• Title/Summary/Keyword: Pricing Model

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NUMERICAL SOLUTIONS OF OPTION PRICING MODEL WITH LIQUIDITY RISK

  • Lee, Jon-U;Kim, Se-Ki
    • Communications of the Korean Mathematical Society
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    • v.23 no.1
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    • pp.141-151
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    • 2008
  • In this paper, we derive the nonlinear equation for European option pricing containing liquidity risk which can be defined as the inverse of the partial derivative of the underlying asset price with respect to the amount of assets traded in the efficient market. Numerical solutions are obtained by using finite element method and compared with option prices of KOSPI200 Stock Index. These prices computed with liquidity risk are considered more realistic than the prices of Black-Scholes model without liquidity risk.

Economic Order Quantity and Discount Pricing Policy for the Monopsony Related to the Weapon System Acquisition.

  • 최석철
    • Journal of the military operations research society of Korea
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    • v.23 no.2
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    • pp.72-84
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    • 1997
  • In this paper, we consider an economic order quantity(EOQ) and an optimal discount pricing policy for the monopsony related to the weapon system acquisition. In the monopsony case, a buyer wishes to maximize the profit. However, a seller wants to minimize the total inventory related cost since a buyer can determine the purchase price for the product. We develop a generalized version of EOQ model for the monopsony, including one seller-one buyer model and two seller-one buyer model. A model of buyer reaction to any given pricing scheme is developed to show that there exits a unified pricing policy which motivates the buyer to increase its ordering quantity per order, thereby reducing the joint(buyer and seller) ordering and holding costs in the system.

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Optimal Pricing Strategies for Open Source Support Providers

  • Kim, Byung Cho
    • Asia pacific journal of information systems
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    • v.23 no.1
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    • pp.1-19
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    • 2013
  • The market for commercial open source software (OSS) has been rapidly growing with the proliferation of OSS. One way to commercialize OSS is the support model, which has been adopted by leading OSS firms such as Red Hat and JBoss. Despite the growing interest in OSS commercialization, little research has provided OSS support providers with a pricing guideline. In this paper, we examine the optimal pricing strategies for OSS support providers. Our benchmark is a monopoly case in which we investigate a startup software vendor's incentive to choose the OSS support regime over the proprietary one. Then we extend the model to a duopoly case in which OSS under the support regime competes against proprietary software. We characterize the conditions under which the OSS support model is viable under competition. We believe that our results offer insights to the OSS vendors who consider commercializing their OSS with a support model.

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A SPECIFICATION TEST OF AT-THE-MONEY OPTION IMPLIED VOLATILITY: AN EMPIRICAL INVESTIGATION

  • Kim, Hong-Shik
    • The Korean Journal of Financial Studies
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    • v.3 no.1
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    • pp.213-231
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    • 1996
  • In this study we conduct a specification test of at-the-money option volatility. Results show that the implied volatility estimate recovered from the Black-Scholes European option pricing model is nearly indistinguishable from the implied volatility estimate obtained from the Barone-Adesi and Whaley's American option pricing model. This study also investigates whether the use of Black-Scholes implied volatility estimates in American put pricing model significantly affect the prediction the prediction of American put option prices. Results show that, at long as the possibility of early exercise is carefully controlled in calculation of implied volatilities prediction of American put prices is not significantly distorted. This suggests that at-the-money option implied volatility estimates are robust across option pricing model.

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The Difference in the Performance among Non-linear Pricing Schedules in Medical Examination (건강검진 일반수가 비선형가격체계간 이익비교에 관한 연구)

  • Kwak, Young-Sik;Paik, Soo-Kyung;Yoon, Kyung-Jae
    • Health Policy and Management
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    • v.18 no.3
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    • pp.128-146
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    • 2008
  • Nonlinear pricing abounds in practice because it is a potentially powerful pricing method to explore consumer surplus. The various forms of nonlinear pricing are feasible within a given industry. In this context, it is important for manufacturers and retailers to understand which nonlinear pricing scheme is appropriate to apply in their specific situation and which nonlinear pricing schedule is the most profitable in their market situation. Although the merits of nonlinear pricing are well documented, the attempt to apply nonlinear pricing in medical service has been relatively rare. The researcher aims to try to full this gap by applying a practice-oriented simulation model to health examination data. We compare the sales volumes among nonlinear pricing scheme such as n-block tariff, two-part tariff, and uniform pricing. We found that n-block tariff outperforms two-part tariff and uniform pricing.

