Showing posts with label reinvestment compounding. Show all posts
Showing posts with label reinvestment compounding. Show all posts

Thursday 27 September 2018

With compound interest, the last few years of compounding make the most difference.

The 3 components that determine how much money you will have in the future are:

1.  the amount of money invested,
2.  the length of time invested, and
3.  the rate of return.

The earlier you invest, the more you invest, and the higher the rate of return, the more money you will have in the future.

The primary attraction to investing in stocks is that the long-run rate of return is higher than the interest earned in bank accounts or bonds.

With compound interest, the last few years of compounding make the most difference.




Additional notes:

The rule of 72 is an easy rule of thumb that tells you how often your money doubles.  Divide 72 by the percentage rate of return to determine the number of years required for your money to double at that rate of return.

Saturday 29 April 2017

Return Characteristics of Equity Securities

The two main sources of an equity security's total return are:

  • Capital gains from price appreciation
  • Dividend income
The total return on non-dividend paying stocks only consists of capital gains.

Investors in depository receipts and foreign shares also incur foreign exchange gains (or losses).

Another source of return arises from the compounding effects of reinvested dividends.

Tuesday 30 July 2013

"Money makes Money". Money can snowball.

You have an investment which you are now also getting a dividend yield of at least 7%, paid in regular instalments.  What do you do with the money after your tax has been paid?

What you don't do is withdraw it from your account and spend it.  You could do that, but that would be stupid because you can use dividend payments over time to start to accrue your wealth.  Over time, this can create a snowball effect as your wealth compounds.  Imagine getting to the point at which your dividend payments alone are becoming enough to make it worthwhile re-investing them alone, aside from anything you can top it up with yourself.

When you get to that stage, you will be on the verge of creating a self-sustaining money machine.  It is what is meant by the old phrase "money makes money".  In fact, it does.

Getting your money to work for you is indeed possible if you adopt some of the core principles of investing and apply them consistently and patiently over time.  The more time, the more money will compound. 

WHY NOT have a 100-year plan that would ensure that your children and grandchildren grow into very wealth people indeed.  Investing is a relay marathon, not a sprint. 

Sunday 15 July 2012

Five Basic Fundamental Investing Principles



History has demonstrated that there are five basic principles that 
you should follow if you want to be truly successful.


Invest Regularly in the Stock Market

Reinvest all of Your Profits and Dividends

Invest for the Long Term

Invest Only in Good Quality Growth Companies

Diversify Your Portfolio

Saturday 23 June 2012

Financial Planning and Reinvesting Your Passive Income




Reinvest money from passive income





My Cash Flow Framework



Cash Flow Diagram


HAVE YOU STARTED YOUR JOURNEY TOWARDS FINANCIAL FREEDOM?


No, what is financial freedom?
  7 (6%)
No, I don't intend to start my journey.
  1 (0%)
No, but I am preparing to start my journey.
  26 (25%)
Yes, I have just started my journey.
  40 (39%)
Yes, I am half-way in my journey.
  17 (16%)
Yes, I have achieved financial freedom already.
  10 (9%)



Source:  




Sunday 6 May 2012

Power of Compounding


The first glass on the left is empty.
The middle glass is  half full.
That on the right is full.

Assuming that the liquid is made up of amoeba.
Each amoeba doubles itself in 1 sec.
If it takes 1 minute to fill the whole glass to the brim.
What is the time for the glass to be half-full?

Answer: 59 seconds.

Herein lies the power of compounding. 
Note the incremental value of the final 1 second of compounding.
It exceeds the value created by the previous 59 seconds.

Wednesday 18 April 2012

The difference in earning 3% a year versus, say, 7% or 9% a year, compounded over a few decades, is no less than life-changing.

