• The Journal of Asian Finance, Economics and Business
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• v.8 no.4
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• pp.591-599
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• 2021

The increased risk in financial firms, due to Global Financial Crises and high international trade activities, has encouraged banks to use derivatives for both managing their financial risk and earning non-operating income simultaneously. The present study brings new evidence in the existing literature by determining the drivers behind financial derivative usage in Pakistani banks for 2011 till 2016. Moreover, the paper examines how risk plays a moderating role in determining the relationship between derivative usage and bank value. While assessing the determinants, a two-stage test has conducted, first, the logit regression was used to test the drivers behind the derivative usage in banks. Second, Tobit regression was run to analyze the factors leading to determine the extent of derivative usage. The findings demonstrate that Pakistani banks are using derivatives for both risk management and speculative motive as they are customers and users of derivatives at the same time. Empirical results, regarding moderating role of risk on the value implications of derivative usage, provide mixed findings as derivative usage gives value premium in case of non-systematic risk and foreign exchange risk. Whereas value discounts have been observed for cases where systematic risk is high and managers try to earn non-operating income from speculative activities.

• Communications of the Korean Mathematical Society
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• v.37 no.2
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• pp.503-520
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• 2022

We introduce a new type of fractional derivative, which we call as the right local general truncated M-fractional derivative for α-differentiable functions that generalizes the fractional derivative type introduced by Anastassiou. This newly defined operator generalizes the standard properties and results of the integer order calculus viz. the Rolle's theorem, the mean value theorem and its extension, inverse property, the fundamental theorem of calculus and the theorem of integration by parts. Then we represent a relation of the newly defined fractional derivative with known fractional derivative and in context with this derivative a physical problem, Kirchoff's voltage law, is generalized. Also, the importance of this newly defined operator with respect to the flexibility in the parametric values is described via the comparison of the solutions in the graphs using MATLAB software.

• Kyungpook Mathematical Journal
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• v.55 no.2
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• pp.335-344
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• 2015

In the paper we discuss the value distribution of the product of the derivative of a transcendental meromorphic function and a power of the function.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.23 no.3
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• pp.179-202
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• 2019

This paper presents second derivative generalized extended backward differentiation formulas (SDGEBDFs) based on the second derivative linear multi-step formulas of Cash [1]. This class of second derivative linear multistep formulas is implemented as boundary value methods on stiff problems. The order, error constant and the linear stability properties of the new methods are discussed.

• Kyungpook Mathematical Journal
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• v.45 no.3
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• pp.339-348
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• 2005

In this paper, we discuss the value distribution of the derivative of a meromorphic function.

• The Journal of the Korea Contents Association
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• v.12 no.3
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• pp.285-294
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• 2012

Under conditions of increasing environmental uncertainty, firms' risk management become important. This study examines the impact of foreign currency derivative usage on firm value using 3,004 Korean non-financial firms from 2002 to 2007. The results showed that there was no significant relationship between foreign currency derivative usage and firm value for the whole period and from 2002 to 2004 when exchange rate was relatively less volatile. But form 2005 to 2007 when exchange rate was volatile, foreign currency derivative usage gave significant negative impact on firm value, whereas when contract value was used, the relatinship was significantly positive. These results might be come from the characteristics of contract value and fair value of foreign currency derivatives. increased firm value when contract value was used as foreign currency derivative usage measure. But when fair value was used, there was no significance. For control variables, major shareholders ownership and foreign blockholders ownership was positively related with firm value.

• Journal of the Korea Institute of Information and Communication Engineering
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• v.4 no.1
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• pp.155-163
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• 2000

In this paper, we propose an algorithm for the object function used in optimal control or optimal design that sets the object function as simultaneous and then calculates the optimal value according to the Newton method. The proposed method calculates the optimal value simply using two inputs; object function and initial value, using the DDA(Direct Derivative Algorithm) which is a programmed ordinary derivative function that does not inquire the calculation of derivative function nor any inputs. And we have verified the usefulness of the algorithm for the optimal control and optimal dosing.

• Journal of the Korean Mathematical Society
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• v.49 no.6
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• pp.1273-1299
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• 2012

We prove the global regularity of weak solutions to a conormal derivative boundary value problem for quasilinear elliptic equations in divergence form on Lipschitz domains under the controlled growth conditions on the low order terms. The leading coefficients are in the class of BMO functions with small mean oscillations.

• Bulletin of the Korean Mathematical Society
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• v.33 no.3
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• pp.329-334
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• 1996

The notion of approximate derivative was introduced by Denjoy in 1916 [3]. Khintchine [5] proved that Rolle's theorem holds for approximate derivatives and Tolstoff [8] proved that every approximate derivative is of Baire class 1 and has Darboux property. Goffman and Neugebauer [4] proved the above results of Tolstoff [8] in a different and simplified method. Also they [4] proved indirectly (via Darboux property) that approximate derivatives possess mean value property.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.10 no.1
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• pp.21-29
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• 2006

The method to construct a surface from point data are widely known. But the way to make a surface from derivative data is not usually used since derivative data in engineering appears very often. In this paper, if more than one types of data among three possible data such as point data, first derivative data, second derivative data are given, we can construct a surface. If only first derivative data are given, we add a function value at the one point. If only second derivative data are given, we add a linear function.