Historical Stock Price Quote on delisted stock without knowing stock symbol as of quote date
You need a source of delisted historical data.  Such data is typically only available from paid sources. According to my records 20 Feb 2006 was not a trading day - it was Preisdent's Day and the US exchanges were closed. The prior trading date to this was 17 Feb 2006 where the stock had the following data: Open: 14.40 High 14.46 Low 14.16 Close 14.32 Volume 1339800 (consolidated volume) Source: Symbol NVE-201312 within Premium Data US delisted stocks historical data set available from http://www.premiumdata.net/products/premiumdata/ushistorical.php Disclosure: I am a co-owner of Norgate / Premium Data.
The quotes on JSE are for 100 share lots.  The quotes on NYSE are for single shares.  That still leaves some price difference, but much less than you calculated. (EDIT: Equivalently, the price is quoted in 1/100th of a Rand.  The Reuter's listing makes this explicit since the price is listed as ZAc rather than ZAR.  http://www.reuters.com/finance/stocks/overview?symbol=HARJ.J) As noted in the other answer currently up, NYSE is quoting American Depositary Receipts (ADRs) for this company, which is not directly its stock.  The ADR in this case, if you check the prospectus, is currently 1 share of the ADR = 1 share of the stock on its home market.  A US institution (in this case it looks like BNY Mellon) is holding shares of stock to back each ADR. Arbitrage is possible and does happen.  It's not perfect though, because there are a variety of other cost and risk factors that need to be considered.  There's a good review here: Report by JP Morgan Some summary points: You need a source of delisted historical data. Such data is typically only available from paid sources. According to my records, AULT (Ault Inc) began as an OTC stock in the 1980s prior it having an official NASDAQ listing.  It was delisted on 27 Jan 2006.  Its final traded price was $2.94.  It was taken over at a price of $2.90 per share by SL Industries. Source: Symbol AULT-200601 within Premium Data US delisted stocks historical price data set available from http://www.premiumdata.net/products/premiumdata/ushistorical.php Disclosure: I am a co-owner of Norgate / Premium Data. A stock dividend converts some of the reserves and surplus on the company's balance sheet into paid-up capital and securities premium account without involving any actual cash outflow to the shareholders. While cash dividends are eyed by the investors due to their cash yield, issuance of stock dividends are indicators of growing confidence of the management and the shareholders in the company.  The fact that shareholders want to convert free cash sitting on the balance sheet (which can ideally be taken out as dividends) into blocked money in exchange for shares is symbolic to their confidence in the company. This in turn is expected to lead to an increase in market price of the stock. Yahoo Finance's Historical Prices section allows you to look up  daily historical quotes for any given stock symbol, you don't have to hit a library for this information. Your can choose a desired time frame for your query, and the dataset will include High/Low/Close/Volume numbers. You can then download a CSV version of this report and perform additional analysis in a spreadsheet of your choice. Below is Twitter report from IPO through yesterday: http://finance.yahoo.com/q/hp?s=TWTR&a=10&b=7&c=2013&d=08&e=23&f=2014&g=d "Below I will try to explain two most common Binomial Option Pricing Models (BOPM) used. First of all, BOPM splits time to expiry into N equal sub-periods and assumes that in each period the underlying security price may rise or fall by a known proportion, so the value of an option in any sub-period is a function of its possible values in the following sub period. Therefore the current value of an option is found by working backwards from expiry date through sub-periods to current time. There is not enough information in the question from your textbook so we may assume that what you are asked to do is to find a value of a call option using just a Single Period BOPM. Here are two ways of doing this: First of all let's summarize your information: Current Share Price (Vs) = $70 Strike or exercise price (X) = $60 Risk-free rate (r) = 5.5% or 0.055 Time to maturity (t) = 12 months Downward movement in share price for the period (d) = $65 / $70 = 0.928571429 Upward movement in share price for the period (u) = 1/d = 1/0.928571429 = 1.076923077 ""u"" can be translated to $ multiplying by Vs => 1.076923077 * $70 = $75.38 which is the maximum probable share price in 12 months time. If you need more clarification here - the minimum and maximum future share prices are calculated from stocks past volatility which is a measure of risk. But because your textbook question does not seem to be asking this - you probably don't have to bother too much about it yet. Intrinsic Value: Just in case someone reading this is unclear - the Value of an option on maturity is the difference between the exercise (strike) price and the value of a share at the time of the option maturity. This is also called an intrinsic value.  Note that American Option can be exercised prior to it's maturity in this case the intrinsic value it simply the diference between strike price and the underlying share price at the time of an exercise. But the Value of an option at period 0 (also called option price) is a price you would normally pay in order to buy it. So, say, with a strike of $60 and Share Price of $70 the intrinsic value is $10, whereas if Share Price was $50 the intrinsic value would be $0. The option price or the value of a call option in both cases would be fixed.  