The alternative Warren Buffett


Morgan Housel
April 4, 2012
Writing in the Financial Times in 2008, John Kay put Warren Buffett's success into simple perspective:
During Mr. Buffett's tenure at Berkshire Hathaway (NYSE: BRK-A, BRK-B), the S&P 500 index has produced an average total return of 10 per cent.
That return reinvested over 42 years will multiply your stake 67 times. But if your investments yield twice as much as that - as Mr. Buffett's have done - your wealth increases not by twice 67, but 67 squared, a factor of 4,500. That arithmetic makes Mr. Buffett the richest man in the world.
A staggering outcome
I thought about that simple - and startling - calculation while reading a short article written by Buffett himself this week in Forbes. In it, Buffett writes:

“When I got out of college, I had $9,800, but by the end of 1955, I was up to $127,000. I thought, I'll go back to Omaha, take some college classes, and read a lot - I was going to retire! I figured we could live on $12,000 a year, and off my $127,000 asset base, I could easily make that. I told my wife, "Compound interest guarantees I'm going to get rich."
Buffett's net worth today, according to Forbes, is US$44 billion. Some quick numbers, then: Since 1955, his net worth has compounded at a rate of 25.08% a year.

That got me thinking: What if the skinny kid from Omaha with US$127,000 in 1955 didn't spend the next half-century devoted to stock-picking, business-building, and market-beating?
What if Buffett instead did something more traditional with his money, like put it in an index fund, government bonds, gold, or cash? You can imagine a few "alternative" Buffett scenarios. And like Kay's statistic, they show how powerful compound interest can be over time.
Scenario one: US S&P 500 index fund

Including dividends, $127,000 invested in the S&P (or a re-created equivalent) in 1955 would be worth $31.7 million today, which works out to an annual return of 10.17%.

That gives us a good proxy to measure Buffett's market outperformance: Of his $44 billion net worth, about $43.97 billion came from so-called "alpha," or returns in excess of the benchmark. That sentence is worth re-reading.

For more perspective, Bloomberg has a new tool that tracks the daily net worth change of the world's billionaires.

It shows Buffett's net worth changed by $328 million in one day alone last week, or more than 10 times what his entire net worth would be had he invested in the S&P in 1955.

Scenario two: 10-year US Treasury bonds

$127,000 put in 10-year Treasuries in 1955 would be worth $3.9 million today, for an average annual return of 6.2%.

For perspective, if Berkshire paid out half its net income as a dividend, Buffett would earn US$3.9 million every 27 hours, roughly.

Scenario three: Half stocks, half Treasuries

Split the difference between the first two scenarios, and you get a pretty average portfolio. How much would $127,000 split between stocks and Treasuries in 1955 be worth today? $17.8 million, for an annual return of about 9% - and $43.98 billion less than Buffett actually earned.

Scenario four: Gold

$127,000 plunked into gold in 1955 would be worth just over $6 million today, the vast majority of which came in the last few years alone. That's about a day and half of Berkshire's hypothetical dividend, if you're keeping track.

Scenario five: Cash under the mattress

$127,000 in cash in 1955 would be worth... $127,000 today. Let’s put that in perspective. Inflation would whittle the amount down to about $15,000 in today's dollars.

You might think it's unreasonable to assume cash is stuffed under a mattress - or some other way to earn a 0% return - but it's sensationally popular these days. Americans alone now have over $10 trillion in bank deposits – earning very, very low interest rates, up $760 billion in the last year alone.

Lesson learned

Now, these figures are rough estimates at best. It's impossible to know how things like spending and taxes would have actually affected Buffett's "alternative" net worth.

What they should demonstrate, however, is how staggeringly powerful even small differences in returns add up over time.

You should not expect to earn Buffett-like returns over the next 50 years. In fact, you almost certainly won't. But the difference in earning 3% a year versus, say, 7% or 9% a year, compounded over a few decades, is no less than life-changing.

Foolish take-away

When you look at where money is going these days - lots going into bonds yielding close to nothing, and little going into stocks that still offer good returns - you see at least one reason why Buffett is abnormally successful: He understands and appreciates the power of compounding returns better than most.
That simple arithmetic, as Kay might say, made him the richest man in the world.


