14.4: Strategies
- Page ID
- 134225
\( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \)
\( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)
\( \newcommand{\dsum}{\displaystyle\sum\limits} \)
\( \newcommand{\dint}{\displaystyle\int\limits} \)
\( \newcommand{\dlim}{\displaystyle\lim\limits} \)
\( \newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\)
( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\)
\( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\)
\( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\)
\( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\)
\( \newcommand{\Span}{\mathrm{span}}\)
\( \newcommand{\id}{\mathrm{id}}\)
\( \newcommand{\Span}{\mathrm{span}}\)
\( \newcommand{\kernel}{\mathrm{null}\,}\)
\( \newcommand{\range}{\mathrm{range}\,}\)
\( \newcommand{\RealPart}{\mathrm{Re}}\)
\( \newcommand{\ImaginaryPart}{\mathrm{Im}}\)
\( \newcommand{\Argument}{\mathrm{Arg}}\)
\( \newcommand{\norm}[1]{\| #1 \|}\)
\( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\)
\( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\AA}{\unicode[.8,0]{x212B}}\)
\( \newcommand{\vectorA}[1]{\vec{#1}} % arrow\)
\( \newcommand{\vectorAt}[1]{\vec{\text{#1}}} % arrow\)
\( \newcommand{\vectorB}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \)
\( \newcommand{\vectorC}[1]{\textbf{#1}} \)
\( \newcommand{\vectorD}[1]{\overrightarrow{#1}} \)
\( \newcommand{\vectorDt}[1]{\overrightarrow{\text{#1}}} \)
\( \newcommand{\vectE}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash{\mathbf {#1}}}} \)
\( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \)
\( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)
\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)- Identify core principles of portfolio strategy, including diversification and asset allocation.
- Analyze how time horizon, risk tolerance, and personal goals shape strategic decisions.
- Apply strategic frameworks to evaluate sample investor profiles.
Strategies - Navigating Risk, Return, and the Investor Mindset
Alex and Jordan need to consider the question that every investor eventually faces:
“How do I know what kind of investment is right for me?”
It’s a deceptively simple question, because behind it lie all the complexities of personal goals, emotional responses to risk, and the reality of time.
This section explores what it means to invest intentionally. We’ll walk through the core components of investment strategy - risk, return, time horizon, and diversification - and emphasize discovery and application. The goal isn’t to give you a script. It’s to help you develop a playbook.
Risk and Return - Two Sides of the Same Coin
Imagine two companies, A and B. Both want to borrow your money by selling bonds. Both offer a 5 percent coupon rate. But Company A is a highly rated, blue-chip corporation with a long history of profitability. Company B is a newer firm, with inconsistent earnings and a few rough years behind it.
Which would you choose?
If the return is the same, almost everyone would pick Company A. But here’s the rub: Investors won’t buy Company B’s bond unless they’re compensated for the extra risk. So Company B increases its coupon rate to 7 percent. Now it has your attention.
This is the risk-return tradeoff. Riskier investments must offer the potential for higher returns. The opposite is also true: The safer an investment is, the more modest the return you should expect. These forces play out across every instrument you’ll encounter.
Understanding this principle helps explain why some investors embrace volatility, while others seek stability. Neither choice is inherently wrong, but your comfort with risk will help shape the mix of assets in your portfolio.
Gauging Risk Tolerance
Your risk tolerance isn’t just about emotion. It is about facts and the situation. Consider these reflective questions:
- How would you feel if your portfolio dropped 20 percent in a month?
- Do you need access to your money in the next year or in 20 years?
- Would a guaranteed but low return feel better than a chance at something higher?
Your answers will shape your approach. If volatility makes you anxious, you may prefer conservative, income-oriented investments. If you’re still in the early stages of your career and willing to ride the ups and downs, you might be drawn to growth-oriented stocks or equity-heavy funds.
This leads us to another essential piece of strategy: Time.
Life Stage and Diversification - Matching the Strategy to the Season
Time isn't just a number; it’s an asset. The earlier you start investing, the more flexibility and recovery room you have. That’s why younger investors often lean toward aggressive growth. If a risky investment underperforms, younger investors have time to rebound.
Later in life, the calculus changes. Imagine approaching retirement and experiencing a market downturn. There’s less time to recover, and less margin for error. That’s why many investors shift to more conservative portfolios over time, favoring bonds, dividend stocks, or balanced funds.
Sample Life-Stage Trajectory
Early Career (20s-30s)
Heavy equity allocation, high growth focus
Mid Career (40s-50s)
Blend of growth and income; introduction of bonds
Pre-Retirement (60s)
Increased emphasis on income and capital preservation
Post-Retirement
Conservative mix; goal = reliable income + low volatility
This evolution isn’t rigid, but it is rooted in risk tolerance and needs. Life doesn’t move in perfect decades, and neither will your portfolio. However, understanding these shifts can help you respond with confidence instead of confusion.
