Actuarial Societies
Insurance
Probability
Financial Math and Markets
Brain Teasers
100

What actuarial society do healthcare actuaries get credentialed with?

Society of Actuaries

100

Policyholders pay this monthly to insurance companies 

Premiums 

100

Consider two events A and B with Pr(A) = 0.4 and Pr(B) = 0.7. Determine the maximum and minimum possible values of Pr(A ∩ B)


(0.1, 0.4)


100

P0 = D1 / (r - g) is the formula known as

Bonus: give three names for the variable "r"

the Gordon Growth Formula

-

Cost of equity, required rate of return, discount rate, ...

100

I have keys but no locks. I have space but no room. I can enter, but can't go outside, what am I?

A computer keyboard

200

Name 6 Pre-ASA exams

ASA: P, FM, IFM, LTAM, STAM, SRM, (PA)

New: (FAM), (ALTAM / ASTAM)

200

On a balance sheet, these are liabilities that reflect an insurer's financial obligations with respect to the insurance policies it has issued

Reserves 

200

The probability that a randomly chosen male has a blood circulation problem is 0.25. Males who have a blood circulation problem are twice as likely to be smokers as those who do not have a blood circulation problem.

Calculate the probability that a male has a blood circulation problem, given that he is a smoker.


2/5

200

41) Which of the following statements about market anomalies is/are true? 

I. For IPOs, the high returns observed in the first few days after a new issue are often followed by relatively poor performance in the years ahead, suggesting that investors underreact to the initial news. 

II. Investors typically overreact to earning announcements, causing a subsequent price adjustment. 

III. The momentum effect is inconsistent with weak-form market efficiency.

III only

300

What are the two levels of designation an actuary can receive?

Associate and Fellow

300

name 5 companies that sell life insurance 

NYL, MetLife, Prudential, MassMutual, Lincoln, John Hancock, Guardian, Pac Life, Equitable/AXA, State Farm, GA, MOO, Transamerica, AIG...

300

If 12 balls are thrown at random into 20 boxes, what is the probability that no box will receive more than one ball?


20! / (8! * 2012)

300

Stocks F and J are valued using the dividend discount model. The required annual effective rate of return is 8.8%. The dividend of Stock F has an annual growth rate of g and the dividend of Stock J has an annual growth rate of –g. The dividends of both stocks are paid annually on the same date. The value of Stock F is twice the value of Stock J. The next dividend on Stock F is half of the next dividend on Stock J. Calculate g.

5.3

300

You are given a 3-liter jug and a 4-liter jug. You can fill each jug with water, pour water from one jug into the other, and discard the water from each jug. There are no additional measuring devices. You start with no water in either jug. How can we measure exactly 2 liters of water in the 4-liter jug?

Answer: 

- Fill the 3 liter jug all the way 

- Pour that water into the 4 liter jug (now 3 liters in 4-liter jug and 0 liters in 3 liter jug)

- Fill the 3 liter jug again (now 3 liters in both jugs)

- Pour the 3 liter jug into the 4 liter jug (2 liters in 3 liter jug and 4 liters in 4 liter jug)

- Discard of the water in the 4 liter jug (now 2 liters in 3 liter jug and 0 in 4 liter jug)

- Pour 3 liter jug into 4 liter jug (now 0 liters in 3 liter jug and 2 liters in 4 liter jug)

400

How many exams to be an FCAS

10
400

RBC stands for Risk-Based ______

Capital

400

The owner of an automobile insures it against damage by purchasing an insurance policy with a deductible of 250. In the event that the automobile is damaged, repair costs can be modeled by a uniform random variable on the interval (0, 1500). 

Calculate the standard deviation of the insurance payment in the event that the automobile is damaged.

403

400

David can receive one of the following two payment streams: 

(i) 100 at time 0, 200 at time n years, and 300 at time 2n years 

(ii) 600 at time 10 years 

At an annual effective interest rate of i, the present values of the two streams are equal. 

vn = 0.76, calculate i.

3.5%

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