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The Effect of Bank Capital on Lending: Does Liquidity Matter?
( Dohan Kim ),( Wook Sohn ) 한국국제경제학회 2014 한국국제경제학회 동계학술대회 Vol.2014 No.1
This paper examines whether the effect of bank capital on lending differs depending on the level of bank liquidity. On the basis of the 2003 to 2010 quarterly data of 1,050 US commercial banks, we find that bank capital exerts a significant positive effect on lending when banks retain sufficient liquid assets. This liquidity effect has remained during the recent financial crisis and is more prominent for large banks. The results suggest that bank capital and liquidity are complementary measures for increasing bank lending.
SOLUTIONS OF HIGHER ORDER INHOMOGENEOUS PERIODIC EVOLUTIONARY PROCESS
Kim, Dohan,Miyazaki, Rinko,Naito, Toshiki,Shin, Jong Son Korean Mathematical Society 2017 대한수학회지 Vol.54 No.6
Let $\{U(t,s)\}_{t{\geq}s}$ be a periodic evolutionary process with period ${\tau}$ > 0 on a Banach space X. Also, let L be the generator of the evolution semigroup associated with $\{U(t,s)\}_{t{\geq}s}$ on the phase space $P_{\tau}(X)$ of all ${\tau}$-periodic continuous X-valued functions. Some kind of variation-of-constants formula for the solution u of the equation $({\alpha}I-L)^nu=f$ will be given together with the conditions on $f{\in}P_{\tau}(X)$ for the existence of coefficients in the formula involving the monodromy operator $U(0,-{\tau})$. Also, examples of ODEs and PDEs are presented as its application.
NORMAL EIGENVALUES IN EVOLUTIONARY PROCESS
Kim, Dohan,Miyazaki, Rinko,Naito, Toshiki,Shin, Jong Son Korean Mathematical Society 2016 대한수학회지 Vol.53 No.4
Firstly, we establish spectral mapping theorems for normal eigenvalues (due to Browder) of a $C_0$-semigroup and its generator. Secondly, we discuss relationships between normal eigenvalues of the compact monodromy operator and the generator of the evolution semigroup on $P_{\tau}(X)$ associated with the ${\tau}$-periodic evolutionary process on a Banach space X, where $P_{\tau}(X)$ stands for the space of all ${\tau}$-periodic continuous functions mapping ${\mathbb{R}}$ to X.
REPRESENTATIONS OF SOLUTIONS TO PERIODIC CONTINUOUS LINEAR SYSTEM AND DISCRETE LINEAR SYSTEM
Kim, Dohan,Shin, Jong Son Korean Mathematical Society 2014 대한수학회보 Vol.51 No.4
We give a representation of the component of solutions with characteristic multiplier 1 in a periodic linear inhomogeneous continuous system. It follows from this representation that asymptotic behaviors of the component of solutions to the system and to its associated homogeneous system are quite different, though they are similar in the case where the characteristic multiplier is not 1. Moreover, the representation is applicable to linear discrete systems with constant coefficients.