• Health Policy and Management
• /
• v.18 no.3
• /
• pp.128-146
• /
• 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 Journal of Korean Institute of Communications and Information Sciences
• /
• v.32 no.11B
• /
• pp.709-717
• /
• 2007

Pricing a network service aims for congestion control of the network as well as economic efficiency. A monopolistic supplier providing users with a network service on a shared link needs a pricing schedule that maximizes revenue under the link's bandwidth constraint and guarantees the bandwidth purchased by the users. In that case, nonlinear pricing is an efficient scheme which meets both requirements. This study reviews how nonlinear pricing can be applied to the network service under the constraint and shows that the nonlinear pricing may result in a fixed unit price of bandwidth as linear pricing when demand characteristics of the users follow a power law. Also, the way how the provider with incomplete information on the demand distribution seeks for the optimal pricing from the degree of the network congestion is introduced and the relationship between the development direction of the Internet and internet pricing is considered based on the results of the study.

• The Korean Journal of Applied Statistics
• /
• v.21 no.5
• /
• pp.755-763
• /
• 2008

This paper approaches the problem of option pricing in an incomplete market, where the underlying asset price process follows a compound Poisson model. We assume that the price process follows a compound Poisson model under an equivalent martingale measure and it converges weakly to the Black-Scholes model. First, we express the option price as the expectation of the discounted payoff and expand it at the Black-Scholes price to obtain a pricing formula with three unknown parameters. Then we estimate those parameters using the market option data. This method can use the option data on the same stock with different expiration dates and different strike prices.

• Communications of the Korean Mathematical Society
• /
• v.23 no.1
• /
• pp.141-151
• /
• 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.

• Journal of the Korean Society for Industrial and Applied Mathematics
• /
• v.4 no.2
• /
• pp.77-84
• /
• 2000

Black-Scholes equation arising from option pricing in the presence of cost in trading the underlying asset is derived. The transaction cost is chosen precisely and generalized to reflect the trade in the real world. Furthermore the concept of the bandwidth is introduced to obtain the better rehedging. The model with bandwidth derived in this paper can be used to calculate the more accurate option price numerically even if it is nonlinear and more complicated than the models shown before.

• Journal of the Korean Society for Industrial and Applied Mathematics
• /
• v.7 no.2
• /
• pp.13-22
• /
• 2003

Simulations on the nonlinear partial differential equation derived from Black-Scholes equation with transaction costs are performed. These numerical experiments using finite element methods are applied to KOSPI200 in 2002 and the option prices obtained with transaction costs are closer to the real prices in market than the prices used in Korea Stock Exchange.

• The Pure and Applied Mathematics
• /
• v.20 no.4
• /
• pp.287-298
• /
• 2013

A standard deviation has been a starting point for a mathematical definition of risk. As a remedy for drawbacks such as subadditivity property discouraging the diversification, coherent and convex risk measures are introduced in an axiomatic approach. Choquet expectation and g-expectations, which generalize mathematical expectations, are widely used in hedging and pricing contingent claims in incomplete markets. The each risk measure or expectation give rise to its own pricing rules. In this paper we investigate relationships among dynamic risk measures, Choquet expectation and dynamic g-expectations in the framework of the continuous-time asset pricing.

• Journal of the Korean Operations Research and Management Science Society
• /
• v.19 no.2
• /
• pp.45-56
• /
• 1994

This paper the profit maximizing order quantity model to the symmetric oligopoly consisting of sellers of a homogeneous product who compete with each other for the same potential buyers. Buyers are classified by type, each selecting an optimal purchase quantity in response to the nonlinear quantity discount pricing schedule given by the sellers. Symmetric equilibrium and the economic quantities that sellers must determine are analysed in a Cournot framework, which explicitly depend on the number of sellers. Economic implications are obtianed from the optimality conditions based on themarket share paraments which are used to characterize the competitior's marketing strategy.

• Proceedings of the Korean Operations and Management Science Society Conference
• /
• 2005.05a
• /
• pp.753-755
• /
• 2005

The Black-Scholes (BS) option pricing model is a landmark in contingent claim theory and has found wide acceptance in financial markets. However, it has a difficulty in the use of the model, because the volatility which is a nonlinear function of the other parameters must be estimated. The more accurately investors are able to estimate this value, the more accurate their estimates of theoretical option values will be. This paper proposes a new model which is based on Particle Swarm Optimization (PSO) for finding more precise theoretical values of options in the field of evolutionary computation (EC) than genetic algorithm (GA)or calculus-based search techniques to find estimates of the implied volatility.

• Journal of Korea Technology Innovation Society
• /
• v.9 no.4
• /
• pp.740-758
• /
• 2006

This paper is related to the optimal pricing of Internet Backbone Services that are differentiated according to the size of the bandwidth required for applications with different quality sensitivities, Itdiscusses IBP (Internet Backbone Provider) optimal nonlinear pricing process in the presence of a congestion externality in addition to strategic behavior by users. In this scenario, the quality of service provided may reach its socially optimal level irrespective of strategic behavior by users and may be independent of the characteristics of the applications delivered over the Internet.