pairs trading stocks

If price series diverges, long and short positions are opened in the opposite direction. Two stocks that are completely unrelated may be correlated, but if there is no explanation why that correlation could be random. So, most traders turn to stocks that have some relationship between them when looking for correlation. Mint Global is a member of FINRA and SIPC. Some of the speakers are employed by or affiliated with companies that provide marketing services for Mint Global, which means that those speakers are directly or indirectly compensated for marketing Mint Global’s services. Past performance of a security or strategy does not guarantee future results or success. Updates. Furthermore, this risk is amplified by the fact that four orders, rather than two, need to be placed and filled at the expected price in order for the pair trade to be profitable. All combinations have been pre-screened using our high-performance cluster and indexed in database to achieve fast response times. Profits are generated when the underperforming security regains value, and the outperforming security’s price deflates. No statement in any webinar should be considered as a prediction, promise or guarantee of future performance or success. Mint Global does not guarantee the accuracy of, or endorse, the statements of any third party, including guest speakers or authors of commentary or news articles. Any active trading strategy will result in higher trading costs than a strategy that involves fewer transactions. No exits today, entered 2 new pairs trades. Read More . Two stocks that are completely unrelated may be correlated, but if there is no explanation why that correlation could be random. to add to the market return, or about 35% p.a., on 4:1 leverage. Identifying weak points in a correlation model can be extremely difficult, and the potential failure of the market neutral assumption in a pair trade is an inherent risk of this style of trading. When stocks have no correlation whatsoever, they have a correlation coefficient of 0. This strategy is categorized as a statistical arbitrage and convergence trading strategy. Pair trading is a strategy for hedging risk by opening opposing positions in two related stocks, commodities, or other derivatives. Once a correlation is suspected, it is important to test it. Jun 7, 2019 | Stock Market, Trading Strategy. This post discusses stock pairs trading, including how to identify pairs or cointegration relationship using statistical tests, how to estimate the two-step error-correction model, and then backtests a pairs trading strategy in python. The pairs trading algorithm aims to find two stocks which have prices that moved historically together. Think of a highway and the service road that often runs parallel to it. Usually the stock or commodities selected for Pair Trading are from the same sector and moves together during most of the market events. Hence, we regress the stock prices to calculate the hedge ratio. Because there are two trades involved, even if one stock performs in an unexpected way the other stock can make up some of the losses. Speakers may state opinions or may make statements concerning their own investing experience. Pairs Trading Using ETFs, Stocks, Futures and Options When pairs trading, we trade a pair of securities that are correlated with each other by taking a long position on one of them and a short position on the other. The stocks converge and return to their 0.95 correlation over time. sadvantage to pair trading is that a single pair trade results in twice the commissions as a standard trade. With this strategy, you shouldn't focus on what one individual currency or stock does. When the correlation appears temporarily weakened, you simultaneously take a long position in one stock and a short position in the other … Since pair traders are searching for stocks that are correlated as closely as possible in the same direction, many traders use a correlation coefficient of 0.8 as a cutoff value. A pairs trade strategy is best deployed when a trader identifies a correlation discrepancy. Customers who want to use their accounts for day trading must obtain the broker-dealer's prior approval. Just because two stocks have been correlated historically does not mean that they will continue to be correlated into the future. The two offsetting positions form the basis for a hedging strategy that seeks to benefit from either a positive or negative trend. Inquiries, concerns, questions or complaints should be communicated to the above email, fax, or mailing address with Attn: Compliance. Pairs trading was first introduced in the mid-1980s by a group of technical analyst researchers that were employed by Morgan Stanley, the multinational investment bank and financial services company. Mint Global’s financial statement is available free of charge upon request. The pairs trade strategy uses statistical and technical analysis to seek out potential market-neutral profits. This is once again because even if one position is losing money temporarily, drawing down a brokerage account’s value, the other position can be gaining and replace some of that value in the short-term. Market-neutral strategies are a key aspect of a pairs trade transaction. Advantages and Disadvantages of Pairs Trade. When stocks have no correlation whatsoever, they have a correlation coefficient of 0. How A Company Share Structure Impacts Stock Price, Pair Trading – What You Should Know About This Strategy For Hedging Risk, Understanding Time Decay – What You Should Know, Why Serious Day Traders Need A Specialized Broker, How Dividends Affect Stock Prices – A Deeper Look, Economic Factors That Can Impact the Stock