{"lesson":{"id":11,"moduleId":4,"slug":"how-are-risk-and-return-related","title":"How are risk and return related?","summary":"You understand why a higher expected return usually comes with higher risk, and what \"expected\" means in that context.","bodyMarkdown":"## Objectives\n\nBy the end of this lesson you understand why a higher expected return usually comes with higher risk, and what \"expected\" means in that context.\n\n## Content\n\nAn investment's return is the gain -- or loss -- it produces, usually expressed as a percentage of the amount invested. When people talk about \"expected return,\" they aren't talking about a guaranteed outcome, but an estimate: the most likely result, given the risk the investment carries.\n\nIn financial markets there's a general relationship between risk and expected return: to take on more risk, investors demand, in exchange, the possibility of earning more return. The logic is simple -- if two investments offered the same expected return but one carried more risk than the other, everyone would prefer the lower-risk one. This causes market prices to tend to adjust until an investment's extra risk comes with an extra potential return -- otherwise, no one would be willing to take on that extra risk with nothing in exchange.\n\nIt's essential not to confuse \"higher expected return\" with \"higher guaranteed return.\" They're practically opposites: a higher expected return reflects that the range of possible outcomes is wider -- you can gain more, but you can also lose more -- not that you'll necessarily get a better result. Looking only for the investment with the highest possible return, without considering the risk it carries, treats two linked magnitudes as if they were independent.\n\n## Example\n\nA stock and a bond from the same company illustrate this relationship well. The bond offers interest agreed in advance and, barring a default by the company, a fairly predictable outcome. The stock offers no agreed-upon figure: its result depends entirely on how the company performs in the future, and it can vary much more, both for better and for worse. That's why the market generally demands a higher expected return for a stock than for a bond from that same company -- as compensation for the higher risk of having no result agreed in advance.\n\n## Common mistakes\n\n- Thinking \"higher expected return\" means \"higher guaranteed return\" -- it's just the opposite: greater uncertainty about the actual outcome.\n- Looking for the investment with the highest possible return without considering the risk it carries, as if they were independent qualities.\n\n## Summary\n\nTaking on more risk is, generally, the condition for being able to aim for a higher expected return -- never a guarantee of getting it. Risk and expected return are linked, not independent magnitudes.\n\n## Self-check\n\nWhy isn't \"higher expected return\" the same as \"higher guaranteed return\"?\n\nWhy does the market generally demand a higher expected return for a stock than for a bond from the same company?","bodyHtml":"<h2>Objectives</h2>\n<p>By the end of this lesson you understand why a higher expected return usually comes with higher risk, and what &quot;expected&quot; means in that context.</p>\n<h2>Content</h2>\n<p>An investment's return is the gain -- or loss -- it produces, usually expressed as a percentage of the amount invested. When people talk about &quot;expected return,&quot; they aren't talking about a guaranteed outcome, but an estimate: the most likely result, given the risk the investment carries.</p>\n<p>In financial markets there's a general relationship between risk and expected return: to take on more risk, investors demand, in exchange, the possibility of earning more return. The logic is simple -- if two investments offered the same expected return but one carried more risk than the other, everyone would prefer the lower-risk one. This causes market prices to tend to adjust until an investment's extra risk comes with an extra potential return -- otherwise, no one would be willing to take on that extra risk with nothing in exchange.</p>\n<p>It's essential not to confuse &quot;higher expected return&quot; with &quot;higher guaranteed return.&quot; They're practically opposites: a higher expected return reflects that the range of possible outcomes is wider -- you can gain more, but you can also lose more -- not that you'll necessarily get a better result. Looking only for the investment with the highest possible return, without considering the risk it carries, treats two linked magnitudes as if they were independent.</p>\n<h2>Example</h2>\n<p>A stock and a bond from the same company illustrate this relationship well. The bond offers interest agreed in advance and, barring a default by the company, a fairly predictable outcome. The stock offers no agreed-upon figure: its result depends entirely on how the company performs in the future, and it can vary much more, both for better and for worse. That's why the market generally demands a higher expected return for a stock than for a bond from that same company -- as compensation for the higher risk of having no result agreed in advance.