Friday 4 May 2007

From Harvard To Hedge Funds

Text from Bloomberg Markets, April 2004, pp 48-54.

From Harvard To Hedge Funds

Six years after Long-Term Capital Management collapsed, college professors are back running hedge funds. Some find the marketplace more invigorating than the classroom.

By Michael Peltz

On Friday, Jan. 9, computer science professor John Moody was stuck inside his yellow Victorian home in the West Hills section of Portland, Oregon. He was trapped there by the biggest snow and ice storm to hit the U.S. Pacific Northwest in a decade. Moody, who runs a hedge fund when he's not doing academic research, was also having one of his best trading weeks in a year. ``We were up about 4 percent,'' says Moody, who has a Ph.D. in theoretical physics from Princeton University. ``We managed to ride the currency wave further, made money in metals and even got back into cattle.''

Moody is among a group of leading academics who are putting their theories into practice in the world of hedge funds - - lightly regulated investment pools that tap university endowments, pension funds and wealthy individuals for capital. Some of those professors, like Moody, have science backgrounds. Others, such as Andrew Lo, a professor at the MIT Sloan School of Management, and John Campbell, a professor in the economics department at Harvard University, are trained in finance. Still others, like Richard Clarida, a Columbia University economics professor and former assistant secretary of the U.S. Treasury under President George W. Bush, bring a macroeconomic perspective to their work with hedge funds.
Some of the most successful hedge fund managers have come from academia, including former Columbia computer science associate professor David Shaw and Wharton School finance professor Sanford Grossman. The dean of academics who have become hedge fund managers is James Simons, 65, former chairman of the mathematics department at the State University of New York at Stony Brook and a winner of the prestigious Oswald Veblen prize in geometry, which is given by the American Mathematical Society every five years for outstanding research. In 1982, Simons founded hedge fund company Renaissance Technologies Corp. in East Setauket on New York's Long Island. Since 1988, his flagship $5.2 billion Medallion Fund, which focuses on futures trading, is up almost 35 percent a year after fees.

One reason professors are flocking to the hedge fund world is the chance to get rich. A finance professor at a top university typically makes $150,000 to $225,000 a year in base salary.``Their salary could go up substantially at a hedge fund,'' says Georges Holzberger, a partner at executive search firm Sextant Search Partners LLC. ``The head of quantitative research at a major fund can make well into the seven figures.''

Holzberger says the potential rewards are even higher for an academic who starts a fund. Managers typically charge an annual fee of 1.5 percent of assets under management and get 20 percent of the profits. ``I'm sure everybody is getting involved in it partly for the money and partly to see if you can really put your money where your mouth is,'' says Richard Thaler, a professor of behavioral economics and decision-making at the University of Chicago's Graduate School of Business. Thaler, 58, is a principal at Fuller & Thaler Asset Management Inc. The firm manages $2.6 billion, including $600 million by using what's known as a long/short hedge fund strategy. In such a fund, a manager hedges its long positions -- equities bought in the hope their price will rise -- by selling short. That means borrowing securities, often from an investment bank, in the hope of buying them back later at a lower price.

Daniel LeVine, senior managing director of quantitative research at Citadel Investment Group LLC in Chicago, says he expects hedge fund managers looking for ways to maintain their edge to go after more academics in the future. ``As markets become more liquid, more electronic and more continuously traded, a higher degree of analytics is necessary in order to compete,'' says LeVine, who has a Ph.D. in applied mathematics from Brown University. At Citadel, which manages more than $9 billion in hedge funds, a majority of the 50 people in the quantitative analysis group have Ph.D.'s, including a dozen who have taught.

Academia is a good training ground for hedge funds, says Thomas Schneeweis, 56, a finance professor at the University of Massachusetts, Amherst. ``An academic background offers some insight into why and when certain investment strategies make money,'' he says. Professors also need to be good at presenting ideas, a useful skill when working with traders to implement a strategy or when explaining that strategy to investors. Even so, says Schneeweis, academic professionals with little market experience have no particular edge in the investing world. ``Just because an academic is involved doesn't mean you can change the rules of nature,'' he says. ``All investment strategies make money in certain markets and lose money in other ones.''