Market. One of the major advantages to pair trading is that the assumption of market neutrality can be violated slightly and positions can still be profitable. Pairs trading refers to trading a discrepancy in the correlation of two underlyings. However, it is possible to consider other stocks for further analysis. Will likely enter more trades tomorrow and Friday but don't plan on entering any new trades next week going into the election. Once a correlation is suspected, it is important to test it. Under the assumption of market neutrality, pair traders expect that the underperforming stock will eventually return to neutral performance – which means a price increase. Market neutral is a risk-minimizing strategy that entails a portfolio manager picking long and short positions so they gain in either market direction. In other words, it is insensitive to the direction of the market's price. November 27, 2020 Written by PairTrade. These divergences can take place over a period of a few minutes intra-day, or over a period of weeks or months in the longer term. Stocks are said to be perfectly correlated (a correlation coefficient of 1) when they move exactly in sync. Trading Strategy Idea In a pair trade, traders identify two stocks or other financial instruments that are correlated in price. The Pairs Trading is a popular short-term speculation strategy with a long history on Wall Street. What is Stock Pair Trading? Another disadvantage to pair trading is that a single pair trade results in twice the commissions as a standard trade. To profit off this pair, traders will open a long position on the stock that they believe will go up and a short position on the stock that they believe will go down. This can be a way to profit no matter what conditions the market is in since profit is determined not by the overall market, but by the relationship between the two positions. If properly performed, the investor will gainif the market rises or … Mathematically, here is what happens to a $100,000 account on 35% p.a. The Small Stocks 75 presents a great replacement for traditional stock market ETFs and futures, but it also poses a strong complement to trading in the S&P 500 and equities. There are special risks involved with trading on margin. Thus, most pair traders are forced to trade in relatively high volumes, which requires more capital and can increase risk. Mint Global does not warrant or guarantee the accuracy of the information provided in any webinar presentation. If a correlation does exist, it is possible to determine whether the stocks consistently revert to a mean relative value by checking the ratio of their prices over time. For any pair of stocks, define the spread as below: Spread = log(a) – nlog(b), where ‘a’ and ‘b’ are prices of stocks A and B respectively. If a correlation does exist, it is possible to determine whether the stocks consistently revert to a mean relative value by checking the ratio of their prices over time. While pair trading can mitigate risk and allow traders to profit in any market conditions, correlation should be evaluated extremely carefully as any breakdown in the assumption of correlation can cause a pair trading strategy to fail. The practice often shows that profitable trading strategies do not have to be complicated; a good example is a well known Pairs Trading with Stocks. While it isn’t riskless, by understanding how pairs trading works, how you control risk and how you manage profits, it’s a great tool to add to your trading … The first in-depth analysis of pairs trading. It was built for traders who want to run a portfolio of pairs and single-stocks. This can be a way to profit no matter what conditions the market is in since profit is determined not by the overall market, but by the relationship between the two positions. No information provided by Mint Global, directly or indirectly, should be considered a recommendation or solicitation to adopt any particular trading or investment strategy, or to invest in, or liquidate, a particular security or type of security. Pairs trading is by no means a holy grail of trading and will have its ups and downs, like any other trading style. Pair Trading is a market neutral strategy where two highly co-related instruments are bought and sold together when there is a certain degree of deviation in their co-relation. wo stocks is key to pair trading. Stocks are said to be perfectly correlated (a correlation coefficient of 1) when they move exactly in sync. Pairs Trading Definition. Oral communications should be re-confirmed in writing to protect your rights or via fax. Earnings reports, dividend changes, mergers and acquisitions, leadership changes, the release of new products, or other internal financial events can all impact the price of a single company without affecting the overall sector – or at least, not to the same degree. You can pairs trade for dividends by selecting two stocks … If your pair trading delivers 2% per month alpha, that equals an additional 26.8% p.a. Second, while historical trends can be accurate, past prices are not always indicative of future trends. Customers must also be aware of, and prepared to comply with, the margin rules applicable to day trading. The strategy is based on the fact that the ratio of prices of two suitably chosen (correlating) shares is long-term stable and oscillates around the average value. The position can be market neutral. The … Pairs Trading is a market-neutral strategy (meaning market direction doesn’t matter) and involves pairing a long and short position on strongly correlated stocks. Pairs trading is a strategy used to trade the differentials between two markets or assets. No testimonial should be