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Questions tagged [actuarial-science]

Actuarial science is a discipline that uses mathematics and statistics to assess risk. The mathematics involved in actuarial science includes probability, statistics, finance, life insurance mathematics, and more.

Actuarial science is a discipline that uses mathematics and statistics to assess risk. The mathematics involved in actuarial science includes probability, statistics, finance, life insurance mathematics, computer science and more.

Originally, actual science used deterministic models in the construction of tables and premiums. It has gone through revolutionary changes since the proliferation of high-speed computers and the union of stochastic actuarial models with modern financial theory.

To be used with more specific tags, such as , and . See https://en.wikipedia.org/wiki/Actuarial_science for more information.

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De Moivre's population recursive formula

For a de Moivre's (i mean, that follows de Moivre's law) population with unknown parameter $\omega$, knowing $\dot{e}_{x+1}$ is given. From the recursive formula find $\dot{e}_x$ I am not certain which formula should i use here. Appreciate any…
mkropkowski
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Financial Mathematics Question: Payable

I am trying to solve the following problem and I am not quite sure what it means. A loan of 100,000 is payable over five years with monthly payments of 60,000 commencing one month after the inception date. The loan repayment is 2,000 per month and…
hyg17
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Samantha age 40, buys a 20-year certain-and-life annuity due with a single premium. Find the reserve 5 years after issue.

Samantha age 40, buys a 20-year certain-and-life annuity due with a single premium. The annuity makes annual payments of $2,000$. If $i = 6\%$ and you are given the following table, find the reserve 5 years after issue. (hint: the benefit is…
queence
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given a discount rate find annual effective rate of interest?

I am reviewing my first midterm and my professor did not provide the solutions to the problems on the midterm when she returned the exam. So I need help with one of the problems I got wrong and am still struggling on. "Your are given a discount rate…
rex1637
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Effective Rate of Interest and Inflation Problem

I'm trying to solve the following question from a past SOA FM exam, but there are no posted solutions so I'm not sure if I'm headed in the right direction. John deposits 10, 000 in a saving account which he assumes is paying 7% per annum interest…
Annie
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loan repayment- finding the loan if end payment increases by certain amount

What happens if a loan has an effective annual interest rate $i = 10$% is repaid with 10 yearly payments starting one year after the loan. The amount of the first payment is $500$ but each subsequent payment is $10$ larger than the previous…
comp890
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How do I evaluate a decreasing geometric progression to determine Outstanding Loan Balance

A loan is amortized over 5 years with monthly payments at nominal interest rate i=9% convertible monthly. First payment of $1000 is to be paid 1 month before loan date. Each succeeding monthly payments will decrease by 2% after the first payment.…
swordlordswamplord
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