NATURAL HEDGES WITH IMMUNIZATION STRATEGIES OF MORTALITY AND INTEREST RATES

2020 ◽  
Vol 50 (1) ◽  
pp. 155-185
Author(s):  
Tzuling Lin ◽  
Cary Chi-liang Tsai
Keyword(s):  
Interest Rates ◽  
Life Insurance ◽  
Value At Risk ◽  
Interest Rate Risk ◽  
Force Of Mortality ◽  
Life Annuity ◽  
Immunization Strategies ◽  
Parallel Movement ◽  
Proportional Change ◽  
Force Of Interest

AbstractIn this paper, we first derive closed-form formulas for mortality-interest durations and convexities of the prices of life insurance and annuity products with respect to an instantaneously proportional change and an instantaneously parallel movement, respectively, in μ* (the force of mortality-interest), the addition of μ (the force of mortality) and δ (the force of interest). We then build several mortality-interest duration and convexity matching strategies to determine the weights of whole life insurance and deferred whole life annuity products in a portfolio and evaluate the value at risk and the hedge effectiveness of the weighted portfolio surplus at time zero. Numerical illustrations show that using the mortality-interest duration and convexity matching strategies with respect to an instantaneously proportional change in μ* can more effectively hedge the longevity risk and interest rate risk embedded in the deferred whole life annuity products than using the mortality-only duration and convexity matching strategies with respect to an instantaneously proportional shift or an instantaneously constant movement in μ only.

scholarly journals The Annual Premium of Life Insurance on The Joint-Life Status based on The 2011 Indonesian Mortality Table

2020 ◽  
Vol 3 (3) ◽  
pp. 263-270
Author(s):  
Stacia Litha Suryani ◽  
Rudi Ruswandi ◽  
Ahmad Faisol
Keyword(s):  
Interest Rates ◽  
Life Insurance ◽  
Equivalence Principle ◽  
Life And Death ◽  
Premium Payment ◽  
Life Chances ◽  
Force Of Mortality ◽  
Mortality Table ◽  
Annual Premium ◽  
Parent Child

Life insurance is insurance that protects against risks to someone's life. Joint Life Insurance is insurance where the life and death rules are a combination of two or more factors, such as husband-wife or parent-child, and if the first death occurs, then the premium payment process is stopped. The annual premium is the premium paid annually. In this study, the annual premium is calculated continuously with the equivalence principle based on the 2011 Indonesian Mortality Table.  The calculation shows that the amount of annual premiums for 2 (two) and 3 (three) people is not much different. The factors that influence the annual premium amount are the duration insurance period, age at signing the policy, interest rates, life chances, force of mortality, and the number of benefits.

scholarly journals Interest rate risk measurement in Brazilian sovereign markets

2004 ◽  
Vol 34 (2) ◽  
pp. 321-344 ◽  
Author(s):  
Caio Ibsen Rodrigues de Almeida ◽  
Antonio Marcos Duarte Júnior ◽  
Cristiano Augusto Coelho Fernandes
Keyword(s):  
Probability Distribution ◽  
Interest Rates ◽  
Value At Risk ◽  
Risk Measure ◽  
Interest Rate Risk ◽  
Fixed Income ◽  
Market Risks ◽  
Term Structures ◽  
Spread Function ◽  
Interesting Possibility

Fixed income emerging markets are an interesting investment alternative. Measuring market risks is mandatory in order to avoid unexpected huge losses. The most used market risk measure is the Value at Risk, based on the profit-loss probability distribution of the portfolio under consideration. Estimating this probability distribution requires the prior estimation of the probability distribution of term structures of interest rates. An interesting possibility is to estimate term structures using a decomposition of the spread function into a linear combination of Legendre polynomials. Numerical examples from the Brazilian sovereign fixed income international market illustrate the practical use of the methodology.

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.

scholarly journals Immunization Strategies for Funding Multiple Inflation-Linked Retirement Income Benefits

Risks ◽  
2021 ◽  
Vol 9 (4) ◽  
pp. 60
Author(s):  
Cláudia Simões ◽  
Luís Oliveira ◽  
Jorge M. Bravo
Keyword(s):  
Interest Rate ◽  
Yield Curve ◽  
Risk Measure ◽  
Management Strategies ◽  
Interest Rate Risk ◽  
Insurance Companies ◽  
Retirement Income ◽  
Investment Strategies ◽  
Immunization Strategies ◽  
The Impact

Protecting against unexpected yield curve, inflation, and longevity shifts are some of the most critical issues institutional and private investors must solve when managing post-retirement income benefits. This paper empirically investigates the performance of alternative immunization strategies for funding targeted multiple liabilities that are fixed in timing but random in size (inflation-linked), i.e., that change stochastically according to consumer price or wage level indexes. The immunization procedure is based on a targeted minimax strategy considering the M-Absolute as the interest rate risk measure. We investigate to what extent the inflation-hedging properties of ILBs in asset liability management strategies targeted to immunize multiple liabilities of random size are superior to that of nominal bonds. We use two alternative datasets comprising daily closing prices for U.S. Treasuries and U.S. inflation-linked bonds from 2000 to 2018. The immunization performance is tested over 3-year and 5-year investment horizons, uses real and not simulated bond data and takes into consideration the impact of transaction costs in the performance of immunization strategies and in the selection of optimal investment strategies. The results show that the multiple liability immunization strategy using inflation-linked bonds outperforms the equivalent strategy using nominal bonds and is robust even in a nearly zero interest rate scenario. These results have important implications in the design and structuring of ALM liability-driven investment strategies, particularly for retirement income providers such as pension schemes or life insurance companies.

