Anjul S.

Credit Suissse, FRM, CFA L3 Candidate, CAIA L1

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Geometry

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Question:

What is the length of the longest distance between any two corners in a rectangular box with dimensions 3 cm by 4 cm by 5 cm

Anjul S.

Answer:

Visualize a cuboid with given parameters. Calculate the diagonal from one of the six surfaces as(Pythagoras theorem in one of the right triangle) : d1^2= 3^2+4^2= 5^2 Now the longest side would be the hypotenuse of the right angle with other side as d1 and third side as third parameter of the edge given in the question: D^2= d1^2+5^2= 5^2+5^2 D= 5*2^(.5)

GRE

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Question:

if 6k-5l>27 and 3l-2k<-13 and 5k-5l>j, what is the value of j?

Anjul S.

Answer:

Stack and add first two inequalities. Multiply the second inequality by -1 to make the sign point in the same direction. 6k-5l>27 2k-3l>40 8k-8l>40 Divide both the sides by 8 and get k-l>5. Multiply both sides by 5 and 5k-5l>25 hence j=25 as 5k-5l>j is given in the question.

Finance

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Question:

An analyst has determined that the required that required rate of return for an equity investments in shares of AB Corp is 10.5%. If the return on govt securities is 6% and AB Corp's beta is 1.2, the current equity risk premium is: A. 3.75% B. 4.5% C. 9.75%

Anjul S.

Answer:

It is a simple yet a tricky question where one may tempt to jump the gun and blindly apply CAPM as: r=rf+beta*(Equity risk Premium-rf) where as true form is as follows: r=rf+beta*(Equity risk Premium) So the answer is: 0.105=0.06+1.2(Equity Risk Premium) Equity Risk Premium= 0.0375(and not 4.5% as B)

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