Professors who try to maintain ties to academia face added challenges, because top universities expect professors to publish research regularly, says Frank Meyer, 60, who recently retired as chairman of Chicago-based Glenwood Capital Investments LLC, which manages about $5 billion in funds that invest in hedge funds. ``It's hard to serve both masters,'' says Meyer. ``At a hedge fund, you want to keep your ideas proprietary, because that's how you maintain your edge.''

The collapse of Long-Term Capital Management LP in 1998 underscored the risks and rewards of hedge funds for academics. Former Salomon Brothers Inc. Vice Chairman John Meriwether set up LTCM in 1993, reassembling most of his old Salomon arbitrage trading group, which included several Ph.D.'s. He also recruited Myron Scholes, a finance professor who at the time was cohead of the fixed-income derivatives group at Salomon, and Robert Merton, a finance professor at Harvard Business School. Merton had worked with Scholes and Fischer Black at MIT in the early 1970s to develop the Black-Scholes model for pricing options. ``LTCM had arguably the best academic finance department in the country,'' MIT's Lo says. From 1994 to 1996, Meriwether and his team delivered annual returns after fees of 20 percent, 43 percent and 41 percent. The firm used its computer models and extensive databases to identify pairs of financial assets whose values had temporarily moved apart -- and that LTCM expected to come together over time regardless of whether the overall market went up or down.

LTCM would buy the underpriced asset, sell short the overpriced one and then wait for the prices to converge. LTCM's convergence strategy required extensive leverage, because the price differences between the two assets tended to be small. For some trades, the firm borrowed as much as 40 to 50 times its capital, says Donald MacKenzie, a University of Edinburgh sociology professor who has published two papers on LTCM. In 1997, Scholes and Merton were awarded the Nobel prize in economics for their work on options theory. Their acclaim offered little comfort to LTCM investors in August 1998, when Russia partially defaulted on $40 billion of its ruble-denominated debt. Even though Russian bonds accounted for only a small percentage of the LTCM portfolio, the Russian default caused investors in markets around the globe to seek safer investments. That, MacKenzie says, proved to be LTCM's undoing. ``Even the trades that ought to have gone in LTCM's favor went against them, because others who had been imitating them were trying to unload similar portfolios,'' he says.

LTCM lost 44 percent of its capital in August 1998. Meriwether and his band of academics had to be bailed out by a consortium of 14 U.S. and European banks put together by then Federal Reserve Bank of New York President William McDonough. In September 1998, the banks injected $3.6 billion of new capital into LTCM in return for 90 percent of its equity and oversaw the orderly unwinding of its portfolio.

The collapse of LTCM had a sobering effect on academics who were thinking of going into money management. ``You couldn't start a company at that time and just say, `We're smart academics. Trust us. Give us your money,''' says Harvard's John Campbell, cofounder of money management firm Arrowstreet Capital LP. Campbell, 45, was born in London and grew up in Oxford, where his father taught American history. Campbell's paternal grandfather taught theology at Cambridge University.``Being a senior academic is a very nice lifestyle,'' says Campbell, stretching out his 6-foot-2-inch frame in a chair in his wood-paneled office at Harvard. ``The freedom and job security one has is unbeatable.''

In 1999, Peter Rathjens, a former doctoral student of Campbell's who had become chief investment officer at PanAgora Asset Management Inc., and Bruce Clarke, PanAgora's president, decided to form their own money management firm. They asked Campbell to join them. Harvard restricts its professors' outside business activities to no more than one day a week, or 20 percent of their time. Clarke and Rathjens agreed with Campbell that he should remain a full-time professor. ``John's a great academic, so why change that?'' asks Rathjens. ``Moreover, he would have better access to the broader flow of ideas about capital markets if he stayed in academia.''

Campbell, Clarke and Rathjens founded Arrowstreet in July 1999 to develop mathematical and statistical models for investing in global equity markets. Clarke is president and runs the now 26- person shop. Rathjens, chief investment officer, oversees the portfolios at Arrowstreet, which has about $4.4 billion in assets. Campbell, a managing partner, heads up research.
Campbell has led the development of Arrowstreet's quantitative models, which try to identify and exploit behavioral and informational errors by investors. The models look for instances when investors blunder by overreacting to news, following the herd or failing to account for new information. To find them, they analyze three factors: price momentum, earnings indicators such as changes in analyst forecasts and value measures like price-earnings ratios.

