Monday, July 13, 2009

Monte Carlo Simulation - breakthrough in Finance

Warning: Deep material ahead!

The following has been adapted from Reading 9 of the CFA Candidate Body of Knowledge

The latest Finance model to be released in the ever so complex world of Finance is the Monte Carlo. This is a breakthrough finance program that uses a computer to model complex financial instruments in order to gain a valuation whereby analytical methods has no such solution.

Advantages:-
i) Able to model complex financial instruments
Disavantages:-
i) Provides a statistical estimate, rather than a precise solution

So what is this Monte Carlo simulation in a sentence?
Stanford University researcher Sam Savage provided the following "What is the last thing you do before you climb on a ladder? You shake it, and that is Monte Carlo simulation."

For example, currenlty in the Finance world there is no such analytical method to value an Asian-style call option. An Asian-style call option is a right to buy shares of a company whereby the price you pay is the average price of the shares throughout the life of the option and it can only be executed at maturity. Monte Carlo provides a solution to just that.

The specific steps in Monte Carlo are as follows:-

Steps 1-3 describe specifying the simulation.

1. Specify the quantities of interest (option value, for example) in terms of underlying variables. Specify the starting values of the underlying variables.

2. Specify a time grid. Take the horizon in terms of calendar time and split it into a number of subperiods, K.

3. Specify distributional assumptions for the risk factors that drive the underlying variables.

Steps 4-7 describe running the simulation.

4. Using a computer program or spreadsheet function, draw K random values of each risk factor.
5. Calculate the underlying variables using the random observations generated in step 4.

6. Compute the quantities of interest.

7. Go back to Step 4 until a specified number of trials, I, is completed. Finally produce the statistics for the simulation. The key value for our example is the mean value of the total number of simulation trials.

This mean value is the Monte Carlo estimate.

The mean value is the peak of the graph where it has the highest probability

It is awesome because we are finally able to value something that previously we could not value. We can conduct what-if analysis from Monte Carlo, something history automatically does not allow us to do. It works because Monte Carlo randomly generates observations that we can use and apply. And finally after conducting alot of trials, following the Central Limit Theorem, we can say that our mean of the trials is the population parameter (the true value).

It works!

Saturday, July 11, 2009

My first QoT score

Talk-bits: This week has been full of wonderful surprises. First, I got my results, then my tutoring at uni, and filled much with hope. God has blessed me abundantly.

I was thrilled and excited to finally obtain my first Quality of Teaching Score or known as QoTs. It's pronounced as Que-oh-Tees.

So what is this QoTs?

Well, basically if you have been a tutor for the past semester, during Week 11 of that semester the students get a form handed out to them during their normal lecture time that asks them to evaluate their tutor for how well/bad the tutor was during the semester!

It is quite scary indeed for the tutor! I was the tutor!

But fortunately...

I did better than the average tutor! Woot! Woohooo. Which basically means, my students love me. :)

Here are scores presented:

My score

Ave. Score

My tutor's explanations were clear

4.4

4.1

Tutorials in this subject are well taught

4.4

4.1

The tutor respects students' ideas

4.6

4.3

My tutor is sympathetic to students

4.1

4.1

The handouts are useful

4.5

4

I actively participate in tutorials

4

3.9

The tutor is enthusiastic about this subject

4.4

4.2


I consistenly beat the average score at every criteria! Woohoo. Praise God.

I beat the average score the most in criteria 5. It is because I regularly hand out notes to my students each week so that they can flip through it just for the 10 minutes before exam. Extremely useful!

Some bad comments from my students:-
They have trouble with my Malaysian accent!
He should discuss the assignments more with more detail

Some good comments from my students:-
"Josh Ng is my best tutor"
"Raise Joshua's pay!" (I totally agree with this)

Overall, I am happy that I am a good tutor as shown by the QoTs. But I am not satisfied, I want to become better! Let's hope that I become excellent at teaching and that I love my students and my students love me.

Thursday, July 9, 2009

Bruno: Borat was so 2006

Talk-bits: My exam results came out today! I was generally quite pleased with my results. As promised, I would like to devote all the honour to God for helping me. Thank God!