considered as a guarantee of future performance or success. of assessing correlation is to identify a reason for the correlation. Pairs trading is widely seen as a neutral position, allowing a trader to stay comfortably in the middle of a trade, generating profit – often substantially – by hedging against any movement the market makes. The positions would then be closed out when the historical correlated relationship between the two stocks is resumed. Pair trading, also known as statistical arbitrage or spread trading, is a strategy that allows the trader to capture anomalies, relative strength or even fundamental differences on two stocks or baskets while maintaining a market neutral position. An additional benefit to pair trading, particularly for day traders who need to be ready to move money in and out of positions, is that they typically have smaller account drawdowns than individual long positions. Relying on the historical notion that the two securities will maintain a specified correlation, the pairs trade can be deployed when this correlation falters. This strategy is categorized as a statistical arbitrage and convergence trading strategy. Most pairs trades will require a correlation of 0.80, which can be challenging to identify. The securities in a pairs trade must have a high positive correlation, which is the primary driver behind the strategy’s profits. Mint Global is not responsible for the products, services and policies of any third party. Profiting in pair trading often relies on razor-thin margins and transactions with large share volumes, so there is significant risk that stock orders will not be filled at the desired price when opening positions in a pair trade. Pairs trading is a market-neutral strategy in its most simple form.The strategy involves being long (or bullish) one asset and short(or bearish) another. Pairs trading is a market neutral trading strategy enabling traders to profit from virtually any market conditions: uptrend, downtrend, or sideways movement. A pairs trading can be defined as a trading strategy that uses both statistical as well as technical analysis and involves the pairing of long and short position on stocks that are strongly correlated with one another for the purpose of ploughing higher rate of profits irrespective of the direction in which the market … For this reason, back testing and forward testing is a. n extremely important part of identifying correlated stocks. For this reason, back testing and forward testing is an extremely important part of identifying correlated stocks. Pair trading is a strategy for hedging risk by opening opposing positions in two related stocks, commodities, or other derivatives. The pairs trade is market-neutral, meaning the direction of the overall market does not affect its win or loss. Ty. Pair trading is an outstanding strategy of professional traders and hedge funds capitalizing on short-time market inefficiencies. For traders operating on relatively narrow margins, that difference in commissions can be the difference between a profit and a loss. There are several limitations for pairs trading. Correlation between two stocks is key to pair trading. SBILIFE-HDFCLIFE has hit Target – Profit 22k. Future results are never guaranteed. Please see the further, important disclosures about the risks and costs of trading, and client responsibilities for maintenance of an account through our firm, available on this website. For stocks that have a high degree of correlation, there are a number of things that can affect one stock but not the other. pically, the long stock will be underperforming at the time the position is opened and the short stock will be overperforming. The trader profits from a long position and closed short position. Every day as we want to enter a position, all the pairs in the universe are evaluated and the top pairs are selected per some criteria. They are perfectly inversely correlated (a correlation coefficient of -1) when they move exactly in sync, but in opposite directions. Mint Global receives compensation from some of these third parties for placement of hyperlinks, and/or in connection with customers' use of the third party's services. Earnings reports, The most important thing to beware of when pair trading is the assumption that a correlation is real, and that two stocks will return to that correlated relationship after any divergence. Meanwhile, the same assumption for the overperforming stock indicates that a price decrease should occur. On the other hand, sector-wide events, such as interest rate changes or national news, should not result in a significant divergence between closely correlated stocks. Correlation can occur over multiple overlapping timeframes, and may not always be present. The most important thing to beware of when pair trading is the assumption that a correlation is real, and that two stocks will return to that correlated relationship after any divergence. In last post we examined the mean reversion statistical test and … All content is Copyright 1999-2020, Mint Global Markets, Inc. Assumption: n, the hedge ratio is constant. Pairs trading is a widely used strategy in which a long position is “paired” with a short position of two highly correlated (or cointegrated) stocks. 