Arrowstreet looks at about 4,600 stocks around the world, which it groups into some 200 baskets by country and industry type. Late last year, the firm started buying Norwegian energy company Norsk Hydro ASA, partly because it met one of the firm's chief value criteria: Its dividend yield, about 2.4 percent, was larger than the dividend yields of other natural resource companies. The stock also had good momentum; that is, its price was going up. ``We feel that indicates a herd is forming behind the stock, and it's likely to outperform for some period,'' Rathjens says. By last December, when Arrowstreet was building its position, Norsk Hydro's share price had risen about 9 percent from its September 2003 low. As of Feb. 24, the shares were up another 26 percent.

Two years ago, Campbell and his partners launched a long/short hedge fund strategy. ``For every dollar of stocks invested long, there's one dollar of stocks invested short,'' says Campbell, who generally works two mornings a week at Arrowstreet, which is just a five- minute walk from his Harvard office. Arrowstreet's long/short strategy uses the same return forecasting and risk models as the firm's long-only strategies. Rathjens says one of the firm's best shorts was Newell Rubbermaid Inc. In April 2003, the firm's models picked up that the herd was starting to turn against the U.S. consumer products maker. Arrowstreet's traders began shorting Newell at about $30 a share and closed out their position in October in the low $20s. Rathjens declines to disclose how much profit the firm made.

The initial performance of Arrowstreet's hedge fund has been mixed. Campbell says the firm hopes to deliver, before fees, a return of 10 percentage points above the interest rate clients could get investing in a short-term instrument such as 90-day Treasury bills. The fund surpassed its objective in 2002 and fell short last year; Rathjens won't reveal specific performance numbers. Like Harvard, MIT follows the one-day-a-week rule. Compliance is left largely to the honor system; faculty members are expected to inform their department heads of all outside professional activities and are required to fill out an annual form detailing those activities. Professors don't have to disclose how much money they made from them. Richard Schmalensee, dean of the MIT Sloan School, says Andrew Lo has been a model citizen when it comes to accounting for his time. Lo, 43, teaches finance and investments at Sloan. He's also director of the MIT Laboratory for Financial Engineering, a research center that uses mathematical, statistical and computational models to study financial markets.

Lo founded AlphaSimplex Group LLC, a Cambridge, Massachusetts-based investment management firm, in March 1999. Today, AlphaSimplex employs 15 people -- mostly Ph.D.'s like Lo -- and uses two different long/short hedge fund strategies: one that invests only in U.S. equities and another that invests globally in stocks, bonds and currencies. ``For me, getting into the practical side of things was a natural progression,'' Lo says, sitting in his fourth-floor office at MIT overlooking the Charles River. ``My research has always been about investments.''

In the summer of 1999, Lo took a sabbatical from MIT, signed a lease for office space in nearby Kendall Square and began looking for financial backing. In October, he met Donald Sussman, chairman and founder of Paloma Partners LP, which manages about $2 billion in hedge funds in Greenwich, Connecticut. Lo says they hit it off immediately, and on Nov. 1, 1999, he signed a deal to launch a fund for Paloma that would invest long and short in U.S. equities by using AlphaSimplex's quantitative models.

Lo says it took him two years to rewrite the software that he would need at AlphaSimplex for research, development and trading. ``Even though the software was pretty similar to what I was using at MIT, I didn't want to have any intellectual property conflicts,'' says Lo, who was born in Hong Kong and immigrated with his family to New York at the age of five. ``What I do at MIT with MIT funding belongs to MIT.''

Lo's title at AlphaSimplex is chief scientific officer. About half of the firm's 6,000-square-foot Cambridge office is devoted to computers, which Lo and his team use to scour markets for price anomalies. They look at fundamental factors such as dividend yields, as well as behavioral signals such as reactions to earnings surprises. Unlike the strategy at LTCM, which was designed to find long-term arbitrage opportunities, AlphaSimplex's models, Lo says, try to capitalize on short- and medium-term imbalances in the supply and demand of securities.
AlphaSimplex started trading its long/short fund for Paloma in April 2001. Although neither Lo nor Paloma will comment on performance, the fund has done well enough to attract interest in a second one from large investors such as Global Asset Management, a subsidiary of UBS AG that manages $12.8 billion in hedge funds. In December 2003, AlphaSimplex launched a global hedge fund that plans to invest in stocks, bonds and currencies in 10 countries. The $250 million fund closed to new investors on Feb. 1.