Read more: http://www.smh.com.au/business/motley-fool/the-alternative-warren-buffett-20120404-1wctq.html#ixzz1sP6lLyPL

Saturday 25 February 2012

Warren Buffett's secret - THE COMPOUNDING FACTOR


EXPLANATION

This may be old hat to some readers but it is worth remembering how compounding is one of the keys to Warren Buffett’s investment success.

The compounding factor is easy to understand. Compound interest (or compounding of earnings) is simply the ability of interest (or investment return) earned on a sum of money to earn additional interest (or investment return), thereby increasing the return to the owner of the money or investor. It works like this and we will use interest as the exemplar:

You deposit a sum of money, say $1,000, in a bank or other financial institution that earns interest at the rate of 5 per cent, payable annually. At the end of the first year, you have earned $50 and have the right to get your $1,000 back.

Suppose however that you want to invest the money long-term, for say 10 years. You now have two options.

OPTION A: TAKE INTEREST PAYMENTS

You can have the interest paid to each year, in which case you will receive $50 each year to spend or use as you wish. At the end of the 10-year period, you will get your final interest payment and your $1,000 back.

OPTION B: RE-INVEST INTEREST

You can choose to re-invest your interest and earn interest each year on the accumulated interest payments as well as on the original investment. This means that you do not get annual payments but, at the end of the 10-year period, you will get a lump sum payment of $1625. This is compound interest.

Why this much larger amount? Because your interest earns interest each year like this (calculations rounded to nearest 50 cents). 

YearPrincipal sumInterest earnedNew principal sum
11000501050
2105052.501102.50
31102.5055.001157.50
41157.50581215.50
51212.50611273.50
61273.50641337.50
71337.50671404.50
81404.50701474.50
91474.50741548.50
101548.50771625

The higher the interest, the bigger the capital gain. At 10 per cent, the sum would increase to $2594.00; at 15 per cent, to $4055.00.

Warren Buffet is said to look at the compounding factor when deciding on investments, requiring a stock investment to show a high probability of compound growth in earnings of at least 10 per cent before making an investment decision.

COMPOUNDING AND RETAINED EARNINGS

Warren Buffett has on several occasions referred to the use by a company of its retained earnings as a test of company management. He tells us that, if a company can earn more money on retained earnings than the shareholder can, the shareholder is better off (taxation aside) if the company retains profits and does not pay them out in dividends. If the shareholder can achieve a higher rate of return than the company, the shareholder would be better off if the company paid out all its profits in dividends (taxation situation again excluded) so that they could use the money themselves.

Put simply, if a company can retain earnings to grow shareholder wealth at better than the market rates available to shareholders, it should do so. If it can’t, it should pay the earnings to shareholders and let them do with them what they wish.

 HIGH RETURNS ON EQUITY

This is why Buffett is interested in companies that have rights rates of earnings on equity and likes them even more where the return rates are increasing. He reasons that, with a company like this, he is better off if the company pays no or little dividends and retains the money to earn even more for its owners.

In addition, where no dividend is received, there is no income tax payable by the shareholder. Instead, the investor gets the value of the increase in value in the shares which will, eventually, rise to reflect the enhanced earnings. The shareholder can then retain the shares, sell them at a time that best suits them, if they wish, and take advantage of the capital gains taxation regime.

BERKSHIRE HATHAWAY AND RETAINED EARNINGS

Berkshire Hathaway does not, following Buffett’s mantra, pay dividends to its shareholders and this is one reason why its compound return over the years of Buffett-Munger management has been so high.

The downside of course is that shareholders have not received dividends, meaning, that if they were dependent on money coming in at a given time, their only recourse, in relation to their shareholding, would be to sell the shares or borrow against them.

Having regard to the huge price of a single share over the past few years, this meant that investors may have had to either keep all their shareholding or dispose of it, not always the choice they wanted. Berkshire Hathaway partly catered for this dilemma by introducing B shares, which are in essence a fractional unit of the normal shares.

A POWERFUL FORCE

When asked to nominate the most powerful force on earth, Albert Einstein is reputed to have answered ‘compound interest’. Buffett might well agree.