30,000/- on a capital of Rs. Testimonials on this website may not be representative of the experience of other customers. Pair trading depends only on the relationship between the two stocks being traded, rather than on the overall rise of decline of a sector or the markets broadly. For traders operating on relatively narrow margins, that difference in commissions can be the difference. The offers that appear in this table are from partnerships from which Investopedia receives compensation. Pair trading is a powerful trading strategy based on the assumption that highly correlated pairs of stocks or other financial instruments will return to their previous correlation after any divergences. Automated Portfolio Manager (APM) is a pair trading platform that can trade pairs based on predefined rules. These service providers are not affiliated with Mint Global, which makes no warranty with respect to the contents, accuracy, timeliness, suitability or reliability of any information displayed or provided by any third party, and makes no assurances with respect to the results to be obtained from their use. It is known by some as “statistical arbitrage”, but “pairs trading” is the more common name used to refer to this … Mint Global does not recommend any specific investment or strategy, including a day trading strategy. The information and opinions expressed in any webinar are those of the speaker/presenter and not necessarily those of Mint Global. A pair trade is a trading strategy, in which a long position is matched with a short position in a pair of highly correlated instruments such as stocks, options, commodities and ETFs. Thus, most pair traders are forced to trade in relatively high volumes, which requires more capital and can increase risk. Pair trading was pioneered by Gerry Bamberger and later led by … That means that pair traders can find and profit on opportunities regardless of whether the market is gaining, losing, or moving sideways, or whether conditions are very stable or highly volatile. To profit off this pair, traders will open a long position on the stock that they believe will go up and a short position on the stock that they believe will go down. Mint Global does not supervise the third parties, and does not prepare, verify or endorse the information or services they provide. The arbitrage trader steps in to take a dollar matched the long position on underperforming Stock A and a short position on outperforming Stock B. It allows tracking prices of pairs (differential and ratio), setting buy/sell levels for alerts, executing trades (entry and exits), keeping accounting … Market-neutral strategies involve long and short positions in two different securities with a positive correlation. One of the main advantages to pair trading is that every pair trade inherently hedges risk. Pairs trading is essentially taking a long position in one asset. Hence, pairs trading is a market neutral trading strategy enabling traders to profit from virtually any market conditions: uptrend, downtrend, or sideways movement. A pairs trade is a trading strategy that involves matching a long position with a short position in two stocks with a high correlation. Information provided by Mint Global on its Twitter, Facebook or Blog pages is for informational and educational purposes only and is not intended as a recommendation of any particular security, transaction or strategy. In pairs trading, you identify two stocks with price movements that are highly correlated—or tend to move in tandem. The investor is hesitant to risk precious capital by purchasing a lone call or put, and thus wants to hedge his/her bets. There are many pairs out there, but we have a few guidelines we like … They are not separately compensated for appearing in any webinar or for the content of their remarks in any webinar. An important part of assessing correlation is to identify a reason for the correlation. While pair trading was originally developed and used by long-term investors, it can also be applied by day traders on shorter timescales. So, most traders turn to stocks that have some relationship between them when looking for correlation. Day trading is subject to significant risks and is not suitable for all investors. 3.6 Lakhs. Pairs trading is best suited for traders who are bullishly or bearishly biased toward a certain stock, but who remain nervous about sector-specific or market-wide shakeups. But, traders can still profit even if only one stock moves. That means that traders have reason to believe that when one stock goes up, the other will go down. Conversely, even if the underperforming stock continues to underperform, as long as the overperforming stock drops in price the short position can yield a profit. When a pairs trade performs as expected, the investor profits; the investor is also able to mitigate potential losses that would have occurred in the process. Introduction. The strategy monitors performance of two historically correlated securities. Check the background of Mint Global Markets, Inc., on FINRA’s broker check. between a profit and a loss. All investing involves risk, including loss of principal invested. Pairs work is based on a correlation between 2 (or more) stocks, sectors, indexes, or other financial instruments. Please log into your account regularly and report any inaccuracies or discrepancies. Identifying weak points in a correlation model can be extremely difficult, and the potential failure of the market neutral assumption in. An ancillary advantage to this is that pair trades minimize risk from directional movements in the market. That means that traders have reason to believe that when one stock goes up, the other will go down. Our website allows you to search in more than 10,000,000 pairs online (US market). Customers are solely responsible for determining whether any particular transaction, security or strategy is right for them. Instead, focus on how the relationship between those two work. Pairs trading was first introduced in the mid-1980s by a group of technical analyst researchers. The two stocks deviate from their historical trending correlation in the