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A un Strategist le preguntaron...16 de enero de 2012

Suppose you have three call options on the market, with strikes 10, 20, and 30. Suppose the call option with strike 10 costs \$12, the call option with strike 20 costs \$7, and the call option with strike 30 costs \$1. Does there exist an arbitrage opportunity?

4 respuestas

My guess is since call price is a convex function of strike. By Jensen' inequality, the average of 10 call and 30 call should be greater than 20 call. Here 20 call is overpriced, so long 10 call and 30 call in the mean time short the 20 call. Menos

Yes. Buy one call option with strike 10 and one call option with strike 30, and sell two call options with strike 20. Then you can work out for yourselves that this always yields a positive profit. Menos

If you only short one of the strike 20 calls then it's wrong. You need to short 2 of the strike 20 calls to make it work. Menos

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If you flip 400 coins, what's the probability of getting more than 220 heads

4 respuestas

Apply central limit theorem. Probability = 1-N(2)

Apply central limit theorem. Probability = 1-N(2) ~= 2.5%

It would be "Probability = 1 - binomcdf(400, .5, 220) = .0255520111564574"

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A un Strategist le preguntaron...13 de diciembre de 2012

Horse race: 25 horses, 5 lanes, find the minimum number of races to get the fastest 3 horses.

4 respuestas

7 races

7: 1. split 25 horses into groups of 5, race each group, get top 3 in each group (5 races), this gives us 15 potential candidates 2. race the winners of each of the 5 races (1 race), say this comes out H1, H2, H3, H4, H5; this will eliminate 3*2 + 3 = 9 of the 15 potential candidates, and we will also now know the fastest horse (H1) (the 3*2 eliminated candidates come from the horses top three horses in step 1 where H4 and H5 raced; the other 3 eliminated candidates come from the two horses that came in 2nd and 3rd in step 1 to H3 and the horse that came in 3rd to H2 in step 1). 3. race the remaining 5 horses Menos

5 + 3 + 2 + 1 +1 = 13.

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What would you do if your client drops 50% in sales? (Due to recession in the economy)

4 respuestas

Tell me about a time you had a difficult client? What went wrong? How did you deal with it? Menos

If its due to recession that is external causes. However there are a couple of approaches to take: 1. Analyse the industry to see if the other companies have sales revenue decrease 2. Advice the client to switch market segment or decrease prices. Menos

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Describe a campaign for us you would use to get more people to our job portal site.

4 respuestas

Where hire someone if you give away strategies for free? The VP of talent, literally has someone fill out what to put on her linkedin Profile. Seriously... A VP of Talent Donata Davenport doesn't know how to use linkedin and she is recruiting talent for a major company!? Donata Davenport later changed the title to HR specialist. That makes no sense for HR to do. Her methodology on business structures are poor. That is why they can't get their online job portal more candidates. Menos

I meant to say "Why" not "Where."

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There're 10 steps ahead of rabbit and she can jump 1 step or 2 steps at a time. How many different ways for her to reach to the top.

3 respuestas

Basic Recurrance formula F(n) = F(n-1)+ F(n-2) . Expalation : Asume rabbit wants to climb the 10th step , it can either make the jump from 9th step or from 8th step . F(1) = 1 - can take only 1 step F(2) = 2 - can take 2 single steps or just take a 2 step jump . so 2 ways . Solving this recurrence relation should give the result . Time O(n) &amp; Space O(1) Menos

its the Fibonacci algorithm.

At most, you take 10 steps. At minimum, you take 5 steps. How many ways are there to take 5 steps? 6 steps? 7 steps? and so on. Menos

If you could be remembered for one sentence, what would it be?

3 respuestas

My first "Deep-prayer"; My great God! Our only safe defense. Never misleading; Never absent. Always over us; Always to wonder for us. My gift to a singing muslim, just after imy break-down; "Don't pray under the moon with dry eyes." //Words of wisdom .. Om du en gång tänker en enda stor tanke, får du aldrig tänka ensam igen. Well! i thought about a big, big problem. A big, big threat, to all carbon-based, or as i use to say, sweet-water-based, +All vital life factors, or any shared, through the universe.. DEAE! ET NON RESPONDERUNT MIHI! Menos

for my work.

If you were to develop an app, what would it be? How would you monetize it?

3 respuestas

what other quesetions did they ask?

How would you describe what "AdRoll" is to your mom or a 7 year old?

were all the questions like this or were there normal questions too?

A un Strategist le preguntaron...17 de noviembre de 2014

operation research: how to maximize Ax given Bx = b.

3 respuestas

Simplex Method

Lagrange multipliers

bAB^-1

Imagine Facebook and a bank merged, giving them access to each other's data. What would you want to do with the data? How would you do it? At a very high level, how would you approach merging the data sets?

3 respuestas

Use the data to understand how to target different customers, both for the bank and Facebook. Psychographic data, credit card history, financial credit scores, geolocation, demographics, messaging histories. Target Ads to different groups, understand how to drive more business in mortgages and loans, extract their networks and target relationships, figure out where to open new bank branches and how best to position on your digital channels. Menos

Use the data to understand how to target different customers, both for the bank and Facebook. Psychographic data, credit card history, financial credit scores, geolocation, demographics, messaging histories. Target Ads to different groups, understand how to drive more business in mortgages and loans, extract their networks and target relationships, figure out where to open new bank branches and how best to position on your digital channels. Menos

How did you answer this question? (Optional)

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