Assessing Investment Returns

In our first look at investment returns, we reviewed a few common return calculations.

If you know the formulas, the calculations are quite simple. But the key is to understand what is included and excluded between the different returns. That allows for apples to apples comparison when analyzing returns.

But even in standardizing quantified calculations, investment returns can mean different things to different investors.

Today we will consider some of the qualitative aspects in evaluating investment returns.

Return, like risk, is in the eye of the beholder. Never be seduced simply by the quantitative side of investment returns. Always look at results from other angles as well.

I think this is just as important as the hard numbers. Unfortunately, it is an area many investors ignore to varying degrees.

Do so at your own peril.

Expected Rate of Return

Before we get into today’s session, I quickly want to review a topic we have previously discussed.

Expected return is the anticipated asset performance for the future period under consideration.

There are a variety of ways to calculate expected returns and most incorporate multiple variables.

Historic returns, probability and scenario analysis, company specific expectations, general market and industry specific expectations, risks, risk-free returns, etc. There are many factors that go into determining an asset’s expected return.

Because these returns are expected, there is a probability that the actual results will differ.

This is where our earlier discussions of standard deviations come into play. The larger the standard deviation (i.e. the greater the volatility of the asset), the less likely that the actual return will equal the expected return.

As the level of risk lessens, the certainty of the result rises. It is only in investments that have no risk that the expected return will always match the actual nominal return.

In our analysis below, we shall use this simple example.

You invest $1000 in an asset on January 1. You sell the asset December 31 for $1250. There were no cash flows so your total return (also, in this example, your holding period and annual returns) is $250 or 25%.

Nominal Rate of Return

While expected returns are forward looking, nominal returns reflect what actually occurred.

This is the most common way to express a return.

The nominal return is the investment return unadjusted for any other factors. In our example, the nominal return is 25%.

25% return in one year sounds great! Does it to you? Sure it does.

Let’s not be so hasty. There are a few more paragraphs on the page to read.

Nominal return is a good number to know. But on its own, there is no context.

We always need context. Well, at least those who want to properly invest do.

How do we put nominal returns in context? You need to use comparative data.

Real Rate of Return

The real rate of return adjusts the nominal return to eliminate any impact from inflation.

We discussed the affect of inflation previously.

Let’s say that your investment above was made in the United States where the annual inflation rate is running at 3%. Your real rate of return therefore is only 22% (25% nominal minus 3% inflation).

Not too significant an impact. An American attaining that return is likely smiling.

However, perhaps you live in Argentina where inflation is about 27% annually. Your real return becomes a loss of 2%. Even though you made a 25% profit (on which you will be taxed, so your net will be much less), you have actually lost 2% in purchasing power over the year.

For an Argentine, is 25% nominal return good? Not when actual purchasing power erodes that return to nothing.

Or we could consider Venezuela where inflation hit 800% and experts are predicting 1600% in mid 2017. Suddenly, a mere 25% gain will not even help you buy toilet paper (assuming you can even find any in Venezuela currently).

A Venezuelan achieving a 25% return will not be happy at all.

You need always consider the impact of inflation on your returns. Its impact on your real returns can be substantial. And depending on the inflation rate, may make a potentially nice nominal return much less attractive.

Risk-Free Rate of Return

The risk-free rate of return is the return on an investment that carries no risk.

That is, the outcome or return is known with 100% certainty. If the expected return is 10% or $100, you are fully guaranteed the result.

While it is debatable as to whether any investment can be termed risk-free, for investment purposes certain government short term debt issues are considered to be certain. In the United States, the 13 week US Treasury Bill (T-bill) is considered to be a risk-free investment at this time. Similar applies in Canada.

Why is knowing the risk-free rate of return important?

It is believed that investors are rational creatures. That means that all else equal, investors will choose the more efficient investment option when faced with two choices.

Efficiency, in this case, refers to the relationship between risk and return. When having a choice between two investments of identical risk, investors will always select the asset with the higher expected return. Alternatively, when choosing between two investments with identical expected returns, investors will choose the asset with the lesser risk.

While not always followed in practice, it should make sense.

For example, say 13 week US T-bills offer an effective, annual return of 10%. In essence, the risk-free rate is also 10%. That means you could invest in T-bills and be guaranteed a nominal annual return of exactly 10%.

Since all other investments have a higher level of risk, rational investors will never accept less than a 10% expected return for a risky investment.

The greater the risk, the higher the return demanded by the investor.

US government bonds are less risky than most corporate bonds. Therefore, if you look up yields on different bonds, you will see higher yields on corporate versus US government bonds with the same characteristics.

Similarly, riskier companies must pay higher interest rates than more secure companies.

This is the same as personal loans from your bank. If you are a valued client with lots of assets, you might get a loan at the prime interest rate. But if you have no track record of repayment or have had difficulties making debt payments in the past, you will need to pay higher rates than prime.

Use the risk-free rate of return as a minimum benchmark when considering investment options.

If the risk-free rate is 10% and you are contemplating an investment with an expected return of 6% and a standard deviation of 4%, you would never invest in the riskier asset as it offers less expected return.

But what about an asset with a 15% return and standard deviation of 10%? You might give pause. Yes, the potential return is higher than US T-bills, but the risk is significantly higher. In fact, 95% of the time, your actual return will be anywhere between 35% (good) and -5% (not so good).

Whether you think this is a better investment than the T-bills is based on your own risk tolerance. Risk tolerant investors may be enticed with the potential for up to 35% returns. Substantially more than the 10% guaranteed T-bill return. The risk averse may not want to chance losing up to 5%. For them, T-bills are a much preferable and safer investment.

There is no correct answer here. A lot is based on your risk tolerance, investment objectives, and personal constraints.

