My Hands-On Tutorial on Calculating Risk Adjusted Return
Erik Salu7 min read·Just now--
When I first started investing, I thought it was all about chasing the highest returns. Now, I know I was missing a key piece of the puzzle. The real question I wish I had asked is: “How much risk am I taking for the returns I’m getting?” This is exactly what risk adjusted return is all about. In the world of stocks, bonds, and funds, understanding and measuring risk isn’t just smart-it’s necessary.
In this tutorial, I want to share what I’ve learned about risk adjusted return. I’ll explain what it means, why I care about it, and how I actually calculate it using the most practical methods out there. I keep things clear and simple because, honestly, I don’t have a PhD either.
What is Risk Adjusted Return?
To me, risk adjusted return is about matching my profits with the risk I took to get them. It doesn’t mean much to say a fund returned 12 percent last year. Did I have to ride out big scary drops along the way? Or was it smooth? Risk adjusted numbers let me compare investments fairly by looking at volatility and downsides.
Why Does Risk Matter?
Let me give an example from my own experience. I once owned two investments:
- Both made a 10 percent return over the year.
- One barely moved. The other felt like a rollercoaster up one month and down the next.
If I’m honest, I would always pick the steadier path. It is way less stressful, and I’m much less likely to panic and sell at a bad time. That’s why risk matters to me just as much as return.
The Most Popular Risk Adjusted Return Calculations
I’ve used all sorts of tools, but these are the ones I come back to again and again. Each one gives me a real, useful perspective on performance.
The Sharpe Ratio
The Sharpe Ratio is the classic way I started measuring risk adjusted return. William Sharpe created it and everyone in the industry uses it.
How do I calculate it? Sharpe Ratio = (Portfolio Return — Risk-Free Rate) / Standard Deviation of Returns
- Portfolio Return: This is just the average return my investment made.
- Risk-Free Rate: I usually use the yield on US Treasuries (or whatever is safest in my country) since I can earn this with zero risk.
- Standard Deviation: This tells me how much my returns jump around.
Why is this important? A higher Sharpe Ratio means I’m earning more for every bit of risk I take. If the Sharpe Ratio is above 1, that is already impressive. When it goes over 1.5, that is rare and exceptional.
Example: Suppose a fund gives me 13 percent each year. The risk-free rate is 1 percent. Standard deviation is 12 percent. Sharpe Ratio = (13 percent — 1 percent) / 12 percent = 1
That tells me this fund is a steady performer. I’ve seen professionals show off a Sharpe Ratio over 1.5, and I know that is tough to keep year after year.
The Sortino Ratio
I use the Sortino Ratio when I care more about the downside. Most investors, including me, hate losses much more than we love gains.
How do I calculate it? Sortino Ratio = (Portfolio Return — Risk-Free Rate) / Downside Deviation
- Downside Deviation: This only looks at the variation below a level I can tolerate (usually zero or the risk-free rate).
- This measure helps me focus on “bad” volatility.
Example: Let’s say:
- Average return: 12 percent
- Downside deviation: 5 percent
- Risk-free rate: 2 percent
Sortino Ratio = (12 percent — 2 percent) / 5 percent = 2
A Sortino Ratio above 2 tells me the fund does a great job of avoiding big losses. I always pay attention to that.
Jensen’s Alpha (Jensen Ratio)
To me, Alpha is the “secret sauce.” It measures if my fund manager beat what was expected once I take market risks into account.
How do I calculate it? Jensen’s Alpha = Portfolio Return — [Risk-Free Rate + Beta × (Market Return — Risk-Free Rate)]
- Beta: This tells me how much my investment moves up or down with the market.
- Market Return: This is the average return from the main benchmark index.
Example: Suppose the fund returns 16 percent. The market returned 10 percent. Beta is 1.4. Risk-free rate is 2 percent.
Jensen’s Alpha = 16 percent — [2 percent + 1.4×(10 percent-2 percent)] = 16 percent — [2 percent + 1.4×8 percent] = 16 percent — [2 percent + 11.2 percent] = 16 percent — 13.2 percent = 2.8 percent
A positive alpha shows me the manager added value beyond what the market alone would give.