Some career academics who take the plunge into hedge funds have long dabbled in the markets. John Moody says he began trading futures contracts -- agreements to buy or sell a commodity or financial instrument at a set price and date in the future -- in the mid-1980s as a postdoctoral student at the Institute for Theoretical Physics at the University of California, Santa Barbara. He continued to trade for his own account at Yale University, where he taught computer science from 1987 to 1992. One of his best trades was a bet on palladium futures in 1989 following news that two Utah scientists had successfully used palladium rods to create cold nuclear fusion. He says he rode the price up amid the resulting speculative furor and then shorted the futures a day before it became clear that the results of the experiment couldn't be replicated -- making a profit of almost half a year’s salary.

Moody, who has published more than 65 research papers on computer science, physics and finance, left Yale in 1992 to teach at the Oregon Graduate Institute in Portland, where he had grown up. This past autumn, he decided to take a break from full-time academia to focus on JE Moody & Co., a hedge fund he started almost three years ago. He left OGI and joined the Algorithms Group at the International Computer Science Institute, a nonprofit research center affiliated with the University of California, Berkeley.

One of Moody's specialties is machine learning, which involves the development of algorithms, or series of instructions, that enable a computer to learn to solve a problem through trial and error. Programmers at International Business Machines Corp. used machine learning to help teach its Deep Blue chess program, which beat world chess champion Garry Kasparov in 1997. ``The system utilized machine learning because brute-force search methods weren't sufficient,'' says Moody. ``In machine learning, the computer doesn't try to memorize everything; rather, it tries to distill qualities of decisions that give good results.''

Moody says that just as machine learning algorithms can teach a computer to play chess, they can enable computer programs to learn to make trading decisions based on direct experience. ``A good trader must learn to recognize and act on opportunities, to trim positions when markets are uncertain or volatile and, most of all, to avoid the risk of ruin,'' he says.
Moody calls his computerized trading programs RoboTraders, and he teaches them by means of simulations. ``Without risking capital, a RoboTrader can acquire 10 to 20 years of simulated trading experience across a range of markets and market conditions,'' says Moody, who has hired three researchers and a human trader to execute the trades. ``To graduate and go live, we require that the strategies learned by a RoboTrader are easily interpretable by us humans and that they make sense.''

Last October, Moody bought futures on the Australian dollar, which at the time had risen about 10 percent from its September lows. A RoboTrader recommended buying Australian futures as the best way to play the weakening U.S. dollar, because short-term interest rates were higher in Australia than in the U.S. and the Reserve Bank of Australia was expected to raise them further, which it did in November and December. In mid-January, the RoboTrader said it was time to sell, as the dollar had started to show short-term strength against all major currencies. On Jan. 15, Moody closed out his futures position, thereby making 10 percent on the trade.
Moody says his computerized trading system is right about 60 percent of the time and that the winning trades tend to make much more money than the losing ones lose. In 2003, his fund outperformed the benchmark Barclay CTA Index of 359 commodity trading advisers, which was up 8.6 percent. He says the fund made money in energy, currencies, platinum, silver and copper.

Professors who make the transition from academia to a hedge fund often confront a more hectic lifestyle. Columbia's Richard Clarida, 46, says one of the biggest changes for him was the noise. ``It can get pretty loud,'' says Clarida, chief economic strategist at New York-based hedge fund manager Clinton Group Inc., which invests primarily in fixed-income securities. Although he has a private office, Clarida says, he spends 99 percent of his time at a desk in the middle of Clinton's 50-person trading floor, sitting next to the firm's founder and president, George Hall.
On the morning of Jan. 13, the Clinton trading floor was less noisy than usual because many of the traders were listening to Alan Greenspan. They wanted to hear whether the Federal Reserve chairman, who was speaking in Berlin, would express any worries over the near-record U.S. current account deficit. Greenspan didn't, sparking a rally in the dollar. ``Had he expressed serious concern about the ability of the U.S. to finance its current account deficit, the dollar might well have broken the other way,'' Clarida says.

