Monday 622
Mostly summarized from Gregory Mankiw’s Principles of Economics, 5th Ed.
PART 9 The Real Economy in the Long Run
Chapter 27 of 36 Basic Tools of Finance
Section 9 of 15
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Figure 3 – The Trade-off between Risk and Return
When people increase the percentage of their savings invested in stocks they increase the average return they can expect but they also increase their short-run risks.
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Here we consider three aspects of risk aversion
1· insurance markets
2· diversification
3· risk-return trade-off
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3-Risk-return trade-off
In financial decisions, the most relevant trade-off is between risk and return.
There are short-run risks inherent in holding stocks, even when the portfolio is diversified.
Risk-averse people are willing to accept these risks because they are compensated in the long-run for taking them.
Over long periods of time stocks have given much higher return rates than other financial assets, including bonds and bank certificates of deposit.
Over the past two hundred years
· stocks yielded an average real (after inflation) return of about 8% per year
· short-term government bonds yielded an average real return of only about 3% per year
People have to decide how much short-run risk they are willing to accept with their savings to earn a higher return.
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Figure 3 illustrates the risk-return trade-off for someone choosing allocation of their portfolio between two asset classes.
The first asset class is stocks.
An investment portfolio with 100% of diversified stocks has much risk in the short run, but over the long run will typically yield an average annual return of 8%.
The second asset class is government bonds or a bank savings account, “No stocks” on Figure 3.
It has little or no risk in the short run, but over the long run will typically yield a smaller average annual return of 3%.
Each point in Figure 3 represents a different portfolio allocation between risky stocks less risky bonds and savings account.
It shows the more a person puts into stocks the greater is both the average return and short-run risk.
The choice of a particular combination of risk and return depends on a person's risk aversion which reflects a person's preferences.
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See Figure C for comparison results of:
-Dow 30 stocks ETF DIA
-government bonds ETF IEF
-from January 1, 2005 to June 22, 2026
Grok:
Over the approximately 21.5 years from January 2005 to June 2026, DIA (Dow 30 ETF) delivered substantially stronger growth than IEF (7-10 Year Treasury Bond ETF).
-DIA compounded at roughly 9.9% annually, turning a $1 investment into about $7.60 for a total gain of approximately 660%.
-IEF grew at a compound annual rate of about 3.1%, turning $1 into roughly $1.94 for a total increase of around 93%.
… …
they gained money in the stock market
karera kabushiki ichiba de okane o eta
彼ら株式市場でお金を得た


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