American options can be exercised at any time between the date of purchase and the expiration date. European options are different from American options in that they can only be exercised at the end of their lives on their expiration date. The distinction between American and European options has nothing to do with geography, only with early exercise. Many options on stock indexes are of the European type. Because the right to exercise early has some value, an American option typically carries a higher premium than an otherwise identical European option. This is because the early exercise feature is desirable and commands a premium.

The contract specifications are specified for one contract, so the tick value shown above is the tick value per contract. If a trade is made with more than one contract, then the tick value is increased accordingly. For example, a trade made on the ZG options market with three contracts would have an equivalent tick value of 3 X $10 = $30, which would mean that for every 0.1 change in price, the trade's profit or loss would change by $30.
For strangles (long in this example), an investor will buy an "out of the money" call and an "out of the money" put simultaneously for the same expiry date for the same underlying asset. Investors who use this strategy are assuming the underlying asset (like a stock) will have a dramatic price movement but don't know in which direction. What makes a long strangle a somewhat safe trade is that the investor only needs the stock to move greater than the total premium paid, but it doesn't matter in which direction. 

• Put Options – Give the buyer the right, but not the obligation, to sell the underlying at the stated strike price within a specific period of time. The seller of a put option is obligated to deliver a short position from the strike price (accept a long futures position) in the case that the buyer chooses to exercise the option. Keep in mind that delivering a short futures contract simply means being long from the strike price.
A call option is a contract that gives the investor the right to buy a certain amount of shares (typically 100 per contract) of a certain security or commodity at a specified price over a certain amount of time. For example, a call option would allow a trader to buy a certain amount of shares of either stocks, bonds, or even other instruments like ETFs or indexes at a future time (by the expiration of the contract). 
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