</p>\n<h2>Common mistakes</h2>\n<ul><li>Thinking &quot;higher expected return&quot; means &quot;higher guaranteed return&quot; -- it's just the opposite: greater uncertainty about the actual outcome.</li><li>Looking for the investment with the highest possible return without considering the risk it carries, as if they were independent qualities.</li></ul>\n<h2>Summary</h2>\n<p>Taking on more risk is, generally, the condition for being able to aim for a higher expected return -- never a guarantee of getting it. Risk and expected return are linked, not independent magnitudes.</p>\n<h2>Self-check</h2>\n<p>Why isn't &quot;higher expected return&quot; the same as &quot;higher guaranteed return&quot;?</p>\n<p>Why does the market generally demand a higher expected return for a stock than for a bond from the same company?</p>","sortOrder":2,"readingMinutes":5,"difficulty":"Básico"},"previous":{"id":10,"moduleId":4,"slug":"what-is-risk-in-an-investment","title":"What is risk in an investment?","summary":"You understand what risk means in the context of an investment, and why it isn't the same as \"the possibility of losing money.\"","bodyMarkdown":"## Objectives\n\nBy the end of this lesson you understand what risk means in the context of an investment, and why it isn't the same as \"the possibility of losing money.\"\n\n## Content\n\nAn investment's risk is the uncertainty about its future outcome: the possibility that the actual result -- what you actually gain or lose -- differs from the result you expected. That deviation can go either down (worse than expected) or up (better than expected); in everyday language, people almost always think of the negative side, but technically risk is uncertainty in both directions, not just the downside.\n\nThis distinction matters because it changes the question you should ask before investing. It's not just \"can I lose money here?\" -- that's true of almost any investment, to some degree -- but \"how much can the actual result vary from what I expect, and am I willing to accept that variation?\".\n\nNo investment is completely free of risk, not even the ones that seem safest. Holding cash without investing it also carries risk: the risk that money loses purchasing power over time if prices in general rise (inflation), even though the number in the account doesn't change. What varies between different options isn't \"having risk or not having it,\" but what type of risk is taken on and to what degree.\n\nRisk also isn't uniform across the different asset types you already know from the previous module -- a stock, a bond, a currency, a commodity. Each has a different nature and, therefore, a different uncertainty about its future outcome. The next lessons in this module go deeper into how that risk relates to the return you can expect, and into one of the most common ways of measuring it.\n\n## Example\n\nInvesting in a small, little-known company with a short financial track record carries more uncertainty about its future outcome than investing in a bond from a government with solid finances and a long history of meeting its payments -- not necessarily because the first one will go badly, but because there's much less information and history to anticipate how it will perform.\n\n## Common mistakes\n\n- Confusing risk with \"the probability of losing money\" only -- risk is uncertainty about the outcome, in both directions, not just the downside.\n- Thinking there's some investment that's completely risk-free -- even holding cash carries the risk of losing purchasing power to inflation.\n\n## Summary\n\nAn investment's risk is the uncertainty about whether its actual outcome will match the expected one, not just the possibility of losing money. No investment is completely free of it, and its nature varies by asset type.\n\n## Self-check\n\nWhy does holding cash also involve taking on some risk?\n\nWhat's the difference between \"risk\" and \"probability of losing money\"?","bodyHtml":"<h2>Objectives</h2>\n<p>By the end of this lesson you understand what risk means in the context of an investment, and why it isn't the same as &quot;the possibility of losing money.&quot;</p>\n<h2>Content</h2>\n<p>An investment's risk is the uncertainty about its future outcome: the possibility that the actual result -- what you actually gain or lose -- differs from the result you expected. That deviation can go either down (worse than expected) or up (better than expected); in everyday language, people almost always think of the negative side, but technically risk is uncertainty in both directions, not just the downside.</p>\n<p>This distinction matters because it changes the question you should ask before investing. It's not just &quot;can I lose money here?&quot; -- that's true of almost any investment, to some degree -- but &quot;how much can the actual result vary from what I expect, and am I willing to accept that variation?&quot;.