Diversification: Spreading Risk
Diversification isn’t just a cliché. It’s a tool to manage risk and smooth returns. Think of it this way:
- If you only own one stock, and that company falters, your portfolio takes a direct hit.
- If you hold ten companies across different industries, one dip won’t derail your progress.
But not all diversification is equal. Holding both Coca-Cola® and Pepsi® stock isn’t diversification. It is redundancy. Both companies belong to the same industry and may respond similarly to market trends.
True diversification goes deeper. It includes an understanding of correlation - how different assets move relative to each other:
- If two investments are positively correlated, they tend to rise and fall together.
- If they are negatively correlated, one may rise when the other falls.
- If they are uncorrelated, they behave independently.
The goal isn’t to bet against your own holdings; the goal is to build a portfolio where different elements react differently to market conditions. Like a building supported by multiple pillars, your foundation is stronger when those supports don’t all shift in the same direction at once.
Diversification is the intentional spreading of risk. Relying on a single asset, investment, or strategy makes outcomes more fragile. A resilient plan anticipates volatility. Smart diversification also reflects your research and expectations. If you anticipate rising interest rates, you might reduce bond exposure and increase sectors that tend to benefit. You’re not trying to outguess every move; you're constructing a portfolio that stays upright no matter which way the wind blows.
True diversification spreads across multiple spaces:
Asset classes
Stocks, bonds, real estate, alternatives
Sectors
Healthcare, tech, consumer goods, energy
Geography
Domestic and international markets
Diversification doesn’t guarantee profits, but it does help protect you from the unexpected. It’s a strategy that aligns with any life stage and can become even more powerful when paired with consistent, intentional investing.
Strategy in Practice - Building Habits That Work Over Time
If risk and time shape your approach, habits carry it forward. Strategy is as much about behavior as it is about selection. This section introduces practical tools and patterns that make investing more predictable, less emotional, and more aligned with your goals.
Dollar-Cost Averaging (DCA)
Imagine you want to invest $1,200 in a fund. You can invest the total amount all at once, or you could invest $100 every month for a year. With DCA, you’re making regular purchases, regardless of whether prices are up or down.
This strategy has two big advantages:
- It removes timing pressure, so you’re not trying to guess when prices will hit bottom.
- It averages out your cost over time, so sometimes you buy high, sometimes low, but you are consistently building.
DCA works especially well for long-term goals like retirement, where steady investing yields better results than trying to time the market. The phrase "time the market" is shorthand for a difficult and often unproductive goal (trying to predict short-term movements in prices).
Trying to outguess the market direction can feel empowering, but history shows it’s incredibly hard to do. DCA provides a calmer alternative: You focus on when you invest, not where the market is heading.
Buy and Hold
A buy-and-hold strategy is a simple idea with powerful results: Buy quality investments and hang onto them.
Imagine investing in a company you believe in. Instead of obsessively tracking daily prices, you let time and compounding do their work. This strategy avoids emotional trading. You can avoid the pitfalls of panic-selling in a downturn or jumping into a hot trend by relying on research instead.
Of course, this approach doesn’t mean you should ever ignore your portfolio. Choose well, rebalance occasionally, and let the market’s long-term upward trend work in your favor.
Growth vs. Value
These two labels are often misunderstood.
Growth stocks
Companies are expected to expand quickly. They may not pay dividends because profits are reinvested.
Value stocks
Companies that look under-priced based on fundamentals. They may offer dividends and tend to have lower volatility.
These aren’t mutually exclusive. Some companies grow and offer value. However, your portfolio may tilt toward one or another based on your risk profile, time horizon, or market outlook.
Understanding these distinctions helps you interpret what you’re investing in, not just how much you’re investing.
Strategy is a collection of aligned choices: It is your tolerance for risk and your time horizon, combined with the consistency and discipline of your investing habits.
Strategy connects tools to outcomes. This section introduces how to build portfolios, balance competing priorities, and plan for uncertainty. It doesn’t teach what to invest in; it teaches how to think about investing systematically.
- Diversification: spreading risk across assets
- Asset allocation: aligning tools with goals and timeframes
- Risk personality: how comfort with volatility affects design
A well-designed portfolio isn’t about predicting the future - it’s about preparing for it. This section helps students develop frameworks for building investment habits that are resilient, intentional, and aligned with their identity.
- What kinds of risk feel most uncomfortable to you - loss, uncertainty, missing out? How would that shape your strategy?
- Why do investors often chase performance instead of trusting their strategy?
- Given an investor with a 30-year horizon and moderate risk tolerance, propose an allocation strategy and justify it.

