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.

scholarly journals Embedded Options Impact On Interest Rate Risk And Capital Adequacy

2011 ◽  
Vol 15 (4) ◽  
pp. 11
Author(s):  
Robert Brooks ◽  
Benton E. Gup
Keyword(s):  
Interest Rate ◽  
Interest Rates ◽  
Interest Rate Risk ◽  
Capital Adequacy ◽  
Risk Exposure ◽  
Rate Risk ◽  
Embedded Options

<span>In this article we consider cases in which a bank finances some option-embedded assets with option embedded liabilities and with equity. We show that risk-based capital guidelines that do not account for these interest sensitive options can be very misleading with regard to the actual interest rate exposure. In extreme cases, any change in interest rates can result in a deterioration in the value of such unhedged positions even though there may be no risk-exposure as measured by traditional means.</span>

Convexity Analysis of Option Embedded Bonds

2004 ◽  
Vol 12 (1) ◽  
pp. 23-49
Author(s):  
Seung Hyeon O
Keyword(s):  
Interest Rate ◽  
Interest Rates ◽  
Term Structure ◽  
Factor Model ◽  
Real Term ◽  
Interest Rate Risk ◽  
Vector Model ◽  
Convexity Property ◽  
Rate Risk ◽  
Bond Portfolio

Interest rate risk hedge strategies usually assume that term structure of interest rates in moving under a specific way. If a real term structure is moving differently from the assumed term structure movement, the interest rate risk hedge strategies assuming the special term structure movement may incur unexpected large loss for a bond portfolio manager. Hence an interest rate risk hedge strategy which could be effective under various types of term structure movements has been strongly needed by bond portfolio managers. Duration vector strategies have been developed to satisfy this practical need. To allow various types of term structure movements, duration vector strategies assume multi-factor models for the term structure movement. When a duration vector strategy is considered as a generalization of a duration strategy which is a single factor model for the term structure movement, there will be a generalized concept which measures convexity of a bond under the duration vector model. This study identifies the convexity property of an option embedded bond portfolio under ‘key rate duration model‘ which is a kind of duration vector model suggested by Ho (1992).

scholarly journals Risk Management for Bonds with Embedded Options

Mathematics ◽  
2020 ◽  
Vol 8 (5) ◽  
pp. 790
Author(s):  
Antonio Díaz ◽  
Marta Tolentino
Keyword(s):  
Risk Management ◽  
Interest Rate ◽  
Interest Rates ◽  
Interest Rate Risk ◽  
Interest Rate Models ◽  
Management Measures ◽  
Interest Rate Risk Management ◽  
Embedded Options ◽  
The Interest Rate ◽  
Interest Rate Change

This paper examines the behavior of the interest rate risk management measures for bonds with embedded options and studies factors it depends on. The contingent option exercise implies that both the pricing and the risk management of bonds requires modelling future interest rates. We use the Ho and Lee (HL) and Black, Derman, and Toy (BDT) consistent interest rate models. In addition, specific interest rate measures that consider the contingent cash-flow structure of these coupon-bearing bonds must be computed. In our empirical analysis, we obtained evidence that effective duration and effective convexity depend primarily on the level of the forward interest rate and volatility. In addition, the higher the interest rate change and the lower the volatility, the greater the differences in pricing of these bonds when using the HL or BDT models.

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