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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">voprecotest</journal-id><journal-title-group><journal-title xml:lang="ru">Вопросы экономики</journal-title><trans-title-group xml:lang="en"><trans-title>Voprosy Ekonomiki</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">0042-8736</issn><publisher><publisher-name>Voprosy Ekonomiki, NP</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.32609/0042-8736-2024-12-69-85</article-id><article-id custom-type="elpub" pub-id-type="custom">voprecotest-4961</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ФИНАНСОВАЯ ЭКОНОМИКА</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>FINANCIAL ECONOMICS</subject></subj-group></article-categories><title-group><article-title>Теоретическая модель определения макропруденциальных надбавок по валютным кредитам</article-title><trans-title-group xml:lang="en"><trans-title>Theoretical model of macroprudential add-ons to risk-weights for foreign-currency denominated loans</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-2274-189X</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Пеникас</surname><given-names>Г. И.</given-names></name><name name-style="western" xml:lang="en"><surname>Penikas</surname><given-names>H. I.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Пеникас Генрих Иозович - д. э. н., руководитель проекта Департамента исследований и прогнозирования Банка России.</p><p>Москва</p></bio><bio xml:lang="en"><p>Henry I. Penikas.</p><p>Moscow</p></bio><email xlink:type="simple">penikas@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Банк России</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Bank of Russia</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2024</year></pub-date><pub-date pub-type="epub"><day>04</day><month>12</month><year>2024</year></pub-date><volume>0</volume><issue>12</issue><fpage>69</fpage><lpage>85</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Voprosy Ekonomiki, NP, 2024</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="ru">Voprosy Ekonomiki, NP</copyright-holder><copyright-holder xml:lang="en">Voprosy Ekonomiki, NP</copyright-holder><license xlink:href="https://www.vopreco.ru/jour/about/submissions#copyrightNotice" xlink:type="simple"><license-p>https://www.vopreco.ru/jour/about/submissions#copyrightNotice</license-p></license></permissions><self-uri xlink:href="https://www.vopreco.ru/jour/article/view/4961">https://www.vopreco.ru/jour/article/view/4961</self-uri><abstract><p>Предложено развитие модели Мертона-Васичека для учета валютных кредитов в портфеле ссуд и определения величины валютных макронадбавок к риск-весам в нормативе достаточности капитала. Показано, как величина надбавок зависит от волатильности обменного курса, от соотношения валютных активов и пассивов типичных заемщиков в таком портфеле ссуд. Дополнительно обоснована целесообразность аддитивного, а не мультипликативного учета валютного курса в теоретической модели.</p></abstract><trans-abstract xml:lang="en"><p>We offer a Merton-Vasicek model extension to account for the presence of foreign-currency denominated loans in the portfolio and to derive the value of the macroprudential add-ons to risk-weights in the capital adequacy ratio. We show how the add-ons depend upon the foreign-currency exchange rate volatility, and upon the ratio of foreign-currency denominated assets and liabilities of typical borrowers within such a loan portfolio. In addition, we explain why it is worth accounting for the exchange rate in the additive, and not multiplicative form in the theoretical model.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>кредитный риск</kwd><kwd>вероятность дефолта</kwd><kwd>модель Васичека</kwd><kwd>подход внутренних рейтингов</kwd></kwd-group><kwd-group xml:lang="en"><kwd>credit risk</kwd><kwd>probability of default</kwd><kwd>Vasicek model</kwd><kwd>internal ratings based</kwd><kwd>IRB</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Автор благодарит Л.Н. Каваленю (Банк России, Департамент финансовой стабильности) за предложение идеи к исследованию и обсуждение, А.Г. Морозова (Банк России, Департамент исследований и прогнозирования) и анонимных рецензентов за полезные комментарии.</funding-statement></funding-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Банк России (2022). Перспективные направления развития банковского регулирования и надзора. Москва.</mixed-citation><mixed-citation xml:lang="en">Bank of Russia (2022). Prospective directions for the development of banking regulation and supervision. Moscow. (In Russian).