</p>\n<p>No investment is completely free of risk, not even the ones that seem safest. Holding cash without investing it also carries risk: the risk that money loses purchasing power over time if prices in general rise (inflation), even though the number in the account doesn't change. What varies between different options isn't &quot;having risk or not having it,&quot; but what type of risk is taken on and to what degree.</p>\n<p>Risk also isn't uniform across the different asset types you already know from the previous module -- a stock, a bond, a currency, a commodity. Each has a different nature and, therefore, a different uncertainty about its future outcome. The next lessons in this module go deeper into how that risk relates to the return you can expect, and into one of the most common ways of measuring it.</p>\n<h2>Example</h2>\n<p>Investing in a small, little-known company with a short financial track record carries more uncertainty about its future outcome than investing in a bond from a government with solid finances and a long history of meeting its payments -- not necessarily because the first one will go badly, but because there's much less information and history to anticipate how it will perform.</p>\n<h2>Common mistakes</h2>\n<ul><li>Confusing risk with &quot;the probability of losing money&quot; only -- risk is uncertainty about the outcome, in both directions, not just the downside.</li><li>Thinking there's some investment that's completely risk-free -- even holding cash carries the risk of losing purchasing power to inflation.</li></ul>\n<h2>Summary</h2>\n<p>An investment's risk is the uncertainty about whether its actual outcome will match the expected one, not just the possibility of losing money. No investment is completely free of it, and its nature varies by asset type.</p>\n<h2>Self-check</h2>\n<p>Why does holding cash also involve taking on some risk?</p>\n<p>What's the difference between &quot;risk&quot; and &quot;probability of losing money&quot;?</p>","sortOrder":1,"readingMinutes":5,"difficulty":"Básico"},"next":{"id":12,"moduleId":4,"slug":"what-is-volatility","title":"What is volatility?","summary":"You understand what volatility is, how it relates to risk, and why it isn't the only way of measuring it.","bodyMarkdown":"## Objectives\n\nBy the end of this lesson you understand what volatility is, how it relates to risk, and why it isn't the only way of measuring it.\n\n## Content\n\nVolatility measures how much an asset's price varies over a given period of time. A highly volatile asset is one whose price rises and falls frequently and sharply; a low-volatility asset tends to move more gradually and predictably.\n\nVolatility is one of the most common ways of measuring an investment's risk -- but, as you already saw in this module's first lesson, it isn't the same as risk in its full sense, only one of its possible measures. It's a particularly useful measure because it's directly observable from the price, with no need for additional estimates: you just need to look at how much an asset's price has moved in the past to get a sense of its historical volatility.\n\nHowever, volatility doesn't capture everything that makes up an investment's real risk. A bond can have relatively low day-to-day price volatility and still carry default risk -- the possibility that the issuer won't pay, something volatility alone doesn't reflect until it happens. That's why it's better to treat volatility as a useful tool for approximating risk, not as its complete definition.\n\nIn general, and consistent with the risk-return relationship you already saw, assets with higher volatility -- like stocks of small or less established companies -- tend to offer a higher expected return than assets with lower volatility, like bonds from governments with solid finances.\n\n## Example\n\nA young tech company's stock price can rise or fall several percentage points in a single day, while a bond from a government with solid finances barely moves day to day -- the stock is, in this sense, much more volatile than the bond.\n\n## Common mistakes\n\n- Confusing volatility with risk in general -- volatility is one way of measuring risk, not its complete definition; some risks, like default risk, aren't always reflected in advance by price volatility.\n- Thinking a low-volatility asset is risk-free -- it only means its price varies little in the short term, not that it can't have other risks.\n\n## Summary\n\nVolatility measures how much an asset's price varies over time, and it's one of the most common ways -- though not the only one -- of measuring risk. More volatile assets generally tend to demand a higher expected return.\n\n## Self-check\n\nWhy isn't volatility exactly the same thing as risk?\n\nWhy can a bond with low price volatility still carry risk?","bodyHtml":"<h2>Objectives</h2>\n<p>By the end of this lesson you understand what volatility is, how it relates to risk, and why it isn't the only way of measuring it.