Risk and Return
If someone offers you an investment that promises high returns with zero chance of losing money, the correct response is suspicion, not excitement — because in real financial markets, that combination does not exist, and understanding exactly why is what separates a smart investor from a target for scams.
The fundamental trade-off
Across every corner of financial markets, one relationship holds up again and again: investments that offer the possibility of higher returns also expose you to a higher chance of losing money, or of your results swinging wildly from what you expected. This is usually shortened to "higher risk, higher return" — but that phrase is easy to misread as a guarantee, as if taking on more risk automatically buys you more return. It doesn't. What you're really buying with risk is the possibility of a higher return, in exchange for accepting a real possibility of a worse outcome, including losing money outright. If a safer, lower-risk option offered the same expected payoff as a riskier one, every rational investor would pile into the safer option, which would drive its price up and its return down until the trade-off reappeared. This is why the trade-off is so persistent — market forces keep re-establishing it.
Defining risk: more than just "losing money"
Ask a JC student what "risk" means in investing and most will say "the chance you lose your money." That's part of it, but professional investors define risk more broadly as volatility — the degree to which an investment's returns swing up and down over time, rather than moving smoothly and predictably. An investment can be risky even if it never actually loses money over the long run, simply because its value bounces around unpredictably along the way. That matters because if you need your money at a specific moment — tuition due next semester, a family emergency — a volatile investment might force you to sell during a temporary dip, locking in a real loss even though the investment would have recovered if you could have waited. Risk, in other words, is really about uncertainty of outcome, not just the possibility of a bad outcome.
The risk spectrum: from cash to venture capital
It helps to see risk and return laid out side by side, from the safest assets to the most speculative:
| Asset type | Typical risk level | Typical long-run return expectation |
|---|---|---|
| Cash / savings account | Very low — value barely moves | Very low (often below inflation) |
| Government bonds (e.g. Singapore Savings Bonds) | Low — backed by a government | Low to modest, but steady |
| Corporate bonds | Low to moderate, depends on issuer | Modest, higher than government bonds |
| Blue-chip / large-cap stocks (e.g. DBS, Apple) | Moderate — prices swing with the market | Moderate to good over the long run |
| Growth / small-cap stocks | High — earnings and prices swing sharply | Potentially high, but unreliable |
| Cryptocurrency | Very high — extreme price swings | Highly uncertain, wide range of outcomes |
| Venture capital (startup investing) | Extreme — most individual bets go to zero | Extremely high on rare winners, but most positions lose all their value |
Notice the shape of this table: as you move down it, both the potential reward and the potential pain increase together. A government bond will almost never make you rich, but it will also almost never wipe you out. A venture capital bet on an early-stage startup might return 50 times your money — but the honest, well-documented base rate is that the large majority of individual startup investments return nothing at all, and venture investors only make money overall because a small number of huge winners cover for all the losers.
Risk tolerance: why people make different choices
If risk and return trade off so predictably, why doesn't everyone just pick the same spot on the spectrum? Because the "right" amount of risk to take depends on factors that are different for every person, a concept called risk tolerance — an individual's capacity and willingness to endure investment losses in pursuit of higher returns. Several things shape it:
- Time horizon — a 17-year-old investing money they won't touch for 40 years can ride out a stock market crash, because there's decades of time to recover. A retiree who needs to withdraw money next year cannot afford the same volatility.
- Financial situation — someone with stable income and an emergency fund can tolerate more short-term risk than someone living paycheck to paycheck, because a temporary loss won't threaten their basic needs.
- Goals — saving for a house deposit next year calls for low-risk assets; saving for retirement 45 years away can tolerate far more volatility along the way.
- Personality — some people can watch their portfolio drop 20% and feel calm, trusting the long-term plan; others panic-sell at the first sign of red, locking in losses. Neither reaction is "wrong," but it's genuinely useful to know which type you are before you invest real money.
None of this means risk tolerance is just a feeling to be indulged — a mismatch between your risk tolerance and your actual investments is exactly how people end up selling at the worst possible moment, out of fear, after a market drop. Knowing your risk tolerance in advance is what allows you to pick investments you can actually stick with through a downturn, which matters more than picking the theoretically "best" investment on paper.
Is a 50% chance of winning $200 or a guaranteed $90 a better deal? Explain your reasoning.
Reveal Answer
Mathematically, the gamble has a higher expected value: 50% × $200 + 50% × $0 = $100, which is more than the guaranteed $90. If you could repeat this choice hundreds of times, always taking the gamble would leave you with more money on average than always taking the sure $90. So in a strict "which option pays more on average" sense, the gamble is the better deal by $10.
But "better deal" isn't purely a math question — it also depends on risk tolerance. For a one-off decision, a risk-averse person may reasonably prefer the guaranteed $90, because they place extra value on certainty and want to avoid the real possibility of walking away with nothing. This is a completely rational choice, not an error — it simply means they're willing to give up $10 of expected value in exchange for eliminating risk. There's no single "correct" answer; the honest answer is that the gamble has the higher expected value, but which option is "better" depends on how much the decision-maker values certainty versus potential upside — exactly the same trade-off that runs through every investment decision in this course.