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Plausibility of Local Currency Contribution to the CMIM
Soyoung Kim,Woongji Im 서울대학교 경제연구소 2020 Seoul journal of economics Vol.33 No.3
This study assesses the plausibility of local currency contribution to the Chiang Mai Initiative Multilateralization (CMIM) arrangement. First, we investigate the (net) demand for local currencies in foreign exchange reserves because introducing local currency contribution is efficient only when sufficient demand exists. The main results are as follows. i) Substantial demand exists for local currencies in foreign exchange reserves. ii) The size of the demand for local currencies in foreign exchange reserves is large in comparison with the size of the maximum withdrawal from CMIM. iii) Net demand for local currencies in CMIM tends to be positive. Second, the stability of local currencies is analyzed by calculating the exchange market pressure index because costs of local currency contribution to CMIM arrangements can be high if local currencies are unstable. The results suggest that several currencies of ASEAN+3 members are as stable as popular non-U.S. international currencies for various sub-periods. The results in terms of stability of the currency, internationalization of currency, and liberalization of capital account transactions, indicate that the Japanese yen, Chinese yuan, and Korean won could first be considered eligible for local currency contribution to CMIM arrangements. Overall, the results may support the idea of introducing local currency contribution to CMIM arrangements.
On the zeros of certain weakly holomorphic modular forms for Γ 0 + ( 2 )
Choi, SoYoung,Im, Bo-Hae Elsevier 2016 Journal of number theory Vol.166 No.-
<P><B>Abstract</B></P> <P>We prove that zeros in the fundamental domain for Γ 0 + ( 2 ) of certain weakly holomorphic modular forms for Γ 0 + ( 2 ) lie on the circle with radius 1 2 .</P>
Bounds for the coefficients of cusp forms for Γ<sub>0</sub>(3)
Choi, SoYoung,Im, Bo-Hae Elsevier 2018 Journal of number theory Vol.188 No.-
<P><B>Abstract</B></P> <P>We give bounds of the coefficients of cusp forms <I>f</I> for <SUB> Γ 0 </SUB> ( 3 ) in terms of its first <SUB> d k </SUB> numbers of coefficients of <I>f</I> and f <SUB> | k </SUB> <SUB> W 3 </SUB> , where <SUB> W 3 </SUB> is the Fricke involution of level 3, and <SUB> d k </SUB> is the dimension of the space <SUB> S k </SUB> ( <SUB> Γ 0 </SUB> ( 3 ) ) of weight <I>k</I> cusp forms for <SUB> Γ 0 </SUB> ( 3 ) . In particular, we find bounds of the coefficients of cusp forms for Γ 0 + ( 3 ) .</P>
Interlacing of zeros of certain weakly holomorphic modular forms for Γ 0 + ( 2 )
Choi, SoYoung,Im, Bo-Hae Elsevier 2017 Journal of mathematical analysis and applications Vol.449 No.1
<P><B>Abstract</B></P> <P>We prove that zeros of each basis element of the space of weakly holomorphic modular forms of weight <I>k</I> for the Fricke group Γ 0 + ( 2 ) of level 2 interlace, extending the result for <SUB> SL 2 </SUB> ( Z ) of Jenkins and Pratt .</P>
Choi, SoYoung,Im, Bo-Hae Academic Press 2019 Journal of number theory Vol.204 No.-
<P><B>Abstract</B></P> <P>We consider the canonical basis elements f k , m ε for the space of weakly holomorphic modular forms of weight <I>k</I> for the Hecke congruence group <SUB> Γ 0 </SUB> ( 2 ) and we prove that for all m ≥ c ( k ) for some constant c ( k ) , if <SUB> z 0 </SUB> in a fundamental domain for <SUB> Γ 0 </SUB> ( 2 ) is a zero of f k , m ε , then either <SUB> z 0 </SUB> is in { i 2 , − 1 2 + i 2 , 1 2 + i 2 , − 1 + i 7 4 , 1 + i 7 4 } , or <SUB> z 0 </SUB> is transcendental.</P>