What Warren Buffett Looks for in Company Growth


WHAT WARREN BUFFETT LOOKS FOR IN COMPANY GROWTH

An investor likes to see a company grow because, if profits grow, so do returns to the investor. The important thing for the investor, however, is that the company increases the returns to shareholders. A company that grows, at the expense of shareholder returns, is not generally a good investment. As Warren Buffett said in 1977:

‘Since businesses customarily add from year to year to their equity base, we find nothing particularly noteworthy in a management performance combining, say, a 10% increase in equity capital and a 5 % increase in earnings per share.’

COMPOUNDING EFFECT OF GROWTH

Regular growth in earnings per share can have a compound effect if all, or substantially all, of the profits are retained. A company, for example, with earnings per share of 40 cents growing regularly 9 % would, in ten years produce earnings per share of 87 cents.

Of course, if the investor can do better with retained earnings than the company can, his or her interests are better served by a full distribution of profits.

PAST GROWTH AS A PREDICTABILITY FACTOR

Although a consistent record of increases in earnings per share is not of itself an absolute predictor of either further increases, or the rate of any increases,Benjamin Graham believed that it was a factor worthy of consideration.

In addition, it is logical to conclude that a company that has had regular and consistent increases in earnings per share over a protracted period is soundly managed.

WARREN BUFFETT AGAIN ON GROWTH

For Warren Buffett the important thing is not that a company grows (he points to the growth in airline business that has not resulted in any real benefits to stockholders) but that returns grow. In 1992, he said this:

‘Growth benefits investors only when the business in point can invest at incremental returns that are enticing – in other words, only when each dollar used to finance the growth creates over a dollar of long term market value.
In the case of a low-return business requiring incremental funds, growth hurts the investor.’

GROWTH FIGURES FOR ANHEUSER-BUSCH

Take Anheuser-Busch. Ten-year figures to 2002, using the Value Line summaries, show the following:
YearEarnings per shareReturn on equity %Return on capital %
1993.8923.014.9
1994.9723.415.2
1995.9522.214.3
19961.1127.917
19971.1829.215.6
19981.2729.316.5
19991.4735.817.7
20001.6937.618.2
20011.8942.018.8
20022.2063.421.9

GROWTH IN EPS

For Mary Buffett and David Clark, earnings per share growth, and its ability to keep well ahead of inflation, is a key factor in the investment strategies of Warren Buffett. Earnings that are consistently increased are an indication of a quality company, soundly managed, with little or no reliance on commodity type products. This leads to predictability of future earnings and cash flows.

On the other hand, with a company whose earnings fluctuate, future cash flows are less predictable. The reasons may be poor management, poor quality or an over reliance on products that are susceptible to price reductions.
Take an imaginary company with the following earnings per share:

YearEPS
12.00
22.25
32.98
41.47
51.88
6-.65
72.75
82.20
91.98
103.01

The only conclusion that follows from these figures is that this company has good years and bad years. Year 11 might be great, it might be dreadful, or it might be average. The only certainty here is the unpredictability.

Of course, a fall in margins for one or two years may be as a result of once only factors and this can provide buying opportunities.

The difficulty is making the judgment as to whether there is something permanently wrong, or whether the problem has been isolated and resolved.

Thursday 15 December 2011

Upon retiring, Anne Scheiber dedicated her life to investing in the stock market.


Angel in Disguise

After Years of Resentful Frugality, Anne Scheiber Bequeaths $22 Million to Help Women Students

ONLY A HANDFUL OF PEOPLE KNEW Anne Scheiber, and few can recall her smiling. Instead they remember a friendless, pathologically frugal woman who seemed as bitter as Baker's chocolate. Never married and long since estranged from all but two of her nine siblings, she rented the same New York City studio apartment for 50 years and lived surrounded by furniture she had bought in 1944. She wore the same hat and coat nearly every day, regardless of the season. So the news that became public two weeks ago is doubly startling: Not only had Scheiber, who died last January at 101, built a fortune of $22 million, but she willed all of it to needy students at Yeshiva's Stern College for Women in New York City—a school she had never visited. "She got a lot of satisfaction knowing she was leaving this money," says Benjamin Clark, Scheiber's tax lawyer. "She'd say, 'Someday, when I'm long dead, there will be some women who won't have to fend for themselves.' " 

