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Sandy Warrick, CFA  Risk and Return for Private Investors
What do Private Clients Care About? Needs Goals Aspirations
Private Investors have Needs Needs are what they “must” accomplish with their investments if their investments perform poorly. Investors should be able to achieve their goals with 95% to 99% probability. Many investors’ portfolios  fell so much  from late 2007 to early 2009 that their needs might not be met! Some needs can become goals when things don’t go well!
Private Investors have Goals Goals are what a family wants to accomplish if their investments perform as well as they expect. Investors should be able to achieve their goals with 50% to 70% probability.
Private Investors have Aspirations Aspirations are what they hope to accomplish with their investments if their investments perform  very well . “ Human capital” (work) or entrepreneurial achievement (luck) is generally how aspirations are achieved. Investors probably hope to achieve their aspirations with 10%-20% probability or less.
How Do Planners Design Portfolios for Clients? They might use buckets for needs, goals & aspirations: Needs: CD’s, investment grade bonds and annuities can be matched to client needs. Goals: A stock portfolio whose return will “probably” be enough to accomplish the goals.  Employer stock options or starting your own company are usually the only way to achieve aspirations.
Is There a Better Way than Buckets? I think there is: Liability Driven Investment Your liabilities are your needs! This is like what pension plans do:  They design their portfolios to match the payments they will need to make to retirees. Pensions have the advantage of having a very large risk pool – private investors don’t. How do we match your portfolio to your needs?
Warning: There is Math! I apologize, but there is no way around it: We must do some math in order to help design “suitable” and “optimal” portfolios. This math was developed by Jarrod Wilcox, CFA who has a Ph.D. in finance from MIT. One of his many insights: The key relation is the leverage ratio. What is the leverage ratio?
Here is the Math: L :  leverage.  :   the annualized volatility S : skewness of returns  K : kurtosis of returns
Leverage = Assets / (Assets – Liabilities)
What is   ? We use    to represent the portfolio’s risk.    is the Greek ‘s’  Investment professionals generally use  volatility  as the primary measure of risk. A high risk portfolio decreases the probability of  being able to meet “basic needs.” A high risk portfolio increases the amount of “basic needs” that can’t be met. A portfolio’s past risk is a reasonable estimate of future risk.
What is Skew? Skew is what happens when very low probability events are actually more probable than the “bell-curve” predicts. Positive Skew: Think of a lottery ticket. If you win, the payoff is very large and the probability, no matter how low, is higher than the “bell-curve.” Negative Skew: Financial markets usually have negative skew: large movements are usually negative. Negative Skew is  BAD .
What is Kurtosis? Excess Kurtosis is what happens when large events, both positive and negative, are more common than the “bell-curve.” The “bell-curve” (also known as the Gaussian or Normal distribution) has a kurtosis of 3. Historic returns have kurtosis of between 4 and 6. Kurtosis above 3 is  BAD .
Market Risk Premium: Consumption Models Economists have attempted to estimate what the market risk premium  should be  using  consumption based  models. Their conclusion is that the historic risk premium is higher than it should be, That’s a “puzzle” The 2007-2008 might have solved the puzzle – risk is higher and returns are lower when we include these years!
Equity Risk Premium: Consumption Models Economists sometimes call this the equity risk premium and it’s the same thing. Regardless of what you call it, it’s still a “puzzle”
The Relation between Return and Risk Another name for the equity risk premium is “the market price of risk.”
Historic Excess Returns vs. Risk Cash, Bond, Stock 1970 to 2009
Risk and Return The previous slide shows that for a historic portfolio holding stocks, bonds and cash, return increased with risk. The developers of the Capital Asset Pricing Model was awarded the Nobel Prize in Economics. If you can borrow at the “risk-free rate” (you can’t, but some people can), then the relation between risk and return is a straight line.
A Bit More Math: Excess Return: Return higher than the risk free rate. Slope: Increased in return for an increase in risk L :  leverage.  :   the annualized volatility S : skewness of returns.  K : kurtosis of returns
Capital Market Assumptions Risk Free Return = 4% Return / Risk Slope =  ¼   Skew = -1.0 Kurtosis = 5
Aggressive Investor: Leverage = 1 If your leverage is equal to 1, then you don’t have any financial needs and all your wealth is discretionary. By any definition you are a rich person. Freedom’s just another word for nothing left to lose? Our system would classify you as aggressive. An aggressive investor would have a very high risk tolerance and is willing to take on considerable risk in search of extra return.
