Browse Author by Qiao Zhou
Books

My 2021 Reading List

  • Elon Musk: Tesla, SpaceX, and the Quest for a Fantastic Future
  • What It Takes: Lessons in the Pursuit of Excellence
  • A Promised Land
  • The Ride of a Lifetime
  • Why We Sleep
  • The Six Pillars of Self-Esteem
  • Breath
Uncategorized

Courses

Coursera

Investment Management with Python and Machine Learning Specialization: The uniqueness of this series is that it is taught by both professors with academic background but also practitioner who is actually running an asset management firm. I find their Python Lab session especially helpful.

Convertible arbitrage

The Case for Convertible Bonds in 2019

Want to share some takeaways I had after reading Jefferies’ Feb 7 2019 report on convertible bonds (Sean Darby, ‘Global Asset Allocation: An Equity Investor’s Guide to Convertible Bonds’).

  • CB issuance, turnover and liquidity are better than investors perceive
    • Breaking down for market cap
      • by region, among the 314bn issuance outstanding, US accounts for 55% (172 bn), Europe 28% (87 bn), Japan 8% (25.9 bn), Asia Ex 9% (28.8 bn).
      • by sector, IT 18%, Health Care 11%, Con Discretionary 11%, Industrial 10%, Real Estate 9%, Con Service 9%, Energy 8%, Materials 8%, Financials 7%, Utilities 5%, Con Staples 2%.
      • by profile, 37% bond-like (<30D), 41% balanced (30-70D) and equity-like (>70D) 22%. US CBs are more equity-like than European CBs, which are more debt-like in nature.
      • by credit, IG (<200 bps) 59% and HY (>200 bps) 41%.
    • Liquidity is not a constraining factor in the US. The CB market annual volume over market size is 1.9X vs 1.4X in the US HY credit market.
      • US CB volume traded annually= $325bn, market size= $172bn, turnover=1.9X
      • US HY volume traded annually=$1.74tn, market size=$1.22tn, turnover=1.4X
    • Issuance of CB has increased significantly over the past 18 months as corporate issuers attempt to raise capital ahead of rising interest rates.
      • The CB asset class has traditionally boomed in such periods as it gets more expensive for these issuers to issue in the HY market with rising rates. The US issuance has high correlation with US rates. We are likely to see substantial issuance in the coming years, as the rate cycle in both Europe and Asia catches up with the recent US rate hikes.
      • As interest rates begin to rise (Fed continues the normalization policy), the CB issuance is expected to increase as can be seen from historical evidence.
  • Why do companies issue CBs?
    • They are less expansive to raise capital than straightforward equity or bond.
    • Compared with bonds, investors require less coupon in CB.
    • Compared with equities, its ability to deduct interest payments from tax obligations helps lower the cost of capital.
  • The benefits of CBs as an asset allocation tool
    • Convexity- price will tend to fall at a slower rate than underlying equities. CBs offer the potential for more upside than losses on the downside or asymmetric price behavior.
    • Since 2009, CBs has performed in-line with global equities. During equity sell-offs, CBs have protected investors, while providing up-side participation.
    • CBs have tended to outperform other fixed-income asset classes in periods of rising interests (rates tightening cycles). While HY bonds have a tight correlation to equities, they do not offer the same downside protection. Why CBs provide protection during rates hike periods?
      • Firstly, as equities represent a participation in the real economy they generally appreciate in nominal terms as rates rise. This exposure to rising equity prices mitigate the shortcomings in duration.
      • Secondly, CBs tend to have shorter duration than straight bonds. Over the past 20 years, any time US treasury yields have risen by over 100 bps, CBs have tracked equities better than bonds.

The bottom line: CBs offer equity ‘optionality’ with low volatility alongside reduced drawdown. CBs’ asymmetric structure combines the best of equties and bonds, making them a perfect diversification tool as Central Banks normalize policy.

Mathematics

Blue-eyed islander puzzle

In a village, there lives 100 people. Among them, there are 95 people with blue eye, and 5 of them are with red eye. Everyone can see the eye color of the rest 99 people, but they don’t know their own eye color and they are not allowed to ask people about it or check it themselves in a mirror.

There is a strange ancient law that anyone who knows their own eye color must suicide the next day in the central park of the village. As a result, no one in the village likes to discuss about the eye color in their daily conversations.

One day, a tourist visited the village. Due to their hospitality, they held a celebration dinner for the visitor. During the dinner, the visitor gave a toast that he really enjoyed the trip and he is glad to find out that there are people with the same eye color as him- red. He didn’t mention who is red eye, but suddenly people are all in silence. The visitor realized that he has toughed on something he should not have brought up, so he left shortly after with guilt.

Question: If all the 100 people living in the village are rational people and sufficiently intelligent, what will happen?