</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Симановский А. Ю. (2024). Еще раз о концепции чувствительности регулятивного банковского капитала к риску // Вопросы экономики. № 3. С. 27—42. https://doi.org/10.32609/0042-8736-2024-3-27-42</mixed-citation><mixed-citation xml:lang="en">Simanovskiy A. Y. (2024). The concept of banking capital risk-sensitivity revisited. Voprosy Ekonomiki, No. 3, pp. 27—42. (In Russian). https://doi.org/10.32609/0042-8736-2024-3-27-42</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Ahnert T., Forbes K., Friedrich C., Reinhardt D. (2021). Macroprudential FX regulations: Shifting the snowbanks of FX vulnerability? Journal of Financial Economics, Vol. 140, No. 1, pp. 145—174. https://doi.org/10.1016/j.jfineco.2020.10.005</mixed-citation><mixed-citation xml:lang="en">Ahnert T., Forbes K., Friedrich C., Reinhardt D. (2021). Macroprudential FX regulations: Shifting the snowbanks of FX vulnerability? Journal of Financial Economics, Vol. 140, No. 1, pp. 145—174. https://doi.org/10.1016/j.jfineco.2020.10.005</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Albacete N., Lindner P. (2015). Foreign currency borrowers in Austria — evidence from the household finance and consumption survey. Oesterreichische Nationalbank Financial Stability Report, No. 29.</mixed-citation><mixed-citation xml:lang="en">Albacete N., Lindner P. (2015). Foreign currency borrowers in Austria — evidence from the household finance and consumption survey. Oesterreichische Nationalbank Financial Stability Report, No. 29.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Artzner P., Delbaen F., Eber J.-M., Heath D. (1999). Coherent measures of risk. Mathematical Finance, Vol. 9, No. 3, pp. 203—228. https://doi.org/10.1111/1467-9965.00068</mixed-citation><mixed-citation xml:lang="en">Artzner P., Delbaen F., Eber J.-M., Heath D. (1999). Coherent measures of risk. Mathematical Finance, Vol. 9, No. 3, pp. 203—228. https://doi.org/10.1111/1467-9965.00068</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">BCBS (2005). An explanatory note on the Basel II IRB risk weight functions. Basel: Basel Committee on Banking Supervision.</mixed-citation><mixed-citation xml:lang="en">BCBS (2005). An explanatory note on the Basel II IRB risk weight functions. Basel: Basel Committee on Banking Supervision.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">BIS (2020). Measuring the effectiveness of macroprudential policies using supervisory bank-level data. Basel: Bank for International Settlements.</mixed-citation><mixed-citation xml:lang="en">BIS (2020). Measuring the effectiveness of macroprudential policies using supervisory bank-level data. Basel: Bank for International Settlements.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Brown M., Haas R. D. (2010). Foreign currency lending in emerging Europe: Bank-level evidence. EBRD Working Paper, No. 122.</mixed-citation><mixed-citation xml:lang="en">Brown M., Haas R. D. (2010). Foreign currency lending in emerging Europe: Bank-level evidence. EBRD Working Paper, No. 122.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Brzoza-Brzezina M., Kolasa M., Makarski K. (2015). Monetary and macroprudential policy with foreign currency loans. ECB Working Paper, No. 1783. https://doi.org/10.2139/ssrn.2620703</mixed-citation><mixed-citation xml:lang="en">Brzoza-Brzezina M., Kolasa M., Makarski K. (2015). Monetary and macroprudential policy with foreign currency loans. ECB Working Paper, No. 1783. https://doi.org/10.2139/ssrn.2620703</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Choi C. (2014). Impact of FX-related macroprudential measures in Кorea: An assessment. In: K. Chung, S. Kim, H. Park, C. Choi, H. S. Shin (eds.). Volatile capital flows in Korea. New York: Palgrave Macmillan, pр. 187—216. https://doi.org/10.1057/9781137368768_8</mixed-citation><mixed-citation xml:lang="en">Choi C. (2014). Impact of FX-related macroprudential measures in Кorea: An assessment. In: K. Chung, S. Kim, H. Park, C. Choi, H. S. Shin (eds.). Volatile capital flows in Korea. New York: Palgrave Macmillan, pр. 187—216. https://doi.org/10.1057/9781137368768_8</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Claessens S., Ghosh S. R., Mihet R. (2014). Macro-prudential policies to mitigate financial system vulnerabilities. IMF Working Paper, No. 14/155. https://doi.org/10.5089/9781498319546.001</mixed-citation><mixed-citation xml:lang="en">Claessens S., Ghosh S. R., Mihet R. (2014). Macro-prudential policies to mitigate financial system vulnerabilities. IMF Working Paper, No. 14/155. https://doi.org/10.5089/9781498319546.001</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Epure M., Mihai I., Minoiu C., Peydr´o J.-L. (2018). Household credit, global financial cycle, and macroprudential policies: Credit register evidence from an emerging country. IMF Working Paper, No. 18/013. https://doi.org/10.5089/9781484338599.001</mixed-citation><mixed-citation xml:lang="en">Epure M., Mihai I., Minoiu C., Peydr´o J.