So we also need to find intrinsic option values when price falls to the lowest probable and rises to the maximum probable (Vcd and Vcu respectively) (Vcd) = $65-$60 = $5 (remember if Strike was $70 then Vcd would be $0 because nobody would exercise an option that is out of the money) (Vcu) = $75.38-$60 = $15.38 1. Setting up a hedge ratio:  h = Vs*(u-d)/(Vcu-Vcd) h = 70*(1.076923077-0.928571429)/(15.38-5) = 1 That means we have to write (sell) 1 option for each share purchased in order to hedge the risks. You can make a simple calculation to check this, but I'm not going to go into too much detail here as the equestion is not about hedging. Because this position is risk-free in equilibrium it should pay a risk-free rate (5.5%). Then, the formula to price an option (Vc) using the hedging approach is: (Vs-hVc)(e^(rt))=(Vsu-hVcu) Where (Vc) is the value of the call option, (h) is the hedge ratio, (Vs) - Current Share Price, (Vsu) - highest probable share price, (r) - risk-free rate, (t) - time in years, (Vcu) - value of a call option on maturity at the highest probable share price. Therefore solving for (Vc): (70-1*Vc)(e^(0.055*(12/12))) = (75.38-1*15.38) => (70-Vc)*1.056540615 = 60 => 70-Vc = 60/1.056540615 => Vc = 70 - (60/1.056540615)  Which is similar to the formula given in your textbook, so I must assume that using 1+r would be simply a very close approximation of the formula above. Then it is easy to find that Vc = 13.2108911402 ~ $13.21 2. Risk-neutral valuation: Another way to calculate (Vc) is using a risk-neutral approach. We first introduce a variable (p) which is a risk-neutral probability of an increase in share price. p = (e^(r*t)-d)/(u-d) so in your case: p = (1.056540615-0.928571429)/(1.076923077-0.928571429) = 0.862607107 Therefore using (p) the (Vc) would be equal: Vc = [pVcu+(1-p)Vcd]/(e^(rt)) => Vc = [(0.862607107*15.38)+(0.137392893*5)]/1.056540615 => Vc = 13.2071229185 ~ $13.21 As you can see it is very close to the hedging approach. I hope this answers your questions. Also bear in mind that there is much more to the option pricing than this. The most important topics to cover are: Multi-period BOPM Accounting for Dividends Black-Scholes-Merton Option Pricing Model" You bought the stock at some point in the past. You must have had a reason for this purchase. Has the recent change in price changed the reason you bought the stock? You must assume your losses are sunk costs. No matter what action you take, you can not recover your losses. Do not attempt to hold the stock in the hopes of regaining value, or sell it to stop losses. Instead approach this event as if this very day, you were given shares of the company's stock at their current market value for free as a gift. In this hypothetical situation, would you hold the shares, or sell them? Use that to judge your options. Not everyone, myself included, can handle the mental stress of watching share prices change. You can always consider trading index funds instead, which are much less volatile but will provide consistent, albeit, boring returns. This may or may not be you, but it's an option. Finally, do not keep money in the market you are not prepared to lose. It seems obvious, but if you lost 40% today, you could lose 100% tomorrow. "As JoeTaxpayer says, there's a lot you can do with just the stock price. Exploring that a bit: Stock prices are a combination of market sentiment and company fundamentals. Options are just a layer on top of that. As such, options are mostly formulaic, which is why you have a hard time finding historical option data -- it's just not that ""interesting"", technically. ""Mostly"" because there are known issues with the assumptions the Black-Scholes formula makes. It's pretty good, and importantly, the market relies on it to determine fair option pricing. Option prices are determined by: Relationship of stock price to strike. Both distance and ""moneyness"". Time to expiration. Dividends. Since dividend payments reduce the intrinsic value of a company, the prospect of dividend payments during the life of a call option depresses the price of the option, as all else equal, without the payments, the stock would be more likely to end up in the money. Reverse the logic for puts. Volatility. Interest rates. But this effect is so tiny, it's safe to ignore. #4, Volatility, is the biggie. Everything else is known. That's why option trading is often considered ""volatility trading"". There are many ways to skin this cat, but the result is that by using quoted historical values for the stock price, and the dividend payments, and if you like, interest rates, you can very closely determine what the price of the option would have been. ""Very closely"" depending on your volatility assumption. You could calculate then-historical volatility for each time period, by figuring the average price swing (in either direction) for say the past year (year before the date in question, so you'd do this each day, walking forward). Read up on it, and try various volatility approaches, and see if your results are within a reasonable range. Re the Black-Scholes formula,  There's a free spreadsheet downloadable from http://optiontradingtips.com. You might find it useful to grab the concept for coding it up yourself. It's VBA, but you can certainly use that info to translate in your language of choice. Or, if you prefer to read Perl, CPAN has a good module, with full source, of course. I find this approach easier than reading a calculus formula, but I'm a better developer than math-geek :)" The quote price is simply the last price at which a trade completed.