Asian arithmetical option" and find the unique rational price associated with this option and Asian arithmetical call-put parity.

변동성위험프리미엄을 이용한 일중변동성매도전략의 수익성에 관한 연구 (Profitability of Intra-day Short Volatility Strategy Using Volatility Risk Premium)

  • 김선웅;최흥식;배민근
    • 경영과학
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    • 제27권3호
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    • pp.33-41
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    • 2010
  • A lot of researches find negative volatility risk premium in options market. We can make a trading profit by exploiting the negative volatility premium. This study proposes negative volatility risk premium hypotheses in the KOSPI 200 stock price index options market and empirically test the proposed hypotheses with intra-day short straddle strategy. This strategy sells both at-the-money call option and at-the-money put option at market open and exits the position at market close. Using MySQL 5.1, we create our database with 1 minute option price data of the KOSPI 200 index options from 2004 to 2009. Empirical results show that negative volatility risk premium exists in the KOSPI 200 stock price index options market. Furthermore, intra-day short straddle strategy consistently produces annual profits except one year.

발전량, 가격, 장기금리 변동성을 기초로 한 풍력발전사업의 실물옵션 가치평가 (Real Option Valuation of a Wind Power Project Based on the Volatilities of Electricity Generation, Tariff and Long Term Interest Rate)

  • 김영경;장병만
    • 신재생에너지
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    • 제10권1호
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    • pp.41-49
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    • 2014
  • For a proper valuation of wind power project, it is necessary to consider volatilities of key parameters such as annual energy production, electricity sales price, and long term interest rate. Real option methodology allows to calculate option values of these parameters. Volatilities to be considered in wind project valuation are 1) annual energy production (AEP) estimation due to meteorological variation and estimation errors in wind speed distribution, 2) changes in system marginal price (SMP), and 3) interest rate fluctuation of project financing which provides refinancing option to be exercised during a loan tenor for commercial scale projects. Real option valuation turns out to be more than half of the sales value based on a case study for a FIT scheme wind project that was sold to a financial investor.

PRICING FLOATING-STRIKE LOOKBACK OPTIONS

  • Lee, Hang-Suck
    • 한국통계학회:학술대회논문집
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    • 한국통계학회 2005년도 추계 학술발표회 논문집
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    • pp.153-158
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    • 2005
  • A floating-strike lookback call option gives the holder the right to buy at the lowest price of the underlying asset. Similarly, a floating-strike lookback put option gives the holder the right to sell at the highest price. This paper will derive explicit pricing formulas for these floating-strike lookback options with flexible monitoring periods. The monitoring periods of these options start at an arbitrary date and end at another arbitrary date before maturity.

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