• Communications of the Korean Mathematical Society
• /
• v.39 no.2
• /
• pp.535-546
• /
• 2024

We consider chooser options written on various underlying assets other than vanilla call and put options. Specifically, we deal with (i) the chooser option written on the power call and put options, and (ii) the chooser option written on the exchange options. We provide explicit formulas for the prices of these chooser options whose underlying assets are either power options or exchange options, rather than the vanilla call and put options.

• Journal of applied mathematics & informatics
• /
• v.7 no.2
• /
• pp.597-603
• /
• 2000

In this paper, we deal with the European Asian Arithmetical option and find the unique rational price associated with option and Asian arithmetical call-put parity.

• Journal of applied mathematics & informatics
• /
• v.7 no.3
• /
• pp.1069-1075
• /
• 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.

• Industrial Engineering and Management Systems
• /
• v.12 no.2
• /
• pp.85-94
• /
• 2013

This research investigates the supply chain contract between a distributor and a supplier in which the selling period is relatively short in comparison with long production lead time. At the first stage, supplier who is a Stackelberg leader offers the distributor a contract with a set of parameters, and subjected to those parameters, the distributor places the number of initial orders as well as options. In order to purchase the option, the distributor pays non-linear option premium price with respect to the number of purchased options. At the second stage, based on realized demand, the distributor has the right to exercise option as either put or call which is limited up to the number of purchased options. The wholesale price contract is used as a benchmarking contract. This research has confirmed that the supply chain contract with a non-linear option premium price can help to coordinate the supply chain.

• Proceedings of the Korea Technology Innovation Society Conference
• /
• 2002.11a
• /
• pp.45-57
• /
• 2002

Since a new entrant in the telecommunications market requires time in order to construct its own network, a requirement on the incumbent operator to implement carrier selection and pre-selection can enable a new entrant to immediately attract customers and earn revenue. Carrier selection can normally be accomplished in two ways, on a call-by-call basis or through carrel pre-selection. Call-by-call selection allows customers to choose a new entrant rather than the incumbent carrier using a specific code designated to the new carrier each time a call is made. Carrier Pre-Selection, on the other hand, allows customers directly connect to the network of one provider to have access automatically to another company's services when they pick up the phone to make certain types of calls. The carrier pre-selection option is generally considered to be a second regulatory step following the implementation of the call-by-call carrier selection option. Carrier pre-selection with the ability to override on a call-by-call basis for long distance, international, local, and fixed-to-mobile calls has now been implemented in many EU countries. This paper attempts to identify the issues in introducing CPS and to draw policy implications from other countries' experiences.

• Journal of applied mathematics & informatics
• /
• v.6 no.2
• /
• pp.569-574
• /
• 1999

In this paper we obtain relation between the heding prices in European and American option and apply to call option.

• The Korean Journal of Financial Management
• /
• v.1 no.1
• /
• pp.133-149
• /
• 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.

• Communications of the Korean Mathematical Society
• /
• v.32 no.2
• /
• pp.467-477
• /
• 2017

This paper is about the derivations of local volatilities for European quanto call option prices according to various types of payoffs. We derive the explicit formulas of local volatilities with constant foreign and domestic interest rates by adapting the method of Derman-Kani.

• THE INTERNATIONAL COMMERCE & LAW REVIEW
• /
• v.47
• /
• pp.129-156
• /
• 2010

Since the 1970s, international construction employers have commonly requested first demand guarantees upon their contractors as a form of security for due performance of their works. Contractors prefer the greater protection offered by more traditional forms of security requiring presentation of an arbitral award or other evidence of the caller's entitlement to compensation. Many contractors nonetheless feel that they have no alternative but to provide these unconditional guarantees in order to compete. However, these unconditional first demand guarantees are controversial and have given rise to numerous disputes both in arbitration and litigation. Disputes arising from first demand guarantees can be broken down into a) applications to prevent a perceived fraudulent or otherwise unfair or improper calling of a guarantee, b) claims arising from such abusive calls and c) claims relating to the consequences of such calls even if the call itself may not be abusive as such. The contractors should carefully assess the risk of an abusive call being made bearing in mind the difficulties he may face in seeking to prevent such a call. He should also bear in mind the difficulties, delays and cost he is likely to encounter in seeking to recover any monies wrongfully called. One option would be to provide that the call can only be made once and to the extent that the employer's damages have been assessed or even incurred or even for the default to have been established by an arbitral tribunal or court. Another option would be to provide that any call be accompanied by a decision of a competent and impartial third party stating that the contractor is in breach. For example, such a requirement could be incorporated into a construction contract based on the FIDIC Conditions by submitting this decision to a Dispute Adjudication Board. Another option would be to provide for the "ICC Counter-Guarantee Scheme". In sum, there would appear to be room for compromise between the employer and the contractor in respect of first demand guarantees by conditioning the entitlement to call such guarantees to the determination of a competent and impartial third party.

• The Korean Journal of Applied Statistics
• /
• v.22 no.1
• /
• pp.59-73
• /
• 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.