A systematic approach to pricing and hedging international derivatives with interest rate risk: analysis of international derivatives under stochastic interest rates

1996 ◽  
Vol 3 (4) ◽  
pp. 295-317 ◽  
Author(s):  
Rüdiger Frey ◽  
Daniel Sommer
Keyword(s):  
Interest Rate ◽  
Risk Analysis ◽  
Interest Rates ◽  
Systematic Approach ◽  
Interest Rate Risk ◽  
Stochastic Interest Rates ◽  
Rate Risk ◽  
Stochastic Interest

A Bayesian Pricing of Longevity Derivatives with Interest Rate Risks

2017 ◽  
Vol 0 (0) ◽  
Author(s):  
Atsuyuki Kogure ◽  
Takahiro Fushimi
Keyword(s):  
Interest Rate ◽  
Interest Rates ◽  
Mortality Risk ◽  
Interest Rate Risk ◽  
Stochastic Interest Rates ◽  
Rate Risk ◽  
Stochastic Interest ◽  
The Interest Rate ◽  
Longevity Bonds ◽  
Carter Model

AbstractMortality-linked securities such as longevity bonds or longevity swaps usually depend on not only mortality risk but also interest rate risk. However, in the existing pricing methodologies, it is often the case that only the mortality risk is modeled to change in a stochastic manner and the interest rate is kept fixed at a pre-specified level. In order to develop large and liquid longevity markets, it is essential to incorporate the interest rate risk into pricing mortality-linked securities. In this paper we tackle the issue by considering the pricing of longevity derivatives under stochastic interest rates following the CIR model. As for the mortality modeling, we use a two-factor extension of the Lee-Carter model by noting the recent studies which point out the inconsistencies of the original Lee-Carter model with observed mortality rates due to its single factor structure. To address the issue of parameter uncertainty, we propose using a Bayesian methodology both to estimate the models and to price longevity derivatives in line with (Kogure, A., and Y. Kurachi. 2010. “A Bayesian Approach to Pricing Longevity Risk Based on Risk Neutral Predictive Distributions.”

scholarly journals Valuing strategic investments under stochastic interest rates: A real option approach

2019 ◽  
Vol 16 (3) ◽  
pp. 89-97
Author(s):  
Luca Vincenzo Ballestra ◽  
Graziella Pacelli ◽  
Davide Radi
Keyword(s):  
Interest Rate ◽  
Option Pricing ◽  
Interest Rates ◽  
Real Option ◽  
Interest Rate Risk ◽  
Stochastic Interest Rates ◽  
Investment Projects ◽  
Rate Risk ◽  
Stochastic Interest ◽  
The Interest Rate

One of the most challenging issues in management is the valuation of strategic investments. In particular, when undertaking projects such as an expansion or the launch of a new brand, or an investment in R&D and intellectual capital, which are characterized by a long-term horizon, a firm has also to face the risk due to the interest rate. In this work, we propose to value investments subject to interest rate risk using a real options approach (Schulmerich, 2010). This task requires the typical technicalities of option pricing, which often rely on complex and time-consuming techniques to value investment projects. For instance, Schulmerich (2010) is, to the best of our knowledge, the first work where the interest rate risk is considered for real option analysis. Nevertheless, the valuation of investment projects is done by employing binomial trees, which are computationally very expensive. In the current paper, a different modeling framework (in continuous-time) for real option pricing is proposed which allows one to account for interest rate risk and, at the same time, to reduce computational complexity. In particular, the net present value of the cash inflows is specified by a geometric Brownian motion and the interest rate is modeled by using a process of Vasicek type, which is calibrated to real market data. Such an approach yields an explicit formula for valuing various kinds of investment strategies, such as the option to defer and the option to expand. Therefore, the one proposed is the first model in the field of real options that accounts for the interest rate risk and, at the same time, offers an easy to implement formula which makes the model itself very suitable for practitioners. An empirical analysis is presented which illustrates the proposed approach from the practical point-of-view and highlights the impact of stochastic interest rates in investment valuation.

scholarly journals Who Bears Interest Rate Risk?

2018 ◽  
Vol 32 (8) ◽  
pp. 2921-2954 ◽  
Author(s):  
Peter Hoffmann ◽  
Sam Langfield ◽  
Federico Pierobon ◽  
Guillaume Vuillemey
Keyword(s):  
Interest Rate ◽  
Interest Rates ◽  
Banking Sector ◽  
Balance Sheet ◽  
Interest Rate Risk ◽  
Cross Sectional ◽  
Net Worth ◽  
Loan Rate ◽  
Rate Risk ◽  
European Banking

