Alternative Investment Strategies for the Issuers of Equity Linked Life Insurance Policies with an Asset Value Guarantee

1979 ◽  
Vol 52 (1) ◽  
pp. 63 ◽  
Author(s):  
Michael J. Brennan ◽  
Eduardo S. Schwartz
1977 ◽  
Vol 12 (4) ◽  
pp. 651-652 ◽  
Author(s):  
Michael J. Brennan ◽  
Eduardo S. Schwartz

An equity-linked life insurance policy with an asset value guarantee (ELPAVG) is an insurance policy whose benefit payable on death or at maturity consists of the greater of some guaranteed amount and the value of a reference portfolio which is defined by the deemed investment of a predetermined component of the policy premium in a portfolio of common stocks or mutual fund–the reference fund. In an earlier paper we demonstrated that the benefit payable under an ELPAVG could be decomposed into the known guaranteed amount and an immediately exercisable call option to purchase the reference portfolio for an exercise price equal to the guaranteed amount. The principles of the option pricing model were then employed to derive the equilibrium premium for both a single premium ELPAVG contract and a periodic premium contract. It was further noted that the hedging arguments, which are the core of most of the recent theory of option pricing, could be employed to derive an investment strategy for the insurance company which would eliminate the risks associated with the sale of ELPAVGs: this is an important result, for ELPAVGs may pose a significant threat to the solvency of insurance companies since the risks of loss under different contracts are not independent, but are commonly related to the overall performance of the reference fund. Actuaries have responded to this threat by attempting to determine a level of reserves sufficient to reduce the probability of ruin to an acceptable level. On the other hand, adoption of the riskless investment strategy in theory eliminates the need to hold any reserves except against mortality risk.


Crisis ◽  
2010 ◽  
Vol 31 (4) ◽  
pp. 217-223 ◽  
Author(s):  
Paul Yip ◽  
David Pitt ◽  
Yan Wang ◽  
Xueyuan Wu ◽  
Ray Watson ◽  
...  

Background: We study the impact of suicide-exclusion periods, common in life insurance policies in Australia, on suicide and accidental death rates for life-insured individuals. If a life-insured individual dies by suicide during the period of suicide exclusion, commonly 13 months, the sum insured is not paid. Aims: We examine whether a suicide-exclusion period affects the timing of suicides. We also analyze whether accidental deaths are more prevalent during the suicide-exclusion period as life-insured individuals disguise their death by suicide. We assess the relationship between the insured sum and suicidal death rates. Methods: Crude and age-standardized rates of suicide, accidental death, and overall death, split by duration since the insured first bought their insurance policy, were computed. Results: There were significantly fewer suicides and no significant spike in the number of accidental deaths in the exclusion period for Australian life insurance data. More suicides, however, were detected for the first 2 years after the exclusion period. Higher insured sums are associated with higher rates of suicide. Conclusions: Adverse selection in Australian life insurance is exacerbated by including a suicide-exclusion period. Extension of the suicide-exclusion period to 3 years may prevent some “insurance-induced” suicides – a rationale for this conclusion is given.


The problem of computing risk measures of life insurance policies is complicated by the fact that two different probability measures, the real-world probability measure along the risk horizon and the risk-neutral one along the remaining time interval, have to be used. This implies that a straightforward application of the Monte Carlo method is not available and the need arises to resort to time consuming nested simulations or to the least squares Monte Carlo approach. We propose to compute common risk measures by using the celebrated binomial model of Cox, Ross, and Rubinstein (1979) (CRR). The main advantage of this approach is that the usual construction of the CRR model is not influenced by the change of measure and a unique lattice can be used along the whole policy duration. Numerical results highlight that the proposed algorithm computes highly accurate values.


Author(s):  
Mihir Dash ◽  
Lalremtluangi C. ◽  
Snimer Atwal ◽  
Supriya Thapar

2006 ◽  
Vol 32 (1) ◽  
pp. 14-38 ◽  
Author(s):  
Kathryn A. Wilkens ◽  
Jean L. Heck ◽  
Steven J. Cochran

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