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Notes on options
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mgp authored and Mike Parker committed Nov 26, 2016
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Expand Up @@ -356,3 +356,63 @@ _Hedge fund strategies: Merger arbitrage_
* If the acquisition happens, the share price should ascend to the higher share price.
* If the acquisition falls through, the share price should descend to the original share price.
* Merger arbitrage is when you buy if you expect the merger to happen, or short if you expect the merger to fall through.

### Options, swaps, futures, MBSs, CDOs, and other derivatives

#### Put and call options

_American call options_

* An call option allows you to buy a stock at a certain price; these are sold by options exchanges.
* An American option can be exercised between now and some expiration date; a European option can be exercised only on that date.
* Buying an option allows you to put less capital at risk, in return for less upside.
* If the stock price drops below the option price, the option is "out of the money," and you just won't exercise the option.

_American put options_

* A put option allows you to sell a stock at a certain price; these are sold by options exchanges.
* Unlike traditional shorting of stock, if the stock goes up you are not required to buy it back; you simply let the option expire.

_Call option as leverage_

* After buying a stock, the potential upside you can gain is unlimited, while the most you can lose is 100%.
* When you buy an option, the potential gain or potential loss is measured against the cost of the option itself.
* Your potential gain is higher because the option price is smaller than the stock price, but your potential loss is 100% if you don't exercise the option.
* This is financial leverage, where leverage is using a tool to exert more force than you otherwise could.

_Put vs. short and leverage_

* Typically when you borrow a share for shorting, you have to put at least 50% of the value of the short as capital up front.
* After you short a stock, your gain is measured against the capital that you had up front.

_Call payoff diagram_

* You can either graph the value at expiration versus the underlying stock price, or your profit/loss versus the underlying stock price.
* The former simply shows the value of the option; the latter incorporates the actual cost of it.

_Put as insurance_

* If you buy a share of stock and a put option at the same price, then any loss on the stock will be covered by the gain on the put option.
* When people talk about buying insurance on a position, they typically talk about buying such a put option.

_Put-call parity_

* The value of a bond is constant at the date of expiration; its value can cover any loss on a call option with the same price.
* The value of the call option plus the bond equals the value of the stock plus the put option. This is called put-call parity.

_Arbitrage basics_

* Arbitrage just means taking advantage of difference in price on essentially the same thing to make a risk-free profit.
* This requires buying from a cheaper source and selling at a more expensive source.
* This increases demand at the cheaper source and supply at the more expensive source, and therefore the prices will approach one another.

_Put-call parity arbitrage I_

* In the put-call parity scenario, you buy the cheaper side and sell the more expensive side. The difference is your risk-free profit.

_Option expiration and price_

* Options that expire farther in the future cost more, because you get to retain the option for longer.
* If the stock does well, then you capture more of the upside with a further expiration date.
* If the stock does poorly, then you increase your chances of the stock once again become in the money with a further expiration date.
* If the stock is doing well, do not exercise your option, but instead sell it to capture whatever value the buyer sees in the future optionality.

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