-L. (2018). Household credit, global financial cycle, and macroprudential policies: Credit register evidence from an emerging country. IMF Working Paper, No. 18/013. https://doi.org/10.5089/9781484338599.001</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Gordy M. (2000). A comparative anatomy of credit risk models. Journal of Banking and Finance, Vol. 24, No. 1—2, pp. 119—149. https://doi.org/10.1016/S0378-4266(99)00054-0</mixed-citation><mixed-citation xml:lang="en">Gordy M. (2000). A comparative anatomy of credit risk models. Journal of Banking and Finance, Vol. 24, No. 1—2, pp. 119—149. https://doi.org/10.1016/S0378-4266(99)00054-0</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Hanson S. G., Kashyap A. K., Stein J. C. (2011). A macroprudential approach to financial regulation. Journal of Economic Perspectives, Vol. 25, No. 1, рр. 3—28. https://doi.org/10.1257/jep.25.1.3</mixed-citation><mixed-citation xml:lang="en">Hanson S. G., Kashyap A. K., Stein J. C. (2011). A macroprudential approach to financial regulation. Journal of Economic Perspectives, Vol. 25, No. 1, рр. 3—28. https://doi.org/10.1257/jep.25.1.3</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Juvenal L., Petrella I. (2024). Unveiling the dance of commodity prices and the global financial cycle. Journal of International Economics, Vol. 150, article 103913. https://doi.org/10.1016/j.jinteco.2024.103913</mixed-citation><mixed-citation xml:lang="en">Juvenal L., Petrella I. (2024). Unveiling the dance of commodity prices and the global financial cycle. Journal of International Economics, Vol. 150, article 103913. https://doi.org/10.1016/j.jinteco.2024.103913</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Lunn A. D., Davies S. J. (1998). A note on generating correlated binary variables. Biometrika, Vol. 85, No. 2, рр. 487—490. https://doi.org/10.1093/biomet/5.2.487</mixed-citation><mixed-citation xml:lang="en">Lunn A. D., Davies S. J. (1998). A note on generating correlated binary variables. Biometrika, Vol. 85, No. 2, рр. 487—490. https://doi.org/10.1093/biomet/5.2.487</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Merton R. (1974). On the pricing of corporate debt: The risk structure of interest rates. Journal of Finance, Vol. 29, No. 2, рр. 449—470. https://doi.org/10.2307/2978814</mixed-citation><mixed-citation xml:lang="en">Merton R. (1974). On the pricing of corporate debt: The risk structure of interest rates. Journal of Finance, Vol. 29, No. 2, рр. 449—470. https://doi.org/10.2307/2978814</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Penikas H. (2020). History of the Basel Internal-Ratings-Based (IRB) credit risk regulation. Model Assisted Statistics and Applications, Vol. 15, рр. 81—98. https://doi.org/10.3233/MAS-190480</mixed-citation><mixed-citation xml:lang="en">Penikas H. (2020). History of the Basel Internal-Ratings-Based (IRB) credit risk regulation. Model Assisted Statistics and Applications, Vol. 15, рр. 81—98. https://doi.org/10.3233/MAS-190480</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Prabheesh K., Anglingkusumo R., Juhro S. M. (2021). The dynamics of global financial cycle and domestic economic cycles: Evidence from India and Indonesia. Economic Modelling, Vol. 94, рр. 831—842. https://doi.org/10.1016/j.econmod.2020.02.024</mixed-citation><mixed-citation xml:lang="en">Prabheesh K., Anglingkusumo R., Juhro S. M. (2021). The dynamics of global financial cycle and domestic economic cycles: Evidence from India and Indonesia. Economic Modelling, Vol. 94, рр. 831—842. https://doi.org/10.1016/j.econmod.2020.02.024</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Pykhtin M. (2004). Multi-factor adjustment. Risk, Vol. 17, No. 3, рр. 85—90.</mixed-citation><mixed-citation xml:lang="en">Pykhtin M. (2004). Multi-factor adjustment. Risk, Vol. 17, No. 3, рр. 85—90.</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Sigmund M. (2021). Assessing macro-prudential policies: The case of FX lending. Journal of Economics and Finance, Vol. 45, рр. 316—359. https://doi.org/10.1007/s12197-020-09524-6</mixed-citation><mixed-citation xml:lang="en">Sigmund M. (2021). Assessing macro-prudential policies: The case of FX lending. Journal of Economics and Finance, Vol. 45, рр. 316—359. https://doi.org/10.1007/s12197-020-09524-6</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">Vasicek O. A. (1987). Probability of loss on loan portfolio. San Francisco, CA: KMV Corporation.</mixed-citation><mixed-citation xml:lang="en">Vasicek O. A. (1987). Probability of loss on loan portfolio. San Francisco, CA: KMV Corporation.</mixed-citation></citation-alternatives></ref><ref id="cit23"><label>23</label><citation-alternatives><mixed-citation xml:lang="ru">Vasicek O. A. (2002). The distribution of loan portfolio value. Risk, Vol. 15, No. 12, pp. 160—162.</mixed-citation><mixed-citation xml:lang="en">Vasicek O. A. (2002). The distribution of loan portfolio value. Risk, Vol. 15, No. 12, pp. 160—162.</mixed-citation></citation-alternatives></ref><ref id="cit24"><label>24</label><citation-alternatives><mixed-citation xml:lang="ru">Vij S., Acharya V. (2021). Foreign currency corporate borrowing: Risks and policy responses. VoxEU, April 29. https://cepr.org/voxeu/columns/foreign-currency-corporate-borrowing-risks-and-policy-responses</mixed-citation><mixed-citation xml:lang="en">Vij S., Acharya V. (2021). Foreign currency corporate borrowing: Risks and policy responses. VoxEU, April 29. https://cepr.org/voxeu/columns/foreign-currency-corporate-borrowing-risks-and-policy-responses</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