Today Wei Yan and myself went to watch Bruno. I can sum it up in a few words: This guy is freaking hilarious! I totally enjoyed myself watching Borat. And now the same actor as Borat is now Bruno.

I have watched him a few times before when he appeared on Rove and on television parading around Britain's main streets as Bruno, a fashionista. He is really daring and despite looking like a sissy to many out there, he actually has more guts than 90% of the people that I do know!

The movie was very disturbing and very hilarious. Almost non-stop throughout the whole movie I couldn't stop myself from laughing. There were a few scenes when I almost had a tummy ache from laughing. He is really that funny. In the show he portrays himself as a gay fashionist from Austria who wants to become famous. He eventually realises his dream in America through the most non-conventional, embaressing-to-watch way ever.

His sense of humour is just extraordinary. I totally like his humour but not his style. To top it off, I heard from Wei Yan that he is actually married and has a kid! So he is straight in real life. But his acting portrays him like a true gay! I cannot believe how good he is.

I do not know if it is worth it to pay money to watch this movie in a cinema (it is actually quite short just 1 hour 23 minutes) but definitely some how or another, you have to watch this! It is really an eye opener and laughter generator. Not recommended for young children.

Tuesday, July 7, 2009

Wimbledon 2009

Watching tennis has always been a joy. I am sure those who paid their money to go all the way to Wimbledon and watch the finals would have been worth every cent of it. This year's Wimbledon final match roger federer vs andy roddick has been nothing short of spectacular. It has truly been an epic and not worth missing even a single second of it.

There was huge pressure on Andy Roddick from the very beginning as his record was 2-18 against Federer in the past. On the other hand, however, he has played a thunderous quarters and semis against extremely tough opponents to get to where he was, the final. Roger Federer, World No.2 since he lost to Rafael Nadal has had a relatively smooth ride to the finals, or maybe because he was just that good at tennis. This year's Wimbledon is missing Rafael Nadal, last year's winner, because of leg injury. The match has been set up perfectly for Federer vs Roddick.

At the end of the first set, Roddick was leading 1-0 to Federer, a pretty shocking result for everyone. Not once did Federer beat Roddick's serving sets. He was iron clad at serving at speeds past 200km/h per serve. The 2nd set begun. Roddick and Federer tied again until the tie breaker game. In the tie breaker game, Federer made a few blunders. He was down 1-4 against Roddick. Miraculously, Federer went on to win every single set after that to win 7-5. Simply miraculous. It was because of this set that started Federer's momentum that would eventually give him confidence to win the entire game.

In the 3rd set, Federer and Roddick tied all the way until the tie breaker game again. Federer won again due to mistakes by Roddick. In the 4th set, Federer made a costly mistake that saw him lost one of his serving sets. Roddick just had to win all his serving sets in order to win this set. It was easy for Roddick. Finally, we come down to the final set. Set five was one of the longest sets I have ever watched in my tennis history. In set 5, there is no tie breaker game. Therefore, the first person to lose his serving set would lose the entire set, the Wimbledon trophy, $1.7million in dollars, and of course their name going down in history as the Wimbledon 2009 winner. Federer was the one who won in the end, having played until something like 16-14. The pressure was extremely high and I watched the event from 11pm to 4am in the morning the next day. It was definitely so exciting to watch!

There were a few lessons I learnt from Wimbledon 2009.

Lesson #1: You must want something very, very badly in order to win the toughest of opponents
Lesson #2: If you put your mind to it, you will win it.
Lesson #3: You must adopt a winner's mindset in your games in order win in the toughest situations.
Lesson #4: Never, ever give up hope! Don't have self-doubt.
Lesson #5: Even after a tremendous defeat, never forget your sense of humour.

I hope that you see how they apply in your everyday situation and that you can apply it to your life.

Thursday, July 2, 2009

Today, I started my CFA

I think the title rhymes.

Today is a special day for me because today is the day I start studying for my Chartered Financial Analyst (CFA) examinations!

It is to be sat on the 6th of December 2009.

..

And I don't think I can finish in time.

6 textbooks.
A whole lot to memorise.
About 3000 pages to read.
Then memorise.

The first topic I learnt is about the CFA Institute Code of Ethics and Standards. I swear I did not know as a Candidate of the CFA Program I had so much standards and ethics on me that I have to keep. I cannot break the law anymore, if not, I will be banned from sitting the CFA examinations.