Abstract We study the allocation of interest rate risk within the European banking sector using novel data. Banks’ exposure to interest rate risk is small on aggregate, but heterogeneous in the cross-section. Contrary to conventional wisdom, net worth is increasing in interest rates for approximately half of the institutions in our sample. Cross-sectional variation in banks’ exposures is driven by cross-country differences in loan-rate fixation conventions for mortgages. Banks use derivatives to partially hedge on-balance-sheet exposures. Residual exposures imply that changes in interest rates have redistributive effects within the banking sector. Received October 31, 2017; editorial decision August 30, 2018 by Editor Philip Strahan. Authors have furnished an Internet Appendix, which is available on the Oxford University Press Web site next to the link to the final published paper online.

scholarly journals Measuring Interest Rate Risk with Embedded Option Using HPL-MC Method in Fuzzy and Stochastic Environment

2020 ◽  
Vol 2020 ◽  
pp. 1-13
Author(s):  
Enlin Tang ◽  
Wei Du
Keyword(s):  
Interest Rate ◽  
Interest Rates ◽  
Term Structure ◽  
Interest Rate Risk ◽  
Extended Model ◽  
Term Structure Model ◽  
Continuous Innovation ◽  
Liability Management ◽  
Rate Risk ◽  
Embedded Options

Under the condition of continuous innovation of financial derivatives and marketization of interest rate, interest rates fluctuate more frequently and fiercely, and the measurement of interest rate risk also attracts more attention. Under the premise that the fluctuation of interest rate follows fuzzy stochastic process, based on the option characteristics of financial instruments with embedded option, this paper takes effective duration and effective convexity as tools to measure interest rate risk when embedded options exist, tries to choose CIR extended model as term structure model, and uses the Monte Carlo method for hybrid low deviation sequences (HPL-MC) to analyze the prepayment characteristics of MBS, a representative financial instrument with embedded options, when interest rates fluctuate; on this basis, the effectiveness of effective duration management of interest rate risk is demonstrated with asset liability management cases of commercial banks.

Basel I to Basel III: Impact of Credit Risk and Interest Rate Risk of Banks in India

2018 ◽  
Vol 17 (1_suppl) ◽  
pp. S83-S111 ◽  
Author(s):  
Noor Ulain Rizvi ◽  
Smita Kashiramka ◽  
Shveta Singh
Keyword(s):  
Interest Rate ◽  
Credit Risk ◽  
Interest Rates ◽  
Banking System ◽  
Interest Rate Risk ◽  
Theoretical Background ◽  
Capital Adequacy ◽  
Basel Iii ◽  
Rate Risk ◽  
Net Interest Margin

The study explores the theoretical background of Basel III and investigates the drivers of interest rate risk and credit risk of banks in various parlances, namely, pre and post the financial crisis, phases of implementation and ownership on a sample of 36 listed banks in India. The findings indicate that the high capital adequacy requirement (CAR) exhibits a positive relation with gross non-performing assets (GNPAs) and net interest margin (NIM). This is perhaps one of the major drawbacks of Basel implementation, which may become a cause of lower GDP in the future as explained in the findings of the literature. Originality/value: This article is perhaps the first attempt of its kind to empirically examine the bank-specific, macroeconomic variables and link it with the Basel implementation in the Indian banking system for the time period 2002–2015. This study endeavours to enhance the existing empirical research in the field and give insights into the role of various factors on GNPAs and interest rates (with regards to Indian banks).

scholarly journals INTEREST RATE RISK IN TURKISH FINANCIAL MARKETS ACROSS DIFFERENT TIME PERIODS

2014 ◽  
Vol 16 (3) ◽  
pp. 183-204
Author(s):  
Durmus Özdemir ◽  
Harald Schmidbauer
Keyword(s):  
Interest Rate ◽  
Interest Rates ◽  
Stock Exchange ◽  
Risk Measure ◽  
Generalized Pareto Distribution ◽  
Interest Rate Risk ◽  
Negative Effects ◽  
Good Tool ◽  
Generalized Pareto ◽  
Rate Risk

A Measuring the risk associated with interest rates is important since it is beneficial in taking measures before negative effects can take place in an economy. We obtain a risk measure for interest rates by fitting the generalized Pareto distribution (GPD) to positive extreme day-to-day changes of the interest rate, using data from the Istanbul Stock Exchange (ISE) Second Hand Bond Market, namely Government Bond interest rate closing quotations, for the time period 2001 through 2009. Although the use of the GPD in the context of absolute interest rates is well  ocumented in literature, our approach is different insofar and contributes to the literature as changes in interest rates constitute the target of our analysis, reflecting the idea that risk arises from abrupt changes in interest rate rather than in interest rate levels themselves. Our study clearly shows that the GPD, when applied to interest rate changes, provides a good tool for interest rate risk assessment, and permit a period-specific risk evaluation.  Keyword: Interest rate risk; covered interest parity; Turkey; generalized Pareto distributionJEL Classification: G1; C1

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