scholarly journals PERHITUNGAN PREMI ASURANSI JOINT LIFE DENGAN MODEL VASICEK DAN CIR

2019 ◽  
Vol 8 (3) ◽  
pp. 246
Author(s):  
I MADE WAHYU WIGUNA ◽  
KETUT JAYANEGARA ◽  
I NYOMAN WIDANA
Keyword(s):  
Stochastic Process ◽  
Interest Rates ◽  
Life Insurance ◽  
Insurance Premium ◽  
Insurance Contract ◽  
Insurance Company ◽  
Vasicek Model ◽  
Cir Model ◽  
Premium Payment ◽  
Premium Price

Premium is a sum of money that must be paid by insurance participants to insurance company, based on  insurance contract. Premium payment are affected by interest rates. The interest rates change according to stochastic process. The purpose of this work is to calculate the price of joint life insurance premiums with Vasicek and CIR models. The price of a joint life insurance premium with Vasicek and CIR models, at the age of the insured 35 and 30 years has increased until the last year of the contract. The price of a joint life insurance premium with Vasicek model is more expensive than the premium price using CIR model.

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 Mechanisms of Protection from Interest Rate Risk with Reference to the Life Insurance Market in Montenegro

2018 ◽  
Vol 7 (1) ◽  
pp. 17-42
Author(s):  
Milijana Novović Burić ◽  
Vladimir Kašćelan ◽  
Milivoje Radović ◽  
Ana Lalević Filipović
Keyword(s):  
Risk Management ◽  
Interest Rate ◽  
Life Insurance ◽  
Financial Management ◽  
Financial Stability ◽  
Interest Rate Risk ◽  
Economic Security ◽  
Insurance Market ◽  
Insurance Companies ◽  
Rate Risk

Abstract Insurance companies are facing major challenges that point to the need for control process and risk management. Risk management in insurance has a direct impact on solvency, economic security, and overall financial stability of insurance companies. It is very important for insurance companies to adequately calculate risks to which they are exposed. Asset liability management (ALM), as an integrated approach to financial management, requires simultaneous decision-making about categories and values of assets and liabilities in order to establish the optimum volume and the ratio of assets and liabilities, with the understanding of complexity of the financial market in which financial institutions operate. ALM focuses on a significant number of risks, whereby the emphasis in this paper will be on interest rate risk which indicates potential losses that may reflect in a lower interest margin, a lower value of assets or both, in terms of changes in interest rates. In the above context, the aim of this paper is to show how to protect from interest rate changes and how these changes influence the insurance market in Montenegro, both from the theoretical and the practical point of view. The authors consider this to be an interesting and very important topic, especially because the life insurance market in Montenegro is underdeveloped and subject to fluctuations. Also, taking into account the fact that Montenegro is a country that has been making serious efforts to join the EU, it is expected that insurance companies in Montenegro will strengthen their financial position in the market even using the ALM traditional techniques, which is shown in this paper.

scholarly journals Collective Value-At-Risk (Colvar) In Life Insurance Collection

2018 ◽  
Vol 7 (3.7) ◽  
pp. 25
Author(s):  
Abdul Talib Bon ◽  
Muhammad Iqbal Al-Banna Ismail ◽  
Sukono . ◽  
Adhitya Ronnie Effendie
Keyword(s):  
At Risk ◽  
Standard Deviation ◽  
Life Insurance ◽  
Value At Risk ◽  
Risk Model ◽  
Risk Measures ◽  
Model Development ◽  
Insurance Company ◽  
Insurance Claims ◽  
Level Of Significance

Analysis of risk in life insurance claims is very important to do by the insurance company actuary. Risk in life insurance claims are generally measured using the standard deviation or variance. The problem is, that the standard deviation or variance which is used as a measure of the risk of a claim can not accommodate any claims of risk events. Therefore, in this study developed a model called risk measures Collective Modified Value-at-Risk. Model development is done for several models of the distribution of the number of claims and the distribution of the value of the claim. Collective results of model development Modified Value-at-Risk is expected to accommodate any claims of risk events, when given a certain level of significance  

scholarly journals Negative Interest Rate Risk. Atavism or Normalization of Central Banks’ Monetary Policy

2019 ◽  
Vol 3 (342) ◽  
pp. 89-116
Author(s):  
Irena Pyka ◽  
Aleksandra Nocoń
Keyword(s):  
Monetary Policy ◽  
Interest Rate ◽  
Interest Rates ◽  
Financial Stability ◽  
Global Financial Crisis ◽  
Central Banks ◽  
Interest Rate Risk ◽  
Interest Rate Policy ◽  
Rate Policy ◽  
Negative Interest Rate Policy

In the face of the global financial crisis, central banks have used unconventional monetary policy instruments. Firstly, they implemented the interest rate policy, lowering base interest rates to a very low (almost zero) level. However, in the following years they did not undertake normalizing activities. The macroeconomic environment required further initiatives. For the first time in history, central banks have adopted Negative Interest Rate Policy (NIRP). The main aim of the study is to explore the risk accompanying the negative interest rate policy, aiming at identifying channels and consequences of its impact on the economy. The study verifies the research hypothesis stating that the risk of negative interest rates, so far unrecognized in Theory of Interest Rate, is a consequence of low effectiveness of monetary policy normalization and may adopt systemic nature, by influencing – through different channels – the financial stability and growth dynamics of the modern world economy.

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