Professionalism, that is Standard I. That covers (without all the lengthy explanations):-
i) knowledge of the law
ii) independence and objectivity
iii) misrepresentation
iv) misconduct

That is just one tenth of Reading 1. In total there are 74 Readings.

My time starts now!

Tuesday, June 30, 2009

Kenjisan Investments Annual Partner Letter

Dear Partners,

It has been another year of dramatic swings in the market with lots of market activity going on. It has already been one and a half years since our inception of this wonderful partnership with which we hope for it to be a going concern in the many years to come.

Our investment philosophy has not changed at all since the time of our inception. We have focused our efforts in finding businesses that satisfy these criteria:

1) Businesses that operate with low or no debt

2) Businesses that have a sustainable competitive advantage

3) Able to achieve high returns on equity consistently

4) Are available at attractive prices

Unfortunately, these type of businesses are rare and prove superbly difficult to find in the Australian sharemarket. We are restrained towards investing in listed public companies due to the size of our operations which remain to date small. Far too often, we find businesses that satisfy criteria 1) and 3) but rarely do they satisfy criteria 2) and 4).

In recent times, however, the Australian sharemarket and other sharemarkets around the world has been brought to much lower levels due to the Global Financial Crisis (GFC). This has made it much easier to find criteria 4), although criteria 2) remains a challenge. The difficult part is finding businesses with sustainable competitive advantages that are currently out-of-flavour in the market. We often find the companies that we like are also favoured by the market.

As fellow partners of our partnership, I am urging every partner to aid my fellow Officers and myself in helping us to identify good quality businesses. As I am aware of our diverse backgrounds of each of our partners, I have singled out Criteria 2) for our partners as it does not require much commerce skills but rather an intuitive sense of business opportunity for a person to realise that a business has indeed a durable advantage over its competitors. It also proves to be the most elusive of all 4 criteria as many businesses do not indeed have sustainable competitive advantages. Therefore, the finding of any of those special businesses would be highly appreciated.


On our performance

Our performance are as follows:-

From 1st July 2008 to 30th June 2009:

Market performance: -25%

Kenjisan Investments: -8.8%

The market performance is taken as the percentage change in the All Ordinaries Index from the beginning to the end of this financial year. Our performance is calculated based on our unit price as at each financial year beginning and end, and we then take the percentage change. Our unit pricing is based on a comprehensive formula that takes into account market values of all our holdings. Therefore this formula is highly subjected to the volatility of the sharemarket at any one given point.

To a certain degree, this formula may incorrectly represent the true value of our holdings as when we invest in parcels of shares, we invest based on an estimated intrinsic value of the business but we pay the market price. Hence, if our holdings are out of favour by the market and is brought down even further despite no change in the economics of the underlying business, then we are seen to have made a loss on paper even though we have no intention of ever selling those shares in the near term. In fact, we see the drop in share price as providing an even more attractive opportunity to further increase our holdings in the business.

We are delighted by the fact that we have done much better than the market, however, we are still disappointed over our progress. We realised that we could have done better by just holding cash and accruing interest. One of our believes when purchasing shares is that we cannot time the market properly. Hence, if we had bought the shares a week before financial year end, and at financial year end it drops to 50% of its market value, but right after it increases 200% in value, we will not regret buying it at the time we bought it. There is no one that can tell what share prices will do in the near future, but it is possible to tell for certain businesses what they will be worth 10 years down the road.


On our Accounts

At present levels, we are holding about 60% of our portfolio in cash. We currently hold about $9700 in cash and have about $7000 in market value of securities. We have zero debt and liabilities. We are anticipating to invest the money in attractive securities if they are found. In total equity terms, our operations have grown to about $19,000 from about $14,000 the year before. That represents a growth of about 36% per annum. If we continue at the same pace, then the following projections hold:

Total Size of Kenjisan Investments:

1 year ahead, 2010: $25840

6 years ahead, 2015: $120222.86

10 years ahead, 2019: $411284.82

However, achieving this growth will be very unlikely unless we utilise both increased contributions and increased return on investment, which highly depends on market levels in a particular year.