Clarida's academic background has equipped him to interpret the Fed's actions. His research has focused on global macroeconomics, and he has published several papers that modeled Fed monetary policy under Greenspan. He also served as assistant secretary of the Treasury for economic policy in the Bush administration from February 2002 to May 2003. As the Treasury's chief economist, Clarida says, he had several private briefings with Greenspan.
Clarida has multiple roles at Clinton. He's there to consult with traders and analysts when news breaks or the government releases economic figures. He's developing new trading strategies using some of his academic research on the link between exchange rates, interest rates and yield curves. He has even gotten involved on the marketing side of the business, meeting with clients when they come to New York and giving them his take on the economy.
Since last autumn, Clarida has been saying that the Fed will be in no hurry to raise interest rates as long as U.S. economic growth continues to be driven by strong productivity growth without any significant improvement in employment. ``Once the Fed does start to hike rates, there will be a lot of tightening in the pipeline,'' he says. ``That makes this a challenging environment on the fixed-income side.''

It's especially challenging for Clinton Group, whose records have been under review by the U.S. Securities and Exchange Commission and the Commodity Futures Trading Commission following the resignation of a Clinton trader last October. The trader, Anthony Barkan, said in an e-mail that he quit because of a disagreement with senior management about how some of the firm's bonds were being priced.

Clinton hired auditing firm PricewaterhouseCoopers LLP to investigate the matter. Hall, Clinton's president, said in a letter e-mailed to investors on Nov. 26 that the results of the internal review had been furnished to government authorities. In a separate note e-mailed the same day, Clinton's directors said the investigation had shown that the firm's methods for valuing its assets ``were consistent with industry practice'' and ``materially accurate. ''Clarida declines to comment other than to say that his job as economic strategist does not entail the pricing or valuation of any securities.

Clinton struggled last year as its flagship Trinity Fund Ltd., which invests in mortgage bonds, was down 22 percent. Clinton began 2004 with $2 billion in hedge funds, down more than 60 percent from a peak of $5.5 billion in August 2003, as many investors pulled out late last year.
Clarida stands by his decision to join Clinton. ``Hedge funds provide important liquidity to the markets and enable them to function better,'' he says. ``Hedge funds are here to stay for some very sound and fundamental reasons.'' Still, his experience highlights the fact that academics who stray off campus don't always make a score. Even with glittering academic credentials, sophisticated quantitative models and computers that can learn, professors can still get trumped by the market.

Tuesday 1 May 2007

Story of James H. Simons

http://www.ft.com/cms/s/722470d0-f4e7-11db-b748-000b5df10621.htmlThe billion dollar boffinBy Ben WhitePublished: April 27 2007 19:03 Last updated: April 27 2007 19:03