For most of her life, Scheiber was forced to do just that. Born in Brooklyn, she was raised primarily by her mother, Rose, a real estate broker, after her father had died prematurely. Scheiber started night school and went to work as a bookkeeper at 15, later entering Washington's National University (a forerunner of George Washington University) Law School. But rather than practice law after graduating in 1924, she stayed with the more secure auditor's job she had landed four years earlier with the IRS. Despite a stellar performance during the next 19 years, she was never promoted; Scheiber blamed the slight on the fact that she was a woman and a Jew. "The IRS treated her quite shabbily," says Clark. "She was very bitter." 

Upon retiring in 1943, Scheiber decided to get even by getting rich. She returned to New York City and dedicated her life to playing the stock market. "She never tried to outguess the market," says William Fay, Scheiber's broker since the '70s. Her strategy: Invest in blue-chip companies and hold on. By the time she died, her initial $5,000 investment had increased 439,900 percent. 

Clark delivered the gift to a stunned Dr. Norman Lamm, Yeshiva's president, in January. "Ms. Scheiber was a very unhappy woman whose only joy came from accumulating wealth," says Lamm, who will oversee the Anne Scheiber Scholarship and Loan Fund Awards. "Now in one fell swoop, she has managed to gain immortality." 

http://www.people.com/people/archive/article/0,,20102404,00.html

Friday 14 October 2011

The difference between Simple Average Returns and Compound Returns


Below is an illustration of the difference between simple average returns and compound returns, as well as the impact of losses no matter when they occur. Each Manager (A through F) had a different investment approach and therefore, performed differently in each of the three years. The table represents the different returns year-after-year over a three-year period for six separate managers.

Client A
Client B
Client C
Client D
Client E
Client F
Year 1
10.0%
6.0%
16.0%
30.0%
45.0%
55.0%
Year 2
10.0%
10.0%
10.0%
-20.0%
-30.0%
-35.0%
Year 3
10.0%
14.0%
4.0%
20.0%
15.0%
10.0%
Simple Average
10.0%
10.0%
10.0%
10.0%
10.0%
10.0%
Compound Returns
10.00%
9.95%
9.89%
7.66%
5.29%
3.49%
Ending Value of
$1 Million Invested
$1,331,000
$1,329,240
$1,327,040
$1,248,000
$1,167,250
$1,108,250


In each case, the simple return over the three years is 10%, whereas the compounded return (the amount of gain you have realized) fluctuates between a high of 10% and a dismal 3.49%. Despite the larger returns in some years, the investment is more severely impacted by the loss. Interestingly, as the size of the loss increases, a greater percentage gain is required to restore the account back to breakeven. In short, it is important to understand that managers can brag about simple averages but you can only spend compound returns. Our goal is to execute investment strategies that capture the most of bull markets while preserving gains in bear markets to provide superior long-term compound returns.
*While our rule of thumb for investing is "don't lose money", investments have the potential for negative returns over both the short and long term. Our goal, however, is to limit the downside through security selection, asset allocation, diversification, and the use of active risk management, including the use of options and contra-funds.




Compound returns are the most precise and accurate reflection of your portfolio's bottom line and thus, they are of utmost concern for you.

Compound returns are a reference to the
cumulative impact of gains or losses on your portfolio, they are a reflection of your ability in your investing and they are indications of how much money is in your account. Simple returns, on the other hand, are the returns that occur each day, month or year and are only a snapshot look at an investment's performance without regard to its history. 


For example, if a portfolio is down 10% one year and up 10% the next, the simple return on this portfolio is 0% and the manager can report a "break-even" performance over these two years if he refers to his simple returns. However, when it comes to compound returns, which reflect the net effect to your account, the portfolio is actually down 1%. The loss in year one reduced the amount of capital invested for the following year and therefore, a higher performance was needed simply to return the investment to breakeven. It would take an 11% gain to make up for a 10% loss, regardless of the order of the gain/loss.