Moderate Investor: Leverage = 2 If your leverage is equal to 2, then your financial needs (liabilities) and your discretionary wealth are equal! You plan to spend half your principal and income from your savings and leave the same amount in your estate. Our system would classify you as moderate. Moderate investors are typical HNW prospects and are usually the “best” clients for an asset manager concentrating on this market.
Conservative Investor: Leverage = 3 If your leverage is equal to 3, then your financial needs (liabilities) is twice your discretionary wealth! You plan to spend all of your dividends and income and  2/3 rd  of the principal, leaving 1/3 rd  in your estate. Our system would classify you as conservative. There are HNW prospects and clients that are conservative, but generally this characteristic better fits the “mass affluent.” These are bad HNW clients because they want good results but they get upset in down markets.
Risk Adjusted Return vs. Risk
How Do We Classify Investors? One way to do this is to figure out how much the investor’s family will need over the rest of their life. This is very hard to do even if we knew how long and how healthy they would be. It’s even harder since lifespan and health can’t be predicted with any accuracy. Even more important: different families with the same “liabilities” have different comfort with risk.
We Can Use an Expert System with a Questionnaire In this questionnaire, asset classes are ranked for suitability for every response to every question in the questionnaire. These question measure both your  ability  and your  willingness  to assume risk. In this exercise, we assume that your  ability  is more that  twice  as important as your  willingness .
Suitability
Model Portfolio   Conservative Moderate Aggressive Cash 15.9% 1.2% 0.2% Bonds 58.1% 42.0% 8.3% Stock 25.4% 56.4% 84.1% Alternatives 0.7% 0.4% 7.4% Risk: 5.7% 9.7% 14.0% Return: 5.4% 6.2% 7.0%
Asset Allocation vs. Risk Tolerance
Risk vs. Return for Model Portfolios

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Risk and Return

  • 1. Sandy Warrick, CFA Risk and Return for Private Investors
  • 2. What do Private Clients Care About? Needs Goals Aspirations
  • 3. Private Investors have Needs Needs are what they “must” accomplish with their investments if their investments perform poorly. Investors should be able to achieve their goals with 95% to 99% probability. Many investors’ portfolios fell so much from late 2007 to early 2009 that their needs might not be met! Some needs can become goals when things don’t go well!
  • 4. Private Investors have Goals Goals are what a family wants to accomplish if their investments perform as well as they expect. Investors should be able to achieve their goals with 50% to 70% probability.
  • 5. Private Investors have Aspirations Aspirations are what they hope to accomplish with their investments if their investments perform very well . “ Human capital” (work) or entrepreneurial achievement (luck) is generally how aspirations are achieved. Investors probably hope to achieve their aspirations with 10%-20% probability or less.
  • 6. How Do Planners Design Portfolios for Clients? They might use buckets for needs, goals & aspirations: Needs: CD’s, investment grade bonds and annuities can be matched to client needs. Goals: A stock portfolio whose return will “probably” be enough to accomplish the goals. Employer stock options or starting your own company are usually the only way to achieve aspirations.
  • 7. Is There a Better Way than Buckets? I think there is: Liability Driven Investment Your liabilities are your needs! This is like what pension plans do: They design their portfolios to match the payments they will need to make to retirees. Pensions have the advantage of having a very large risk pool – private investors don’t. How do we match your portfolio to your needs?
  • 8. Warning: There is Math! I apologize, but there is no way around it: We must do some math in order to help design “suitable” and “optimal” portfolios. This math was developed by Jarrod Wilcox, CFA who has a Ph.D. in finance from MIT. One of his many insights: The key relation is the leverage ratio. What is the leverage ratio?
  • 9. Here is the Math: L : leverage.  : the annualized volatility S : skewness of returns K : kurtosis of returns
  • 10. Leverage = Assets / (Assets – Liabilities)
  • 11. What is  ? We use  to represent the portfolio’s risk.  is the Greek ‘s’ Investment professionals generally use volatility as the primary measure of risk. A high risk portfolio decreases the probability of being able to meet “basic needs.” A high risk portfolio increases the amount of “basic needs” that can’t be met. A portfolio’s past risk is a reasonable estimate of future risk.
