Chirags Chapo Challenge

Chirag, one of the senior-most members of our club, has recently started getting his hands dirty with the markets. He decided to invest the prize money he got by winning the Auquan Quant challenge into a trading strategy. He invested INR 10,000 that would give him returns of 10% per annum. (strategy compounds money on a daily basis)

You, a young chap, highly motivated to pursue finance, went to him seeking guidance, so as to how to start learning Finance. Along with a gyaan session, comes an unsaid CHAPO, right! But, but CHAPO doesnt come so easily, facche!.

So, Chirag gives you the money he wanted to invest in the market, and proposes you a deal!

You get a Chapo after the recruitment process of the club if you could make more money than the strategy he wanted to invest in. If you are successful in making more money than that strategy, the invested capital is all yours (i.e., Chapo of INR 10,000) and Chirag takes the return (money you made from the strategy) home. But, but. If your strategy gives return less than 10%, you return the money to Chirag, along with the return that you generated from your strategy and also owe the amount that you were not able to make. (Say if you created 4% return, youd have to give INR 10400 plus the remaining 6% to Chirag from your pocket, and you dont get a Chapo, of course!)

Assuming that you have been following the news for a while, you recall that banks in Argentina offer a 20% interest rate per annum (given: the bank also compounds money on a daily basis) on the money (in Peso, of course) deposited. (Woah, a bank giving more return than a sophisticated trading strategy used by Chirag!). So with this knowledge, you decided to keep that money in an Argentinian bank.

Impressed by your idea of investing in the foreign market, Chirag added on: Take this information from me, youll need this. FX markets arent so easy as they look.

Spot rate: 1.20 INR/ARS

Forward rate (spot rate after one year): 1.05 INR/ARS

He suggested If you were to take my suggestion, keep the money in the bank for a year, dont withdraw it before one year

Chirag is witty and smart, inherently. The Chapo wont come so easy!

This time he would have made some errors of judgment, and you could get a grand CHAPO. Maybe, or may not. Should you follow his suggestion? Justify your choice.

Suppose if you follow his suggestion, and get into the contract, calculate the money that Chirag would get/ or the money which you have to pay from the pocket, depending upon the returns from the contract. Justify your answer.

No matter how witty he is, we are sure he wouldnt propose a deal that would make taking a Chapo impossible for you, we being confident about how kind-hearted he is!

So, you have the flexibility to invest the money in the Argentinian bank for the period you want (but not more than a year). The spot rate of INR/ARS follows this function:

Spot rate = 1.20 (t=0) Spot rate = 2e-0.01t (0

Spot rate = 1.05 (t=365)

What is the best time/ time period at which you should withdraw the money from the bank so that you get the CHAPO.

Also, state the time duration for which you would refrain from entering into the deal.