But by knowing the risk-free rate, you have additional information to make better decisions.

I will say though that I have no idea if an investment with an expected return of 15% and a standard deviation of 10% is good or bad. Like nominal returns, maybe it is or maybe it is not. I need more comparative data.

Relative Rate of Return

With the real and risk-free rates of return we considered investment options relative to inflation rates and guaranteed returns respectively. Those should be baseline benchmarks when assessing potential investments.

But you should also compare your investment returns to other benchmarks. These include: prior year results; analyst or company expectations; the market as a whole; the industry in which the asset lies; predetermined benchmarks.

In our example, the nominal return was 25%. A good return for an American with 3% inflation and a 10% risk-free return. But only relative to those two specific benchmarks.

In reality, I have no idea if it is good or bad return. I need more information.

Perhaps the investment in our example was Fantasy Bank shares.

I would be interested in how the shares performed over the previous years. If the 5 year average return was 40%, maybe 25% this year is relatively weak. Had you bought expecting a 40% return based on historic performance, you will not be happy with a mere 25% actual return.

What if I told you the general stock market grew 12% over the year and that the average banking industry shares rose 30%. You would be happy that your stock outperformed the general market return, but unhappy that you underperformed other banking stocks. On a relative basis, you would have been much wiser investing in a different bank.

In examining potential assets, you consider expected returns. For many investments, analysts and industry experts have expectations for the coming year. If analysts predicted that Fantasy would grow by 50%, you would be disappointed with 25%. Especially if you based your investment on a risk-return profile incorporating the 50% expected return.

You can set up a variety of other benchmarks to compare performance. But you should always compare your actual and expected returns relative to predetermined criteria.

That gives you a few thoughts as to why you should never consider investment returns in isolation.

Always compare your actual and expected returns agains relevant benchmarks.

Your decision-making and portfolio performance will benefit.

Next in our investment series, some further evidence that all returns are not the same.

Common Investment Returns

Today we begin exploring the concept of investment returns. A relatively straightforward concept.

The return is the gain or loss you experience on an investment. Pretty easy compared to our risk analysis.

Or is it?

While the above definition applies, investment returns are slightly more complex.

There are a variety of return calculations. The importance of each depends on the individual investor’s personality and circumstances. We will look at three common return calculations today.

Total Return

Total Return equals:

(Sale Proceeds – Purchase Price + Net Cash Flows + Reinvestment Income)/Purchase Price

Sale proceeds and purchase price are self-explanatory.

Net cash flows include interest and dividend income. It may include interest expense on any debt used to finance the investment. And taxes payable on any gains or income incurred.

Transaction costs are sometimes factored into net cash flows. I prefer to add them to the purchase price and deduct them from the sale proceeds. Alternatively, you can track them separately as investment expenses should you so desire.

Reinvestment Income

Reinvestment income is the income you earn on income received. Incremental income earned on reinvested income is a key to compound returns.

For example, you purchase one share of ABC for $10. You receive a dividend of $1.00. You put that cash dividend receipt into your personal savings account and earn $0.10 in interest. You then sell the share for $12.

Total Return is the capital gain (sale proceeds minus purchase price), the dividend income (net cash flow), and the interest income earned from the cash dividend (reinvestment income). In this example, it is $3.10 or 31%.

When calculating, investors often forget to factor in the reinvestment income.

Contextualize Total Returns

31% sounds like an excellent return on ABC. But is it?

Total Return relates to the return over the entire period of time you owned the asset. One day, one year, one century.

Perhaps you bought and sold the stock in one week. Then the return might be impressive (or maybe not as we shall discuss later). But what if you bought the stock in 1970 and sold it in 2010? On an annual basis, 31% over 40 years may not be that attractive.

Or what if I offered you two investments. One provides a Total Return of 100%. The other, 10%. You would obviously be tempted by the first. However, if the holding period for option one is five years and only five weeks for option two, your decision might change.

That is a big problem when people speak of Total Returns. Without any context of time, it is hard to assess the relevance of total return as a performance measurement.

So when someone talks to you about returns, make sure you put it in a time context.

Annual Return

Annual return calculations are very common to equalize and compare performance.

A simple way to calculate Annual Return is to modify the Total Return calculation,

Annual Return equals:

(End Year Value – Start Year Value + Year’s Net Cash Flow + Year’s Reinvestment Income)/Start Year Value

This formula acts as if you bought the investment at the start of the fiscal year and sold it at year’s end.

In using this formula, you can quickly compare performance of different investments over the same time horizon.

Holding Period Return

You may also come across something called a Holding Period Return.

Holding Period Return equals:

(Ending Value/Beginning Value) – 1.

This is like the Total Return except it does not include net cash flows nor reinvested income.

If you invest in assets with significant cash flow aspects (e.g. bonds, preferred shares), you will be missing out on a material portion of actual return by ignoring cash flow and reinvested income.

But if you invest in common shares of small capitalized (“small cap”) growth stocks you likely will not receive any dividend income. In this case, Holding Period Return will equal Total Return.

You can calculate Holding Period Return for any combination of time periods. Just determine a beginning and end date and you are set.

A Lesson to Remember

There are other returns that you will see. We may consider a few more in due course.

If you learn the equations, or have a decent financial calculator, calculating investment returns is not difficult.

But always remember to compare apples to apples and oranges to oranges when calculating and analyzing returns.

Depending on the asset and conditions, different return calculations can yield materially different results.

Make certain that you use the correct ones to arrive at the best conclusions.

And if someone tells you the expected or historic returns are 15% (for example), make sure you know exactly which type of return they are using. This can be an issue with funds. Make sure the performance is net of expenses and fees and not gross returns.

With a variety of return options, you will usually be informed of the one that is most favourable to the person telling you. And that may not be in your best interest.