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Risk Latte - FEAT 2
Financial Engineering Aptitude Test
FEAT 2

Team Latte
Nov 24, 2005

Problem 1

John and David work for Mr. Boss's shop. Mr. Boss finds out that $100 is missing from the cash box, which implies one of these two persons must have stolen it. He talks to both of them separately and neither of them knows what transpires in the conversation of Mr. Boss with the other. Mr. Boss says to each:" if you confess, I will show mercy and retain you in the job but with a lower salary ". John and David both know very well that there is a very high chance of getting fired if they confess plus whoever gets fired will have to pay back the $100 but without a confession it will be very difficult for Mr. Boss to fire either of them. They also know that Mr. Boss cannot fire both at the same time because otherwise his shop will close down.

The best possible outcome for both of them jointly (John and David) will be:

(a) If both of them confess;
(b) if only of them confess;
(c) if neither of them confesses;
(d) the best possible outcome cannot be determined from the information;

Problem 2

In the above problem, the best possible outcome for Mr. Boss will be:

(a) If both of them confess;
(b) if only of them confess;
(c) if neither of them confesses;
(d) the best possible outcome cannot be determined from the information;

Problem 3

When you were a kid your mother told you that if you toss a coin there is a 50% chance that you will end up with heads. Now you are the head of private banking of a large bank and you have just received a annual bonus of 50 cents in the form of a 50 cent coin. You take the coin and toss it a few times. You observe that out of ten tosses heads turn up only 3 times.You conclude:

(a) Your mother was wrong because she didn't study Theory of Probability;
(b) Private Banking job sucks;
(c) You did not do enough number of tosses to prove your mother right;
(d) The 50 cent coin had a rough edge on one side to distort the result;

Problem 4

If A is greater than B and B is greater than C then:

(a) A is always greater than C;
(b) A can sometimes be less than C;
(c) A is always somewhere in between B and C;
(d) A is always less than C;

Problem 5

The price of a stock of a company is determined completely by the equation:

Where y is the stock price, x is the total dollar value of the revenues earned by the company in a year and and are constants whose value does not change. If in a year the revenue of the company doubled then the change in stock price will be:

(a)  
(b)  
(c)  
(d)  

 

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