 

Answer: 5 days later, all the 5 people with red eyes suicided in the central park.

The original question is from Terry Tao’s blog[1]. This question can be solved using exhaustive sampling or mathematical induction.

Exhaustive method

  • At day 0, the visitor announced that there are people with red eye in the village.
  • If there is only one red eye
    • The one with red eye will suicide on day 1 because he sees no other person with red eye, so the red eye person must be himself
  • If there are 2 people with red eye
    • The 2 red eye people know that there is at least 1 red eye (could be 2 if himself is red eye, but he is not sure) and the rest 98 know that there are at least 2 red eye people (could be 3 if himself is red eye, but he is not sure)
    • If there is only one red eye, then that people will suicide on day 1
    • If day 1 there is no one suicide, then he knows that there is one more red eye and that must be him, so he will suicide on day 2; the other people with red eye will think the same way so they will both suicide on day 2
  • If there are 3 people with red eye
    • The 3 red eyes know that there are at least 2 red eyes (could be 3, but he is not sure); the rest 97 know that there are at least 3 red eyes (could be 4, but he is not sure)
    • On day 1-2, nothing will happen
    • On day 3, since no one died on day 2, the 3 red eyes now know that there are more than 2 red eyes, and himself must be with red eye, so all the 3 red eyes will suicide on day 3
  • Following the same logic, if there are N people with red eye
    • No one will die during day 1 to (N-1)
    • On day N, all the N people with red eyes will suicide simultaneously

 

Mathematical induction:

  • If there is only one people with red eye, he will realize himself immediately that he is the one with red eye, so he will suicide on day 1. So, the hypothesis is valid when N=1.
  • Now assuming: if there are N people with red eye, they will all suicide together on day N after the visitor’s announcement.
  • On day N+1, from the perspective of the people with red eyes, they all know with certainty that there are N people with red eyes in the village. They are waiting for all the N people to suicide on day N. However, no one died on day N, so now they know that there is one more person with red eye, and that’s himself. So, all the N+1 people will suicide together on day N+1. The hypothesis is thus true for case n=N+1.
  • Therefore, by mathematical induction, the statement is true: if there are N people with red eye, then all N people will suicide on day N.

 

So here seems to be have a paradox: what new information did the visitor bring by announcing that there are people with red eye in the village? Isn’t that something people already know?

 

Yes, there are new information. Before the visitor makes the announcement, ‘there are people with red eye’ is a mutual knowledge. However, after the announcement, it becomes ‘common knowledge’.

[1] https://terrytao.wordpress.com/2008/02/05/the-blue-eyed-islanders-puzzle/

Macro

Where are we on the current debt cycle? Notes from Ray Dalio

Where are we on the current debt cycle?

There are multiple stages of the cycle

  • Early part: debt is used to create productivity incomes and cane be serviced well; asset price goes up, everything great
  • Bubble: unemployment is low, everybody extrapolates the past; since asset classes go up, they think it will continue to go up; and you borrow money and they leverage; people who calculate will find that we will not be able to sustain that level of debt growth
  • Top: central bank starts to put on brakes, tighten monetary policy
  • Down/depression: when interest rates hit zero, you must have quantitative easing and you begin the expansion

The period we are in is very similar to when we are in 1930’s. there are only two periods of debt crisis in the contrary when the interest rate hits zero. In both times, the central bank must print money and go to a different type of monetary policy (quantitative easing) and to buy financial assets. This drives up asset and start recovery, but it drives interest rates down to zero or near zero, and that buying (in this case 15 trillion of financial assets).

It’s also caused populism, more populism. Because that process creates wealth gap. The top 10% is about to the bottom 90% combined.

We are in the later part of the cycle where QE has been used most of its energy, asset prices are up, interest rates are low, and we are beginning a tightening of monetary policy (not too much capacity to squeeze out of the economy). Very much like the begin of 1937. And we have a political situation that we have more of a conflict between the rich and the poor, which brings up populism/nationalism around the world.

 

The current reflection: where we are and the concerns

We are in the 7th inning of a 9 inning game. We are in the later part of the cycle, the part of the cycle in which monetary policy is tightening, and as interest rates rise, if they rise faster than is discounted in the curve, asset prices will fall. And some point we are going to have a down turn because that’s why we have recessions.

The concern is what that down turn would be. It not likely to be immediate. Maybe in 2 years.

Geo-politically, antagonism between Established power and immerging power, rising china and united states. It starts as economic rivalry and become antagonism.

What to do to avoid what happened in 1930s-40s?

To make sure that capitalism works for most people. Look at the bottom 60% as metric. Is it Improving the wealth gap (the increase in asset value is not accruing to 6—80% of the population)? Opportunity gap? Should be considered an imperative.