The Treynor Ratio
The Treynor Ratio is special. Instead of looking at all volatility, it only focuses on market risk-measured by Beta.
How do I calculate it? Treynor Ratio = (Portfolio Return — Risk-Free Rate) / Beta
A higher Treynor Ratio means I am getting more return for each unit of market risk I take.
Example: Let’s say Fund A and Fund B both return 12 percent.
- Fund A has a Beta of 2.
- Fund B has a Beta of 1.
Risk-free rate is 2 percent.
Fund A Treynor: (12 percent — 2 percent) / 2 = 5 percent Fund B Treynor: (12 percent — 2 percent) / 1 = 10 percent
The return is the same, but Fund B is clearly more efficient for the risk it takes on.
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RAROC: Risk-Adjusted Return on Capital
RAROC is the favorite of banks. I used to work in finance, and this was one of the first ratios I looked at when considering new loans or projects.
How do I calculate it? RAROC = Net Income / Economic Capital Sometimes I subtract the risk-free rate to show the extra return I am getting.
Example: A loan earns $22,000 in net income. The economic capital at risk is $100,000.
RAROC = $22,000 / $100,000 = 22 percent
If shareholders expect 15 percent, a 22 percent RAROC shows me this deal is creating a good cushion of value.
Simple Time-Adjusted Return
As a short-term trader, I sometimes use a quick hack. I take my annual return and divide by the percentage of time invested. Example:
- Annual return: 10 percent
- Time in the market: 50 percent
Risk adjusted return = 10 percent / 0.5 = 20 percent
If I can get the same return in half the time, my risk drops a lot. I always try to keep my exposure lower when possible.
The Ulcer Performance Index
This metric is a bit less well known, but I have found it useful when I want to focus purely on how much stress a strategy causes. The Ulcer Index only cares about the size and length of losses. It does not pay attention to big upswings. This is handy when I want to avoid periods of deep losses.
Real World Examples: How Risk Adjusted Return Changes My View
I’ve often compared real funds and the results can be surprising.
- Fund X: Returns 38 percent a year, but crashes up and down with sharp losses.
- Fund Y: Returns 14 percent, but is calm with only mild losses.
If I just look at returns, X looks way better. But when I run the Sharpe, Sortino, or Ulcer Index, Fund Y usually comes out on top. I am far less likely to panic and sell Fund Y during a bad year. I have learned that being able to stick to a plan is worth more than exciting headlines.
My Practical Advice for Using Risk Adjusted Returns
- Don’t just chase high returns. Make sure you check how much risk you’re actually taking.
- Look for steady performance. If you see a high risk adjusted ratio, it often means the strategy is repeatable.
- Use more than one metric. I always look at the Sharpe ratio, but I add Sortino, Alpha, and sometimes the Ulcer Index for a full picture.
- Know your own limits. Numbers help, but only I can say how much loss I am willing to bear before losing sleep.
- Check your investments regularly. Markets change all the time. So does risk.
FAQ: My Most Common Questions about Risk Adjusted Return
What is a “good” Sharpe Ratio?
If I see a Sharpe Ratio above 1, I get interested. Over 1.5 is exceptional in most cases. But context always matters. A “great” ratio for one asset class may only be decent for another.
Why is standard deviation important here?
Standard deviation tells me how much my returns bounce around. When it’s high, my money is less predictable and that can make me nervous. A higher risk adjusted metric means I get rewarded more for each unit of that unpredictability.
What if my fund shows a negative risk adjusted return?
A negative Sharpe, Sortino, or similar ratio lets me know my fund did worse than just sitting in safe government bonds. That is always a wake-up call for me. I know to look for new strategies that can give me a better outcome for similar or lower risk.
Is a higher absolute return always the winner?
No, and I’ve learned this the hard way. High returns often come with scary losses and wild swings. If I can’t stomach the ride or if I lose too much money in a downturn, that big return means almost nothing. I have come to value steady, repeatable results much more.
Mastering risk adjusted return has become my favorite tool for my investment journey. It keeps me focused on not just the finish line, but on the safest, surest road. By using these methods, I feel more confident and have built a portfolio that is ready for anything the market throws at me.
