• Journal of the Korean Operations Research and Management Science Society
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• v.29 no.2
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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.

• Journal of Korea Technology Innovation Society
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• v.6 no.2
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• pp.228-252
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• 2003

This research has been focused upon and analyzing Medison, once a leading New Technology-Based Finn (N1BF) in Korea with exceptionally advanced technology in 3D ultrasound diagnostic imaging devices (UDIDs) (armored with 23 subsidiaries at its peak expansion), from the perspective of Dynamic Finn Capability(DFC). The underlying hypothesis is that the various problems from its pointless pursuit of the business styles or precedents of the existing large firms might be traced to its specific characteristics as an NTBF, which should have more preferably been based upon the distinctive competences such as differentiated technologies, institutional linkages, organizational routines, and complementary assets, etc. In conclusion, for the NTBFs with different DFC domains from those of the large firms, the optimal external linkages and comprehensive integration efforts (Process) under their specific organizational characteristics and constraints (path) are highly recommended for the continuous accumulation of their core capabilities based upon the technological assets (Position).

• Communications for Statistical Applications and Methods
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• v.14 no.2
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• pp.413-429
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• 2007

Equity-linked securities (ELS) provide their customers with the return linked to the underlying equity (or equities). Equity-linked products in Korea have recently gained popularity due to relatively low interest rates. This paper discusses an equity-linked security whose principal is not guaranteed. The payoff of the ELS depends on the returns of two underlying assets. This paper presents numerical prices of the proposed product by using Monte-Carlo simulation method. It assumes that the log-returns of two stocks follow either Brownian motion or variance gamma process. Finally, the comparison of the two approaches is discussed.

• Journal of applied mathematics & informatics
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• v.38 no.5_6
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• pp.439-461
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• 2020

A step-up option is a newly developed financial instrument that simultaneously provides higher security and profitability. This paper introduces two step-up options: step-up type1 and step-up type2 options, and derives the option pricing formulas using the Laplace transform. We assume that the underlying equity price follows a regime-switching model that reflects the long-term maturity of these options. The option prices are calculated for the two types of funds, a pure stock fund composed of risky assets only and a mixed fund composed of stocks and bonds, to reflect possible variety in the fund underlying asset mix. The impact of changes in the model parameters on the option prices is analyzed. This paper provides information crucial to product developments.

• Proceedings of the Safety Management and Science Conference
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• 2012.04a
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• pp.667-678
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• 2012

Internet and information technology due to the development of rapid changes in the investment environment, the existing securities, or by disassembling the combined financial engineering to create new securities with the development of enlarged minimize losses to investors in financial markets more stable that can be and need a way to invest in this paper, such as individual stocks or a specific index of those derivatives that are linked to the December 1, 2005 and 2010 the market began trading from the phone call attention off new measures to gauge the individual through ELW underlying assets such as stocks or a specific index to minimize the loss of a stable hedge for investors to evaluate the possibility of studying for.

• The Korean Journal of Financial Management
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• v.13 no.1
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• pp.311-340
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• 1996

This paper investigates the determinants of discounts on closed-end mutual funds. Empirical tests on a panel of closed-end mutual funds show that the magnitude of discounts seems to be unequal for different types of funds. I find strong evidence on tax-timing option effect even after controlling for other variables which have been theorized to be important in determining discounts on closed-end mutual funds. Also, the uncertainty about the value of underlying assets in the fund's portfolio has a significant influence on discounts.

• Communications of the Korean Mathematical Society
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• v.24 no.4
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• pp.617-628
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• 2009

We present an efficient and accurate finite-difference method for computing Black-Scholes partial differential equations with multiunderlying assets. We directly solve Black-Scholes equations without transformations of variables. We provide computational results showing the performance of the method for two underlying asset option pricing problems.

• 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.

• The Journal of the Korea Contents Association
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• v.20 no.11
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• pp.281-291
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• 2020

This study used Gauss-Poisson jump diffusion process on standard assets to estimate the statutory reserves of Variable Annuity (VA) guarantees specified in Korean bylaw of insurance supervision and calculated guarantee fees and risks based on the model to see the effect of considering the jumps. Financial assets, except KOSPI 200, have fat-tailed return distributions, which is an indirect evidence of discontinuous jumps. In the case of a domestic stock index and foreign stock indexes(Korean Won), guarantee fees and risks decrease when jumps are considered in models of underlying assets. This is explained by decreases in standard deviations after the jump diffusion is considered. On the other hand, in the case of domestic bond indexes and a foreign bond index(Korean Won), guarantee fees and risks tend to increase when jumps are considered. Results from a foreign stock index(US Dollar) and a foreign bond index(US Dollar) were opposite to those from the same kinds of Korean Won indexes. We conclude that VA guarantee fees and risks may be under or over estimated when jumps are not considered in models of underlying assets.

• The Korean Journal of Applied Statistics
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• v.25 no.1
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• pp.55-66
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• 2012

Option pricing models using L$\acute{e}$evy processes are suggested as an alternative to the Black-Scholes model since empirical studies showed that the Black-Sholes model could not reflect the movement of underlying assets. In this paper, we investigate whether the Variance Gamma model can reflect the movement of underlying assets in the Korean stock market better than the Black-Scholes model. For this purpose, we estimate parameters and perform likelihood ratio tests using KOSPI 200 data based on the density for the log return and the option pricing formula proposed in Madan et al. (1998). We also calculate some statistics to compare the models and examine if the volatility smile is corrected through regression analysis. The results show that the option price estimated under the Variance Gamma process is closer to the market price than the Black-Scholes price; however, the Variance Gamma model still cannot solve the volatility smile phenomenon.