We are in a privileged position to have a reserve currency. One determination of how debt can be managed is whether debt is denominated in their own currency.

We will have a squeeze to not only debt, but to pensions and health care obligations.

President should declare it as a national emergency. Bring together a commission of people, a bipartisan commission to be dealing with it, in public private partnership. For example, education (22% of high school students in Connecticut is disengaged or disconnected); Support micro-finance.

Does it mean an increase in tax? Probably, but more important is increase in productivity.

Do you have concern over the current way president Trump is dealing with debt? Not too much concern for private debt. I am concerned in about 2-year time the amount of dollar-denominated debt we need to sell abroad, which we need for funding the deficit and to have the Fed balance sheet to go down. That will require a significant amount of selling and will have an upward pressure on interest rates.

Right now, we are in a short squeeze in dollar (a debt is a short position in dollar, because it’s a promise to deliver dollars you don’t own), because there are a lot of dollar-denominated debt.

If we have lots of countries that have borrowed in dollars and have their cash flow in local currency (such as we see in Argentina, turkey and Brazil), they are in a debt squeeze. That caused the dollars to rise and that debt squeeze will be passed in two years. At the same time, if we are to sell lots of dollar-denominated debt, and that would be bearish for dollar, at that point.

 

What a normal investor should do?

There are two key parts of investing. First, what’s the strategic asset allocation? Second, the tactical moving around bet in alpha. For average people, don’t do market timing. Get a balanced and diversified portfolio, which Ray calls an all-weather portfolio.

 

How to tell where we are in the cycle?

  • Watch how much slack we have in the cycle. What’s the unemployment rate? What’s the central bank doing, is it tightening monetary policy?
  • How much debt has been used to finance those purchases
  • Amount of sentiment the euphoria
  • The pricing- how much growth has built into pricing (the yield on stock and debt), the credit spread

 

Books

My 2018 Reading List

  • Finished
    • Ray Dalio, Principles: Life and Work 
    • Yuval Noah Harari, Sapiens: A Brief History of Humankind
    • Dalai Lama, Desmond Tutu, The Book of Joy
    • Sheryl Sandberg, Option B
  • Reading Now
    • Nassim Nicholas Taleb, Antifragile: Things That Gain from Disorder
    • Daniel Kahneman, Thinking, Fast and Slow
    • Ray Dalio, A Template for Understanding Big Debt Crises
    • Heje Pedersen, L.,  Efficiently Inefficient: How Smart Money Invests and Market Prices Are Determined
    • Andrew W. Lo, Adaptive Markets
    • Samuel P. Huntington, The Clash of Civilizations
    • Steven Pinker, The Better Angels of Our Nature
Convertible arbitrage, Investing

Why convertible bonds

The basic premise behind a convertible bond is to combine a bond with a call option, providing an investor the chance to participate in potential equity appreciation, while mitigating downside participation with bond-like characteristics, specifically, a periodic coupon and principal repayment at maturity.

Why companies issue convertible bond?

  1. When a company is young or otherwise having limited access to public equity market. For many tech or health care firms, they are startups or newer firms without sufficient track record and are thus perceived as risky business. For these firms, convertible bond is often their cheapest option for capital raising, as they may experience high interest expenses when issuing debts (often non-IG) through traditional bonds. Besides, due to the embedded call option on the underlying equity, their relatively high risks (underlying equity volatility) make their convertibles bonds more valuable. This explains that why technology firms account for roughly 35% weights of the BofA Convertible bond index, as the high vol nature of technology sector benefit more from the optionality (compared with the utility sector) and the down-side protection through bond-floor matters more for these high-risk names.
  2. When the equity price is depressed, firms do not want to issue equity at a low price and dilute the existing shareholders. By issuing convertibles, company gains access to capital while delaying the dilution to a later date, when the equity market is at a higher price at which the conversion may takes place. They so can gain access to the same amount of capital through issuance of less shares.
  3. As an alternative to raising a straight bond, the issuer is ale to pay a lower coupon than a bond since the conversion option is valuable to the investor.

Why we should invest in convertible bonds?