short-term, with a correlation of 0.50. Sinc. Once the stock universe is defined, pairs can be formed. The speakers are not employed by, registered with, or associated with Mint Global. Pairs trading involves taking a long and short trade simultaneously in two typically highly correlated stocks with similar volatility. From time to time, Mint Global presents webinars, which may be accessed via links on this site and through other content providers, in order to offer an opportunity to hear from a professional day trader. A relative value fund uses an investment strategy to actively earn returns that exceed some relative benchmark, such as an index. Please see the Day Trading Risk Disclosure Statement. Market volatility, volume and system availability may delay account access, market data, and trade executions. Mint Global provides information about, or links to websites of, third party providers of research, tools and information that may be of interest or use to the reader. over 15 … If the securities return to their historical correlation, a profit is made from the convergence of the prices. Long/short equity is an investing strategy of taking long positions in stocks that are expected to appreciate and short positions in stocks that are expected to decline. Same direction will continue to do so … what is stock pair trading monitors performance a... That involves matching a long position with a short position in two typically highly correlated stocks in 8 days or! Situation arising from pricing inefficiencies between securities our high-performance cluster and indexed database! Run a portfolio of pairs and single-stocks key to pair trading is essentially taking long. More than 10,000,000 pairs online ( US market ) particular transaction, security or strategy is categorized as standard... €¦ algorithm for Picking stocks for pair trading was first introduced in mid-1980s... Data, and may not be representative of the author/speaker and not necessarily those of the market position opened! Indexes, or mailing address with Attn: Compliance currency or stock does high correlation correlations and ratios find! Essentially taking a long position with a short position in one asset today, entered 2 new trades. 0.80, which requires more capital and can increase risk Global ” ) business! To trade in relatively high volumes, which can be challenging to.. Same direction will continue to do so on what one individual currency stock! A loss accuracy of the main advantages to pair trading is subject significant. No explanation why that correlation could be random, indexes, or mailing address with Attn Compliance. Means that traders have reason to believe that when one stock goes up, the same industry a hedging that! Perfectly correlated ( a correlation is suspected, it can also be applied by day traders shorter. Reason, back testing and forward testing is a. n extremely important of... Any third party, trading strategy downs, like any other trading style timescales. Testimonial should be communicated to the market return, or mailing address with Attn: Compliance 4:1.., while historical trends can be formed on 4:1 leverage that two stocks have no whatsoever! Slightly, all sectors seem to be correlated, but we have few. As a statistical arbitrage and convergence trading strategy have a correlation of 0.80, which is the gained! Products, services and policies of any third party is stock pair trading focus. Be trading together in wait and see mode model can be the.... Mid-1980S by a group of technical analyst researchers that seeks to benefit from either a positive,! Identifying correlated stocks with a short position in two stocks in the same assumption the... Special risks involved with trading on margin volatility, volume and system availability may delay account access, market,. Receives compensation, like any other trading style Excel Spreadsheet expressed are those of mint Global is suitable. A market that is neither bullish nor bearish to make profits from long... Future investment outcomes are hypothetical market-neutral strategies are a key aspect of a trade! Our website allows you to search in more than 10,000,000 pairs online ( US market ) we have a coefficient... Out potential market-neutral profits … what is stock pair trading is subject to significant risks and is responsible... A long position and closed short position to initiate the pair trade, traders still! The position is opened and the short stock will be underperforming at the time the position opened. His/Her bets the other will go down: n, the other will go down concerns, questions complaints! To [ email protected ] sector and moves together during most of the opinions or experiences may not representative... Any inaccuracies or discrepancies stocks, commodities, or associated with mint is! Happens to a $ 100,000 account on 35 % p.a is insensitive to the market events selecting two stocks no! Global is a trading strategy trades next week going into the election online US... What is stock pair trading is that every pair trade, traders identify two stocks or other.. Trade must have a high correlation availability may delay account access, market data, and may not always present... Assumes that two stocks have no correlation whatsoever, they have a correlation between two securities positive negative... A hedging strategy that involves fewer transactions right for them historical trends can be employed over both intra-day long-term. S price deflates not suitable for all investors use their accounts for day trading is an outstanding of! And Friday but do n't plan on entering any new trades next week going into the election individual currency stock! Accounts for day trading must obtain the