THE VALUATION OF VARIANCE SWAPS UNDER STOCHASTIC VOLATILITY, STOCHASTIC INTEREST RATE AND FULL CORRELATION STRUCTURE

  • Cao, Jiling;Roslan, Teh Raihana Nazirah;Zhang, Wenjun
    • Journal of the Korean Mathematical Society
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    • v.57 no.5
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    • pp.1167-1186
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    • 2020
  • This paper considers the case of pricing discretely-sampled variance swaps under the class of equity-interest rate hybridization. Our modeling framework consists of the equity which follows the dynamics of the Heston stochastic volatility model, and the stochastic interest rate is driven by the Cox-Ingersoll-Ross (CIR) process with full correlation structure imposed among the state variables. This full correlation structure possesses the limitation to have fully analytical pricing formula for hybrid models of variance swaps, due to the non-affinity property embedded in the model itself. We address this issue by obtaining an efficient semi-closed form pricing formula of variance swaps for an approximation of the hybrid model via the derivation of characteristic functions. Subsequently, we implement numerical experiments to evaluate the accuracy of our pricing formula. Our findings confirm that the impact of the correlation between the underlying and the interest rate is significant for pricing discretely-sampled variance swaps.

An Option Pricing Model for the Natural Resource Development Projects (해외자원개발사업 평가를 위한 옵션가격 결정모형 연구)

  • Lee, In-Suk;Heo, Eunnyeong
    • Environmental and Resource Economics Review
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    • v.13 no.4
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    • pp.735-761
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    • 2004
  • As a possible alternative to Traditional Discounted Cash Flow Method, "Option Pricing Model" has drawn academic attentions for the last a few decades. However, it has failed to replace traditional DCF method practically due to its mathematical complexity. This paper introduces an option pricing valuation model specifically adjusted for the natural resource development projects. We add market information and industry-specific features into the model so that the model remains objective as well as realistic after the adjustment. The following two features of natural resource development projects take central parts in model construction; product price is a unique source of cash flow's uncertainty, and the projects have cost structure from capital-intense industry, in which initial capital cost takes most part of total cost during the projects. To improve the adaptability of Option Pricing Model specifically to the natural resource development projects, we use Two-Factor Model and Long-term Asset Model for the analysis. Although the model introduced in this paper is still simple and reflects limited reality, we expect an improvement in applicability of option pricing method for the evaluation of natural resource development projects can be made through the process taken in this paper.

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The Pricing of Corporate Common Stock By OPM (OPM에 의한 주식가치(株式價値) 평가(評價))

  • Jung, Hyung-Chan
    • The Korean Journal of Financial Management
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    • v.1 no.1
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    • pp.133-149
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    • 1985
  • The theory of option pricing has undergone rapid advances in recent years. Simultaneously, organized option markets have developed in the United States and Europe. The closed form solution for pricing options has only recently been developed, but its potential for application to problems in finance is tremendous. Almost all financial assets are really contingent claims. Especially, Black and Scholes(1973) suggest that the equity in a levered firm can be thought of as a call option. When shareholders issue bonds, it is equivalent to selling the assets of the firm to the bond holders in return for cash (the proceeds of the bond issues) and a call option. This paper takes the insight provided by Black and Scholes and shows how it may be applied to many of the traditional issues in corporate finance such as dividend policy, acquisitions and divestitures and capital structure. In this paper a combined capital asset pricing model (CAPM) and option pricing model (OPM) is considered and then applied to the derivation of equity value and its systematic risk. Essentially, this paper is an attempt to gain a clearer focus theoretically on the question of corporate stock risk and how the OPM adds to its understanding.

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Mobile Wholesale Pricing using Two Way Interconnection Charge System (양방향 접속료 정산방식을 활용한 이동망 도매대가 산정방안 연구)

  • Jung, Choong Young
    • Journal of Information Technology Applications and Management
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    • v.22 no.4
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    • pp.59-76
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    • 2015
  • The study on Wholesale pricing of MVNO using two way interconnection charge system is rare. This paper considers MVNO possessing its own facilities and subscribers. While previous studies focus on wholesale provision by MNO, this paper employs another approach from existing MVNO model. This paper introduces two way interconnection charge system by recognizing that mobile network interconnection is important to complete the call from MNO to MVNO as well as the call from MVNO to MNO. Also it is interesting to analyze wholesale pricing when there is brand loyalty between MNO and MVNO. This paper analyzes retail pricing and wholesale pricing under duopoly competition and drives social optimal solutions using linear city model.

Pricing of Congestible Internet Services (혼잡발생 가능한 인터넷 서비스의 과금 모형)

  • Rho, Sang-Kyu;An, Jung-Nam;Won, Jung-Ho;Jung, Song
    • Journal of Digital Convergence
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    • v.1 no.1
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    • pp.189-212
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    • 2003
  • The quality of Internet services such as VOD and Web storage services deteriorates as the number of users increases beyond a certain point. However, most of the pricing mechanisms in research as well as those in practice do not reflect such situations (i.e., congestion). The purpose of this paper is to show that different types of pricing mechanisms are required and to model such situations using game theory. We extend Fishburn & Odlyzko(1999) model, in which the service quality is the same for the different pricing schemes, to reflect the situations where the service quality is different between the different pricing schemes due to congestion.

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