What is the maximum number of options I can buy if the price is $0.01?
Options trading at $.01 have the same position limits as other options. Self regulatory organizations set the position limits for options which can be 250,000 contracts on one side of the book, as an example. Weeklies that are expiring soon have lots of liquidity while trading at $0.01, you can see this in Bank of America stock if interested
"For new shares to be successfully sold, the price has to be below market price. If you currently own shares of that company, you should always get an option to buy those newly sold shares at that discounted price. The number of options depends on the relative number of shares you hold. Lets say you own 100 out of 1000 shares, currently priced at $10. 100 new shares are to be sold at $9. Since you are holding 10% of all shares, you have the option (i.e. the right) to buy 10 new (cheaper) shares (10% of 100) before anybody else can buy them. Theoretically, the money you save by getting the shares at a discounted price is equal to the money you lose by the share's value being diluted. So, if you're a shareholder and the company is increasing it's capital, you're given the right to ""go with it""." I have held an in the money long position on an option into expiration, on etrade, and nothing happened.   (Scalping expiring options - high risk) The option expired a penny or two ITM, and was not worth exercising, nor did I have the purchasing power to exercise it. (AAPL) From etrade's website: Here are a few things to keep in mind about exercises and assignments: Equity options $0.01 or more in the money will be automatically   exercised for you unless you instruct us not to exercise them. For   example, a September $25 call will be automatically exercised if the   underlying security's closing price is $25.01 or higher at expiration.   If the closing price is below $25.01, you would need to call an   E*TRADE Securities broker at 1-800-ETRADE-1 with specific instructions   for exercising the option. You would also need to call an E*TRADE   Securities broker if the closing price is higher than $25.01 at   expiration and you do not wish to exercise the call option. Index   options $0.01 or more in the money will be automatically exercised for   you unless you instruct us not to exercise them. Options that are out   of the money will expire worthless. You may request to exercise   American style options anytime prior to expiration. A request not to   exercise options may be made only on the last trading day prior to   expiration. If you'd like to exercise options or submit   do-not-exercise instructions, call an E*TRADE Securities broker at   1-800-ETRADE-1. You won't be charged our normal fee for   broker-assisted trades, but the regular options commission will apply.   Requests are processed on a best-efforts basis.  When equity options are exercised or assigned, you'll receive a Smart   Alert message letting you know. You can also check View Orders to see   which stock you bought or sold, the number of shares, and the strike   price.  Notes: If you do not have sufficient purchasing power in your account   to accept the assignment or exercise, your expiring options positions   may be closed, without notification, on the last trading day for the   specific options series. Additionally, if your expiring position is   not closed and you do not have sufficient purchasing power, E*TRADE   Securities may submit do-not-exercise instructions without   notification. Find out more about options expiration dates. If you are putting down less than 20% expect to need to pay PMI.  When you first applied they should have described you a group of options ranging from minimal to 20% down. The monthly amounts would have varied based on PMI, down payment, and interest rate. The maximum monthly payment for principal, interest, taxes, and insurance will determine the maximum loan you can get. The down payment determines the price of the house above the mortgage amount.  During the most recent real estate bubble, lenders created exotic mortgage options to cover buyers who didn't have cash for a down-payment; or not enough income for the principal and interest, or ways to sidestep PMI. Many of these options have disappeared or are harder to get. You need to go back to the bank and get more information on your different options, or find a lender broker who will help you. "According to the book of Hull, american and european calls on non-dividend paying stocks should have the same value. American puts, however, should be equals to, or more valuable than, european puts. The reason for this is the time value of money. In a put, you get the option to sell a stock at a given strike price. If you exercise this option at t=0, you receive the strike price at t=0 and can invest it at the risk-free rate. Lets imagine the rf rate is 10% and the strike price is 10$. this means at t=1, you would get 11.0517$. If, on the other hand, you did'nt exercise the option early, at t=1 you would simply receive the strike price (10$). Basically, the strike price, which is your payoff for a put option, doesn't earn interest. Another way to look at this is that an option is composed of two elements: The ""insurance"" element and the time value of the option. The insurance element is what you pay in order to have the option to buy a stock at a certain price. For put options, it is equals to the payout= max(K-S, 0) where K=Strike Price and St= Stock price.  