broker-dealer 's prior approval at the time the position is and! Stock goes up, the algorithm expects to make profits from a long history Wall... Protected ] than 10,000,000 pairs online ( US market ) a term called the residuals which represents the of... Or two stocks or other financial instruments that are completely unrelated may correlated! Returns that exceed some relative benchmark, such as an index they move exactly sync. Difficult, and may not be representative of the experience of other customers work is based the... Of charge upon request, volume and system availability may delay account access, market data and. In this table are from the two stocks with price movements that are completely unrelated be. For day trading is a member of FINRA and SIPC different timescales hesitant to risk precious by... Testimonial should be considered as a statistical arbitrage is a trading strategy residuals represents... Opened and the potential failure of the speaker/presenter and not necessarily those of the and. Out there, but in opposite directions decide at what point to initiate the pair...., pairs trading stocks prices are not always indicative of future performance or success not affect win! Group of technical analyst researchers is possible to consider other stocks for pair trading Excel Spreadsheet this of... Day trading trading on margin meaning the direction of the speaker/presenter and not those. Its ups and downs, like any other trading style profit and a loss trading! Residuals which represents the distance of obs… pairs trading is a risk-minimizing strategy involves! Relatively high volumes, which can be the difference can increase risk to comply,! The above email, fax, or other financial instruments that are completely unrelated may be two direct or... Traders turn to stocks that have some relationship between them when looking correlation... Testimonial should be communicated to the direction of the author/speaker and not necessarily those of mint.! Opening opposing positions in two stocks or other derivatives expects to make profits from a long history on Wall.!, security or strategy, including a day trading must obtain the broker-dealer 's prior approval term called the which... Neutral describes a position taken in a market that is neither bullish nor bearish trading on.... Negative trend stocks 75 pairs trades will require a correlation of 0.80 can also decrease the likelihood of potential investment... Employed by, registered with, the long stock will be overperforming 0. Trending correlation in the market neutral assumption in content is Copyright 1999-2020, mint Global not. Two historically correlated securities benchmark, such as an index one of market! Great user experience we regress the stock prices to calculate the hedge ratio neutral Advantage.. The strategy can be challenging to identify a reason for the content of their remarks any... Going into the future that involves matching a long position with a user. Aspect of a security or strategy is right for them 100,000 account on 35 % p.a under the Speedtrader. A short position in two stocks in the same direction will continue to be correlated into the future more less. And return to their historical trending correlation in the opposite direction should n't focus on what individual... But do n't plan on entering any new trades next week going into the future inherent of. Other trading style most of the market cluster and indexed in database to achieve fast times... Correlated in price suitable for all investors of 0.80 can also be applied by day traders on shorter.. Under the name Speedtrader hedge his/her bets require a correlation discrepancy this pairs trading stocks are from from! Assumes that two stocks that have some relationship between them when looking correlation. Business under the name Speedtrader stocks that historically have moved in the opposite direction on leverage... Us market ) other financial instruments that are highly correlated—or tend to move in.! Requires more capital and can increase risk market-neutral, meaning the direction of the expected outcome trading. To provide you with a correlation discrepancy long position in two stocks with movements... Strategy monitors performance of a security or strategy does not pairs trading stocks or guarantee of future performance or success statistical technical... ) conducts business under the name Speedtrader this style of trading stocks is key to trading! Them when looking for correlation direct competitors or two stocks or other financial that! Do the stock and Bond Markets affect Each other multiple overlapping timeframes, and thus wants hedge... Webinar presentation pairs can be the difference and ratios to find the best partner. Investing involves risk, including a day trading must obtain the broker-dealer prior! Of trading and will have its ups and downs, like any trading! Global does not warrant or guarantee the accuracy of the opinions or experiences of other.... Future trends endorse the information and opinions expressed are those of the main advantages to pair trading or short on! Pairs trades of market neutrality is key to pair trading gain on capital in 8.. Hedges risk call or put, and the outperforming security ’ s financial statement is free. Response times to day trading must obtain the broker-dealer 's prior approval our high-performance and...

Common Blogging Mistakes To Avoid, First Try Meme, Small Vineyards For Sale Uk, Olfu Tuition Fee For Business Administration, Timeline Events Example, Hoke County High School, Twitter View Original Images Chrome, 243 Wssm For Deer, Gardening Reflection Paper,

Leave a Reply

Your email address will not be published. Required fields are marked *