Calculating Actuarial Present Value and Variance for Whole Life Insurance

In summary, Actuarial Mathematics is a branch of mathematics that applies statistical methods and probability theory to assess risk in the insurance and financial industries. The key concepts in Actuarial Mathematics include probability, statistics, financial mathematics, and economics. It is commonly used in the insurance industry for determining premiums and risk management, as well as in the financial sector for investment decisions. To be an Actuarial Mathematician, one needs strong mathematical and statistical skills, as well as a solid understanding of economics and finance. The steps involved in solving an Actuarial Mathematics problem include identifying the problem, gathering and analyzing relevant data, applying mathematical and statistical techniques, and interpreting and communicating the results. It is also important to consider ethical and legal implications and to
  • #1
Jrb599
24
0

Homework Statement


If delta(t) = 0.2/(1+0.05*t) and s(x)= 1-(x/100) for 0<x<100, calclulate
a. For a whole life insurance issued at age x, the actuarial present value and the variance of the present value of the benefits


Homework Equations



Present Value = Int(exp(-delta*t)) *Mu(t+x)*tPx

The Attempt at a Solution



I try to integrate the exponentional because the Mu and P can be pulled out but get a weird situation. Any thoughts or help?
 
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  • #2
What's tPx?
 
  • #3
s(x+t)/s(x)

For the Mu(x+t)*tPx you should get 1/(100-x)
 

Related to Calculating Actuarial Present Value and Variance for Whole Life Insurance

What is Actuarial Mathematics?

Actuarial Mathematics is a branch of mathematics that applies statistical methods and probability theory to assess risk in the insurance and financial industries. It involves analyzing and evaluating data to determine the likelihood of future events and their potential financial impact.

What are the key concepts in Actuarial Mathematics?

The key concepts in Actuarial Mathematics include probability, statistics, financial mathematics, and economics. Other important concepts include mortality and morbidity tables, life expectancy, and discounting.

What are some common applications of Actuarial Mathematics?

Actuarial Mathematics is commonly used in the insurance industry to determine premiums, policy pricing, and risk management. It is also used in the financial sector for investment decisions and managing financial risks.

What skills are needed to be an Actuarial Mathematician?

To be an Actuarial Mathematician, one needs strong mathematical and statistical skills, as well as a solid understanding of economics and finance. Good communication and problem-solving skills are also important.

What are the steps involved in solving an Actuarial Mathematics problem?

The steps involved in solving an Actuarial Mathematics problem include identifying the problem, gathering and analyzing relevant data, applying mathematical and statistical techniques, and interpreting and communicating the results. It is also important to consider any ethical and legal implications of the problem and to continuously update and reassess the solution as new information becomes available.

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