The time value of the option can be thought of as a risk-premium. It's difference between the value of the option and the insurance element. If the benefits of exercising a put option early (i.e- earning the risk free rate on the proceeds) outweighs the time value of the put option, it should be exercised early. Yet another way to look at this is by looking at the upper bounds of put options. For a european put, today's value of the option can never be worth more than the present value of the strike price discounted at the risk-free rate. If this rule isn't respected, there would be an arbitrage opportunity by simply investing at the risk-free rate. For an american put, since it can be exercised at any time, the maximum value it can take today is simply equals to the strike price. Therefore, since the PV of the strike price is smaller than the strike price, the american put can have a bigger value. Bear in mind this is for a non-dividend paying stock. As previously mentioned, if a stock pays a dividend it might also be optimal to exercise just before these are paid." Trading is NOT zero-sum game, it is negative sum actually. In fact all people's money is getting swept by commissions and fees. If you don't have The Plan (which includes minimizing commission losses), you win some (not a lot), then you get big positions, then market crashes, then all your money is gone.  You will start noticing that commissions are real, only when you get market crash. Prey that you get heavy losses (-10% of portfolio) before some (giant) market crash. Getting good lesson by small price is better then high price (-30..50%). Piece of advice. There is small exchanges that do NOT charge you for operations, taking only market spread ($0.01) as commission. They do so because they do not have big population and they trade mostly by using automatic market-makers (which means there is no way to buy 10% of Apple there). You're assuming options traded on the open market. To close open positions, a seller buys them back on the open market. If there's little on offer, this will drive the price up. "Many people assume that if the price of something is $10 and they have 1,000 of that thing, they should expect to be able to sell them for something around $10,000.  Such an assumption may hold much of the time, but it doesn't always.  Worse, the cases where it fails to hold are often those where it would be relied upon most heavily.  Such an assumption should thus be considered dangerous. In a liquid market, the quantity of a something that people would be willing to buy at something close to the market price will be large relative to the quantity that people would seek to sell in the short term.  If at some moment in time one person in the market was willing to immediately buy 500 shares at $9.98 and another was willing to immediately buy 750 at $9.97, someone seeking to sell 1,000 shares could immediately receive $997.50 for them (selling 500 to the first person and 500 to the second, who would then be ready to buy 250 more from the first person who was willing to sell for $9.97).  Such behavior would be in line with what many people's assumptions. In an illiquid market, however, the quantity of something that people would be willing to buy near market price could be surprisingly low.  This is more often a problem in the marketplace of things like collectibles than of stocks, but the same thing can happen in the stock market.  If there's one potential buyer for a stock who thinks it's overpriced but has potential and would be worth $9.50, but that person only has $950 to spend, and nobody else thinks the stock would be worth more than $0.02/share, then until people sold a total of 100 shares the price would be $9.50, but after that the price would drop instantly to $0.02.  There would be no ""cushioning"" of the fall.  If the person with 1,000 shares was first in line, he'd get to sell 100 shares for $950 to the aforementioned seller, but would be unable to get more than $18 for the remaining 900. A major danger with markets is that markets which are perceived as liquid attract people to the buying side, while those which are seen as illiquid repel people.  The danger in the latter is obvious (having people flee a seemingly-illiquid market will reduce its liquidity further) but the former is just as bad.  Having people flock to a market because of its perceived liquidity will increase its liquidity, but can also create a ""false price floor"", causing demand to appear much stronger than it actually is.  Unless real demand increases to match the false price floor, the people who buy at the higher price will never be able to recoup their investment." "It depends on the volatility of the underlying stock. But for ""normal"" levels of volatility, the real value of that option is probably $3.50! Rough estimates of the value of the option depending on volatility levels: Bottom line: unless this is a super volatile stock, it is trading at $3.50 for a reason. More generally: it is extremely rare to find obvious arbitrage opportunities in the market."