</p>\n<h2>Content</h2>\n<p>Volatility measures how much an asset's price varies over a given period of time. A highly volatile asset is one whose price rises and falls frequently and sharply; a low-volatility asset tends to move more gradually and predictably.</p>\n<p>Volatility is one of the most common ways of measuring an investment's risk -- but, as you already saw in this module's first lesson, it isn't the same as risk in its full sense, only one of its possible measures. It's a particularly useful measure because it's directly observable from the price, with no need for additional estimates: you just need to look at how much an asset's price has moved in the past to get a sense of its historical volatility.</p>\n<p>However, volatility doesn't capture everything that makes up an investment's real risk. A bond can have relatively low day-to-day price volatility and still carry default risk -- the possibility that the issuer won't pay, something volatility alone doesn't reflect until it happens. That's why it's better to treat volatility as a useful tool for approximating risk, not as its complete definition.</p>\n<p>In general, and consistent with the risk-return relationship you already saw, assets with higher volatility -- like stocks of small or less established companies -- tend to offer a higher expected return than assets with lower volatility, like bonds from governments with solid finances.</p>\n<h2>Example</h2>\n<p>A young tech company's stock price can rise or fall several percentage points in a single day, while a bond from a government with solid finances barely moves day to day -- the stock is, in this sense, much more volatile than the bond.</p>\n<h2>Common mistakes</h2>\n<ul><li>Confusing volatility with risk in general -- volatility is one way of measuring risk, not its complete definition; some risks, like default risk, aren't always reflected in advance by price volatility.</li><li>Thinking a low-volatility asset is risk-free -- it only means its price varies little in the short term, not that it can't have other risks.</li></ul>\n<h2>Summary</h2>\n<p>Volatility measures how much an asset's price varies over time, and it's one of the most common ways -- though not the only one -- of measuring risk. More volatile assets generally tend to demand a higher expected return.</p>\n<h2>Self-check</h2>\n<p>Why isn't volatility exactly the same thing as risk?</p>\n<p>Why can a bond with low price volatility still carry risk?</p>","sortOrder":3,"readingMinutes":5,"difficulty":"Básico"},"pathContext":null,"curatedLinks":{"prerequisite":[],"continuation":[],"related":[{"lesson":{"id":6,"moduleId":3,"slug":"what-is-a-share","title":"What is a share?","summary":"You understand what a share is, what rights it gives its holder, and why its price is set by the market and not by the company that issues it.","bodyMarkdown":"## Objectives\n\nBy the end of this lesson you understand what a share is, what rights it gives its holder, and why its price is set by the market and not by the company that issues it.\n\n## Content\n\nA share is a security that represents a proportional part of a company's ownership. When you buy a share, you're not lending money to the company: you become a part-owner of it, in the exact proportion that share represents of the total shares outstanding.\n\nShares are also known as **equities**, precisely because they offer no return agreed in advance: what you gain or lose depends entirely on how the price performs in the market and on whether the company decides to distribute profits, never on a figure promised when you bought it.\n\nBeing a shareholder grants, in principle, two rights: the right to a proportional share of profits, if the company decides to distribute them as a dividend; and voting rights at the shareholders' meeting, also proportional to the number of shares you hold. In practice, if your stake is small compared to other shareholders -- funds, other large investors -- that voting right carries little weight, but it still exists.\n\nA share's price isn't set by the company or by any body: it's determined by the market, through the same supply-and-demand mechanism you already saw in the previous module. That's why a share's price can move constantly during market hours, even though nothing has changed about the company at that specific moment -- what changes is investors' collective perception of its future value.\n\nIt's important to note something often overlooked: the number of shares a company has isn't fixed forever. It can increase (a capital increase) or, more rarely, decrease (a share buyback). When the number of shares increases, each existing shareholder's proportional stake shrinks, even if they haven't sold anything -- this is called dilution.\n\n## Example\n\nIf a company like Apple has on the order of 15 billion shares outstanding and you buy a single share, your stake in the company's ownership is tiny -- but real: you have the right, proportional to that one share, to whatever profits it distributes and to vote at its shareholders' meeting.\n\n## Common mistakes\n\n- Thinking a share is a loan to the company, as if it were a bond -- a share is ownership, not debt; whoever lends money to a company in exchange for interest buys a bond, not a share.