{"title":"Balance-Sheet Interest Rate Risk: A Weighted Lp Approach","authors":"L. Gajek, Elżbieta Krajewska","doi":"10.21314/JOR.2018.395","DOIUrl":null,"url":null,"abstract":"We introduce a new interest rate risk measure that is a product of two factors: one related to the distance between assets and liabilities in the Lp -space of financial instruments, and the other linked to the performance of the financial market. We prove a corresponding immunization inequality, showing that the expected deficit of assets, when compared with liabilities, is bounded from below by a linear function of this measure. We provide comparisons with other interest rate risk measures, such as duration gap and M2 , and give examples of applications to some models of interest rates.","PeriodicalId":46697,"journal":{"name":"Journal of Risk","volume":" ","pages":""},"PeriodicalIF":0.3000,"publicationDate":"2018-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Risk","FirstCategoryId":"96","ListUrlMain":"https://doi.org/10.21314/JOR.2018.395","RegionNum":4,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"BUSINESS, FINANCE","Score":null,"Total":0}
引用次数: 2
Abstract
We introduce a new interest rate risk measure that is a product of two factors: one related to the distance between assets and liabilities in the Lp -space of financial instruments, and the other linked to the performance of the financial market. We prove a corresponding immunization inequality, showing that the expected deficit of assets, when compared with liabilities, is bounded from below by a linear function of this measure. We provide comparisons with other interest rate risk measures, such as duration gap and M2 , and give examples of applications to some models of interest rates.
期刊介绍：
This international peer-reviewed journal publishes a broad range of original research papers which aim to further develop understanding of financial risk management. As the only publication devoted exclusively to theoretical and empirical studies in financial risk management, The Journal of Risk promotes far-reaching research on the latest innovations in this field, with particular focus on the measurement, management and analysis of financial risk. The Journal of Risk is particularly interested in papers on the following topics: Risk management regulations and their implications, Risk capital allocation and risk budgeting, Efficient evaluation of risk measures under increasingly complex and realistic model assumptions, Impact of risk measurement on portfolio allocation, Theoretical development of alternative risk measures, Hedging (linear and non-linear) under alternative risk measures, Financial market model risk, Estimation of volatility and unanticipated jumps, Capital allocation.
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