  • 12. What is Skew? Skew is what happens when very low probability events are actually more probable than the “bell-curve” predicts. Positive Skew: Think of a lottery ticket. If you win, the payoff is very large and the probability, no matter how low, is higher than the “bell-curve.” Negative Skew: Financial markets usually have negative skew: large movements are usually negative. Negative Skew is BAD .
  • 13. What is Kurtosis? Excess Kurtosis is what happens when large events, both positive and negative, are more common than the “bell-curve.” The “bell-curve” (also known as the Gaussian or Normal distribution) has a kurtosis of 3. Historic returns have kurtosis of between 4 and 6. Kurtosis above 3 is BAD .
  • 14. Market Risk Premium: Consumption Models Economists have attempted to estimate what the market risk premium should be using consumption based models. Their conclusion is that the historic risk premium is higher than it should be, That’s a “puzzle” The 2007-2008 might have solved the puzzle – risk is higher and returns are lower when we include these years!
  • 15. Equity Risk Premium: Consumption Models Economists sometimes call this the equity risk premium and it’s the same thing. Regardless of what you call it, it’s still a “puzzle”
  • 16. The Relation between Return and Risk Another name for the equity risk premium is “the market price of risk.”
  • 17. Historic Excess Returns vs. Risk Cash, Bond, Stock 1970 to 2009
  • 18. Risk and Return The previous slide shows that for a historic portfolio holding stocks, bonds and cash, return increased with risk. The developers of the Capital Asset Pricing Model was awarded the Nobel Prize in Economics. If you can borrow at the “risk-free rate” (you can’t, but some people can), then the relation between risk and return is a straight line.
  • 19. A Bit More Math: Excess Return: Return higher than the risk free rate. Slope: Increased in return for an increase in risk L : leverage.  : the annualized volatility S : skewness of returns. K : kurtosis of returns
  • 20. Capital Market Assumptions Risk Free Return = 4% Return / Risk Slope = ¼ Skew = -1.0 Kurtosis = 5
  • 21. Aggressive Investor: Leverage = 1 If your leverage is equal to 1, then you don’t have any financial needs and all your wealth is discretionary. By any definition you are a rich person. Freedom’s just another word for nothing left to lose? Our system would classify you as aggressive. An aggressive investor would have a very high risk tolerance and is willing to take on considerable risk in search of extra return.
  • 22. Moderate Investor: Leverage = 2 If your leverage is equal to 2, then your financial needs (liabilities) and your discretionary wealth are equal! You plan to spend half your principal and income from your savings and leave the same amount in your estate. Our system would classify you as moderate. Moderate investors are typical HNW prospects and are usually the “best” clients for an asset manager concentrating on this market.
  • 23. Conservative Investor: Leverage = 3 If your leverage is equal to 3, then your financial needs (liabilities) is twice your discretionary wealth! You plan to spend all of your dividends and income and 2/3 rd of the principal, leaving 1/3 rd in your estate. Our system would classify you as conservative. There are HNW prospects and clients that are conservative, but generally this characteristic better fits the “mass affluent.” These are bad HNW clients because they want good results but they get upset in down markets.
  • 25. How Do We Classify Investors? One way to do this is to figure out how much the investor’s family will need over the rest of their life. This is very hard to do even if we knew how long and how healthy they would be. It’s even harder since lifespan and health can’t be predicted with any accuracy. Even more important: different families with the same “liabilities” have different comfort with risk.
  • 26. We Can Use an Expert System with a Questionnaire In this questionnaire, asset classes are ranked for suitability for every response to every question in the questionnaire. These question measure both your ability and your willingness to assume risk. In this exercise, we assume that your ability is more that twice as important as your willingness .
  • 28. Model Portfolio   Conservative Moderate Aggressive Cash 15.9% 1.2% 0.2% Bonds 58.1% 42.0% 8.3% Stock 25.4% 56.4% 84.1% Alternatives 0.7% 0.4% 7.4% Risk: 5.7% 9.7% 14.0% Return: 5.4% 6.2% 7.0%
  • 29. Asset Allocation vs. Risk Tolerance
  • 30. Risk vs. Return for Model Portfolios