When James H. Simons celebrated his 60th birthday he did things a bit differently than private equity king Stephen Schwarzman. Instead of throwinga lavish gala and hiring Rod Stewart to serenade his guests, Mr Simons hosted a geometry symposium that featured chats on such topics as the Chern-Simons Invariants.In fact, Mr Simons, president of $25bn (€18bn; £12.5bn) hedge fund group Renaissance Technologies, does just about everything a little differently. The bearded 69-year-old is a prize-winning mathematician and former code-breaking cryptologist who spends little time on the Manhattan social circuit. He hires almost no one with a Wall Street pedigree, instead populating his150-person group with PhDs in fields ranging from astrophysics to linguistics.ADVERTISEMENTIn social settings, friends say the grandfatherly Mr Simons occasionally turns up without socks and prefers to talk about science and maths rather than finance. But there is one thing the chain-smoking Mr Simons does share with others on Wall Street: the ability to make money. And he makes more of it, for himself and his investors, than just about anyone else.According to a survey out last week from Institutional Investor’s Alpha Magazine, Mr Simons took home $1.7bn last year, the biggest haul among hedgefund managers and about 31 times the $54m paid to Lloyd Blankfein of Goldman Sachs, the top-paid Wall Street chief executive. Forbes magazine hasestimated Mr Simons’ wealth at about $4bn.Mr Simons’ income is the result of big gains posted by Renaissance’s two main hedge funds. One of them, the $5.3bn Medallion, now consists only of MrSimons’ money and that of other Renaissance employees. But even when outside investors were paying Medallion’s legendary fees – 5 per cent of assets and 44 per cent of profits – they had little to complain about. Medallion has returned an average of 36 per cent per year, after fees, sinceits launch in 1989. It reportedly returned 44 per cent last year. That makes Mr Simons the most successful hedge fund manager of all time, ahead oflegendary investors including George Soros.Renaissance launched a new fund in 2005 targeting institutional investors and has so far gathered over $20bn on the way to what Mr Simons says could be as much as $100bn, which would make it the largest fund in history. Renaissance Institutional Equities Fund charges fees closer to the industry standard 2 per cent of assets and 20 per cent of profits. It is only up about 1 per cent so far this year, according to an investor, but gained about 20 per cent last year.How does Mr Simons do it? No one outside of Renaissance really knows. “Clearly it is an extraordinarily impressive firm with legions of brilliant people and computing power that exceeds most nations,” says Michael Rosen, a consultant at Angeles Investment Advisors, who has visited Renaissance twice but not yet recommended RIEF to clients. “The big issue for us is transparency and really understanding what they do ... Even if they were to explain their algorithms to me I’m not sure I’d understand them.”Even though RIEF is intended to be less volatile and more transparent than Medallion, Mr Simons has admitted that it, too, is really a black box. “Of course we can’t show the model or tell people how we calculate our forecasts. That would be like Warren Buffett telling the world what stocks he’s buying before he buys them,” he told Pension & Investments magazine late last year.Mr Simons is the king of the “quants”, quantitative investors who use complex models to come up with trading strategies. Renaissance has reportedly spent $600m on computers and other technology, much of it packed into the group’s 50-acre campus in East Setauket, about an hour from Manhattan. Mr Rosen describes the location as a cross between a university campus and the Pentagon, featuring a gym, a library, a tennis court and an auditorium that hosts academic lectures on topics with little connection to finance. On this campus, and at Renaissance’s office in Manhattan, Mr Simons and his army of PhD’s gather mountains of data on every conceivable security and futures contract and search for patterns, or “signals” that will tell them what is going to happen and when.That is where people such as the astronomers come in. They are expert at taking satellite images and eliminating “noise” to produce a clear picture. The astronomers apply similar techniques to help sift huge streams of market data to find clear signals. In the case of Medallion, the signals highlight anomalies that often last for just micro-seconds, requiring massive daily trading that can account for significant volume on global exchanges.With RIEF, Mr Simons and his staff spent years searching for long-term signals to create a far larger equities fund that would be less volatile andtrade less often, making it more appropriate for big institutions that prize steady, low double-digit returns.Mr Simons, the son of a shoe factory owner, earned his maths PhD at the University of California at Berkeley and then worked as a code breaker during Vietnam, his first professional experience picking up hidden signals.He was fired for making critical comments about the war. He taught at Harvard and the Massachusetts Institute of Technology before becoming chairman of the maths department at Stony Brook University on Long Island. Asuccessful amateur investor, Mr Simons left Stony Brook in 1978 to launch what would become Renaissance. He now spends spare time on philanthropic work, chiefly promoting maths and science teaching in public high schools through his Math for America foundation. Mr Simons and Marilyn, his wife, have a daughter with autism and are heavily involved in autism research. Mr Simons had two sons die young, one at 34 another at 23, and has made large bequests in their honour. He has two older children.Mr Simons continues his academic work. “I don’t know how he does all that he does. I don’t think he ever sleeps,” says Irwin Kra, who runs Math for America.Mr Simons donated $25m to Stony Brook to help build a geometry and physics centre. At the annual Stony Brook fundraising dinner, he employs his formidable talents as a master of ceremonies. “It’s pretty hard to keep those things from being boring,” says David Ebin, chair of the maths department and a long-time colleague of Mr Simons. “But he manages to do it.”Additional reporting by James Mackintosh

Friday 13 April 2007

Statistics and Modelling

Read two books recently, Statistical Techniques in Business & Economics and Spreadsheet Modeling & Decision Analysis.




The former covers a lot of statistics basics and some econometrics as well, which makes it a rather good introduction book to statistics. Only when I have read the second book I realise that it is a perfect companion to the first one. Spreadsheet Modeling & Decision Analysis shows how to use Excel to build models to solve statistical problems. The book is full of practical examples and I particularly like the step-by-step instructions for building those models, very clear and consistent.

Well, have had enough fun on statistics and it's about time to go back to the portfolio building! :-)

Thursday 5 April 2007

The Beginning


This is the beginning of Taurus iClub.

It is going to be a long journey and there will be a lot to learn. It will be exiting to see how the theory can be turned into something that can be applied in the real world!

Go Tauruses!