We would like to note that growth for growth’s sake is not the way to be pursued. We will not equate activity with progress and a bigger size with increase in underlying value. For example, if you have a 150 acre land and your neighbour has a 90 acre land, then combining under a 50-50 merger would increase total land under management to be 240 acres, but individually you would be worse off because you own only half of the total pie, in this case you own 120 acres, 30 acres less than before. Therefore, there are two types of growth, good and bad growth. We shall focus on achieving good growth.

In our Income Statement, we have produced a loss of $406.42 for the financial year end. Our income statement only takes into account net profit from sale of shares, expenses from operations, dividends and interest income. Therefore, quite often is the case in this market that even if we have a share that is below the price at which we bought it, the paper loss will not be recognised in the Income Statement until we actually sell it. Presently, all our share holdings are recorded at cost in our Balance Sheet.

Therefore, the Income Statement can be misleading in two scenarios. In scenario 1, we could have bought many shares that are subsequently worth only a fraction of what we paid for it. Yet the Income Statement would not record any of this decrease in market value of the shares. In scenario 2, we could have bought shares that subsequently appreciate in value to a very large amount. However, we would not have recognised this gain in the Income Statement until we have actually sold the shares.

Most of our loss comes from the realisation of shares we no longer believe to adequately hold for the long term prospects of our partnership. Our investments are further elaborated in the next section.


On our investments

At present, we are holding four securities, namely The Reject Shop (ASX Code: TRS), Saunders International (ASX Code: SND), Innamincka Petroleum (ASX Code: INP) and Blackmores Limited (ASX Code: BKL).

We whole-heartedly believe that The Reject Shop is one of those businesses that satisfy all of the four criteria above at the time of our purchase, and it still continues to satisfy criteria 1) to 3) albeit not criteria 4). They run their business on low debt, which is not a capital intensive business, achieving high returns on equity and at the same time maintaining their cost advantage over their competitors due to their economies of scale. In their industry, when we buy low-priced goods, for the customer it does not matter where they purchase it from. As long as it works the customers are happy. Hence they operate in a very commoditised product market. In this type of market, it is very similar to insurance. In this industry, the type of business that will stand out from the pack would be those businesses that have a cost advantage over their competitors. If sustainable, that will enable the owners of TRS to continually achieve above average profits for the long-term benefiting shareholders the most.

Blackmores, on the other hand, operates in a market where referrals and product differentiation are very important. They have one of the most recognisable brands in South East Asia, which is good for their business. It takes a long time to build up a brand from scratch and they have done a good job in promoting and maintaining it. However, the only downside is that their products are priced expensively, which is a norm for many Australian products. Their main competitor is Nature’s Own but they have an edge over them due to their superior brand. I believe that in this current market downturn, it is a wonderful opportunity in disguise for the shrewd investor to take opportunity of. They have recently changed CEO, news of which I am still monitoring the company to see the results of such a change.

The last two holdings however, I believe have been a mistake on the part of your Officers. We got lured into investing into them due to their high prospect for profit. Things unfolded and the GFC hit us, which dampened their prospects greatly. Our best response to the situation is to continue holding onto them and hopefully the economy turns out better which will cause their prospects to improve as well. I am highly grateful if they continue to survive at the very least. We have learnt that investing in prospective companies never pay off. It is highly beneficial, however, to invest in a company with certain earnings that are currently selling for a valuation far below what they would justifiably carry.

Throughout the financial year, we have made a profit on some of our previous holdings. We bought and sold BHP Billiton, Woolworths and JB Hi Fi all for a profit. On the other hand, we bought and sold Westfield and ASX all for a loss. They have been investing mistakes for which our mistakes have been inaccurately forecasting their business prospects. Note how all these links to criteria 2) which is ever elusive. We have sold them for we feel that there are better prospects out there for which can justify our investment more than our holdings in the respective shares at that time.


On Valuation

Many partners have indeed shown interest in business valuation. Valuation is the art that takes into account consideration of many variables. It is simple to master but implementation requires accurate business judgment by the person valuing the business.

In a nutshell, valuation is taking the Earnings and multiplying it with an appropriate Price to Earnings Ratio(PE) ratio. I will now demonstrate why growth in high Return on Equity businesses constitute good growth and growth in low return on equity businesses constitute bad growth.