  1. An all-weather asset class, combining bond and equity features
    • Upside participation: Access to a long-term call option, benefiting from equity upside potential
    • Downside protection: The benefits of a bond-floor, to mitigate equity volatility and downside risk
    • As a result, convertibles tend to shine during medium to high volatility periods[1].
  2. Guard against rising rates: Convertible bonds perform well during rising rates environment.
    • Convertible universe is a blend of IG and HY issuers. It exhibits high correlation to small and mid-cap equities, low correlation to IG credit, and negative correlation to US treasury bonds.
    • Rates are rising usually during economic expansion period. In a growing economy, many companies may generate more profits with improved financial performance, stable issuer fundamentals and as such, experience stock price appreciation during increasing treasury yields. Stocks tend to outperform bond during these periods. Since a convertible bond’s price is positively influenced by the underlying stock price, their prices are less influenced by changes in interest rates than other fixed income securities. Convertible bonds performed well during several rising rates periods, such as 98-00, 04-06, 09-10, 12-13, etc. It also outperformed equities and bonds during rising rate shocks such as ‘taper tantrum’ in 2013[2].
    • As a result, it has significantly reduced interest rate sensitivity
  3. Diversification benefits and broader opportunity sets
    • In addition to low correlation to IG bonds and US treasuries, convertibles provide diversification with respect to equities and HY issuers. 82% of non-IG convertible issuers are not represented in the HY universe.
    • On a sector basis, the convertible market is heavily weighted towards technology, financials and health care.
  4. Convertible bonds provide high risk-adjusted returns: for a given level of risk, convertible generated greater returns than equities historically.

 

Reference

[1] https://mainstayinvestmentsblog.com/2018/05/convertibles-shine-through-clouds-of-volatility/

[2] https://www.blackrockblog.com/2018/01/18/case-for-convertibles/

Environment, Philanthropy

Clean India- Be the change you wish to see

‘Be the change you wish to see’ – Gandhi.

I’m not Indian, however, as a friend of India, I hope the country to become cleaner.  I’ve visited India twice, both for work and personal reasons. It’s a great country with lots of untapped potentials. However, I have to agree that: India is not clean- especially the public areas such as street,  pedestrian subways and common areas of residential communities. It is not a secret that trashes, paan stains on the wall, open dumps, public urination, death traps, .etc, are commonly visible on the street of Bangalore.

I recently watched an inspirational TeD talk  from TEDxBangalore called ‘Why is India so filthy?’. A citizen of India who loves the country anomalously confessed the ‘ugly truth’ of the country, and proposed his thought on how to solve it. So why is ‘India so filthy?’ If we imagine a perfect world with good governance, in which there are no corruptions, strong government revenues, etc., will the problem of ‘public filth’ being solved?  No.

So is there hope? Yes, and the answer lies on the Indian people themselves. There are two theories that could well explain the underlying problem. One is called the ‘Broken Window Theory‘,  which is to say that visible signs of crime encourages further crimes, including serious crimes. In other word, broken window tends to become even more broken, and unbroken window tends to stay intact. To extrapolate even further, even if someone breaks a good window, someone will fix it, but few people will try to a fix a seriously damaged window. Simply put, ugliness attracts ugliness, cleanness attracts cleanness. Another theory is called ‘The Tragedy of the Commons‘, which is an economic problem that every individual will try to reap the greatest benefits from a given common resource that is easily available to all individuals; the tragedy of the commons occurs when individuals neglect the well-being of society in the pursuit of personal gain. This is the root cause for issues like public dump.

In summary, the only way to fix a broken window is to have someone fix it first. Once someone makes the window clean, the elegance itself commands respect. Similarly, the only way to solve a public problem is to let the problem become personal. Once each small community unites together to face the problem collaboratively, it is no longer a public issue and ‘the better angel of our nature’ will motivate us to help solve the issues. Good will attracts good will. As well put by Gandhi: ‘Be the change you wish to see.’ If you take a lead, people will follow, or ignore you- but no one will and could stop you.  The anomalously run ‘Ugly Indian Project’ has led to great success. Lots of volunteers, senior citizens, and even city mayors of India have worked together to solve the public problem. Now, many streets have become cleaner, and I believe India will continue to change for the better.

The same principles apply to many other aspects of life.

.

Investing, Value Investing

Notes on Value Investing

Value investing, the investment act that buys cheap asset and sells expensive assets, has historically posted abnormal returns. The name of value investing is formally coined by Benjamin Graham and David Dodd through their influential publication- Security Analysis.

As one of the founders and advocators of value investing, Graham is perhaps more famously known as the teacher of the legendary investor Warren Buffett. Although value investing has been proven to be a profitable long-term investment strategy, many argue that the principle of value investing alone does not explain the outsized returns realized by Buffett. Lasse H. Pedersen from AQR made a good point on this in his post ‘The Legacy of Graham and Dodd‘. Their analysis reveals that the success of Buffett’s investment can be explained by four key principles: (1). value investing: which is the act of buying cheap and selling expensive; (2). quality investing: which is to invest in growing and profitable firms; (3) low risk investing: as average investor is leverage averse, they tend to invest in high-risk names to boost up returns, which leaves low risk names to be relatively cheap. (4). Moderate use of leverage: Buffett applies moderate leverage (1.6 to 1) in his investments to boost up returns, through his insurance, reinsurance companies, bond issues and deferred taxes.