\n- Believing that the number of a company's shares is fixed -- it can increase (a capital increase, diluting existing shareholders) or decrease (a share buyback).\n\n## Summary\n\nA share is a proportional part of a company's ownership, not a loan -- it's also known as equity, because it offers no fixed return agreed in advance. It grants a right to a share of profits, if distributed, and a vote at the shareholders' meeting. Its price is set by the market, not the company, and the number of shares outstanding can change over time.\n\n## Self-check\n\nWhy is buying a share not the same as lending money to a company?\n\nWhat happens to your ownership percentage if the company does a capital increase and you don't buy any new shares?","bodyHtml":"<h2>Objectives</h2>\n<p>By the end of this lesson you understand what a share is, what rights it gives its holder, and why its price is set by the market and not by the company that issues it.</p>\n<h2>Content</h2>\n<p>A share is a security that represents a proportional part of a company's ownership. When you buy a share, you're not lending money to the company: you become a part-owner of it, in the exact proportion that share represents of the total shares outstanding.</p>\n<p>Shares are also known as <strong>equities</strong>, precisely because they offer no return agreed in advance: what you gain or lose depends entirely on how the price performs in the market and on whether the company decides to distribute profits, never on a figure promised when you bought it.</p>\n<p>Being a shareholder grants, in principle, two rights: the right to a proportional share of profits, if the company decides to distribute them as a dividend; and voting rights at the shareholders' meeting, also proportional to the number of shares you hold. In practice, if your stake is small compared to other shareholders -- funds, other large investors -- that voting right carries little weight, but it still exists.</p>\n<p>A share's price isn't set by the company or by any body: it's determined by the market, through the same supply-and-demand mechanism you already saw in the previous module. That's why a share's price can move constantly during market hours, even though nothing has changed about the company at that specific moment -- what changes is investors' collective perception of its future value.</p>\n<p>It's important to note something often overlooked: the number of shares a company has isn't fixed forever. It can increase (a capital increase) or, more rarely, decrease (a share buyback). When the number of shares increases, each existing shareholder's proportional stake shrinks, even if they haven't sold anything -- this is called dilution.</p>\n<h2>Example</h2>\n<p>If a company like Apple has on the order of 15 billion shares outstanding and you buy a single share, your stake in the company's ownership is tiny -- but real: you have the right, proportional to that one share, to whatever profits it distributes and to vote at its shareholders' meeting.</p>\n<h2>Common mistakes</h2>\n<ul><li>Thinking a share is a loan to the company, as if it were a bond -- a share is ownership, not debt; whoever lends money to a company in exchange for interest buys a bond, not a share.</li><li>Believing that the number of a company's shares is fixed -- it can increase (a capital increase, diluting existing shareholders) or decrease (a share buyback).</li></ul>\n<h2>Summary</h2>\n<p>A share is a proportional part of a company's ownership, not a loan -- it's also known as equity, because it offers no fixed return agreed in advance. It grants a right to a share of profits, if distributed, and a vote at the shareholders' meeting. Its price is set by the market, not the company, and the number of shares outstanding can change over time.</p>\n<h2>Self-check</h2>\n<p>Why is buying a share not the same as lending money to a company?</p>\n<p>What happens to your ownership percentage if the company does a capital increase and you don't buy any new shares?</p>","sortOrder":1,"readingMinutes":5,"difficulty":"Básico"},"route":{"levelSlug":"fundamentals","moduleSlug":"financial-assets"}}]},"relatedConcepts":[{"concept":{"id":13,"slug":"return","term":"Return","shortDefinition":"The gain or loss an investment produces, usually expressed as a percentage of the amount invested.","longDefinition":"An investment's expected return is not a promise or a guarantee, but an estimate of the most likely outcome given the risk involved. Generally speaking, the market demands a higher expected return as a condition for taking on more risk -- if two investments offered the same expected return but one carried more risk than the other, everyone would prefer the lower-risk one, so prices tend to adjust until the extra risk of an investment comes with an extra potential return. \"Expected\" doesn't mean \"guaranteed\": a higher expected return reflects a wider range of possible outcomes, not the certainty of a better result."}}]}