For example, if you have two businesses, A and B, each achieving a return of equity of 20% and 10% respectively. Return on Equity is calculated as Net Profit/Retained Earnings. Each business retains half of its profit each year and distributes the other half as dividends to shareholders. Each business earns a dollar in profit initially.

You are given the following table:

Business A

Business B

Year 1

Year 2

Year 1

Year 2

Opening RE

$5

$5.50

$5

$5.25

Return on Equity

20%

20%

10%

10%

Net Profit

$1

$1.1

$0.50

$0.525

Dividends

$0.50

N/A

$0.25

N/A

Undistributed Earnings

$0.50

N/A

$0.25

N/A

Closing RE

$5.50

N/A

$5.25

N/A

Valuation with PE=10

$10

$11

$5

$5.25

Change in Valuation

-

$1

$0.25

Legend:

RE – Retained Earnings

Formulas:

Undistributed Earnings = Net Profit - Dividends

Net Profit = Opening RE * Return on Equity

Closing RE = Opening RE + Undistributed Earnings

Valuation = Net Profit * PE

In Business A, notice that 50 cents of undistributed earnings causes an increase in valuation of 1 dollar. What that means is that, each dollar invested in the high return on equity(ROE) business eventually translates to 2 dollars of market value of the business.

In Business B, notice that 25 cents of undistributed earnings causes an increase in valuation of just 25 cents. In Business B, retaining a dollar would not cause any difference to the dollar being invested, and it will not be worth more. Therefore, putting the dollar into high ROE businesses is what Kenjisan Investments is trying to achieve. That is achieving criteria 3).

Assuming Business A is currently selling for $8. That is a discount of 27% to its intrinsic value in year 2 of $11. Buying a business at attractive prices, that is, at a price substantially lesser than its intrinsic value is achieving criteria 4). If the business can continually achieve abnormal profit levels, that is achieving criteria 2). Finally, if they operate with low or no debt, that is achieving criteria 1).


Future Prospects of Our Partnership

If the current market is to improve, it will undoubtedly bring us sure profit and increased market valuations across the board for all our holdings. It will definitely be favourable for our portfolio. However, the lack of attractive prices might actually harm our long term prospects because we are unable to find a home for our cash that is sitting in the bank. No doubt that it will continue to earn interest, but over the long-term shares will outperform any bank deposit account.

We also hope to have increased cooperation from our members in the future. Our vision of an ideal partnership would be that of great contribution from each partner and more communication between partners and between partners and Officers. Our investing ability depends highly on the contribution of each partner towards the partnership. Due to time constraints, your Investment Officer might not be able to fully research and analyse companies because that is very much a time consuming activity. There are full-time jobs for research analysts (what your Investment officer does) in the finance industry. However, we will do our best in avoiding costly investment mistakes and focus towards investing in quality businesses that are available to invest in Australia.

Our hope is that we can use Kenjisan Investments as a vehicle in which it will someday be worth millions and that it will be a major shareholder and owner in quality businesses. We hope to achieve that of course with the original 13 partners having the majority stake in this vehicle.

Your Investment Officer,

Joshua Ng

July 2009

Sunday, June 28, 2009

Michael Jackson you always rock!

On Friday, I woke up to the sad news that Michael Jackson has passed away.

Everywhere around the world, fans mourne and people break down and cry that their great hero, Michael Jackson, has passed away. Radios and televisions around the world talked about his sudden death (of cardiac arrest). The whole morning Malaysian Radio was playing his songs.

I grew up with MJ when since I was young. His songs were great and everyone remembered him as the king of pop/king of dance. I remembered in school, every year we had talent time, there was surely someone who would try to imitate MJ and dance like him. He was world-famous.

I remember listening to his songs and enjoying them with friends while at home, whilst partying away and whilst i am bored studying for exams. Incredibly, his songs are still nice to listen even though it has been played since the time before I was born. In 2009, it still sounds as good.

I think everyone will remember Michael Jackson as the king of pop. But I am not sure whether this world will ever experience another Michael Jackson. He was truly unique in his own way.

I always remember his famous quote in his song, "It doesn't matter if you are black or white". May this world remember him for that and that may we get rid of racism forever.