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1. If the interest rate is 8 percent, then the present value of $1,000 to be received in 4 years is $735.03.
2. If a savings account pays 5 percent annual interest, then the rule of 70 tells us that the account value will double in
approximately 14 years.
3. The present value of $100 to be paid in two years is less than the present value of $100 to be paid in three years.
4. The future value of $1 saved today is $1/(1 + r).
5. The present value of any future sum of money is the amount that would be needed today, at current interest rates, to
produce that future sum.
6. The sooner a payment is received and the higher the interest rate, the greater the present value of a future payment.
7. A company that can build a project that will cost $50,000, but returns $52,000 in one year would make a good decision
by turning this project down if the interest rate were 3 percent.
8. As the interest rate increases, the present value of future sums decreases, so firms will find fewer investment projects
9. According to the rule of 70, if you earn an interest rate of 3.5 percent, your savings will double about every 20 years.
10. The rule of 70 applies to a growing savings account but not to a growing economy.
11. If you are faced with the choice of receiving $500 today or $800 6 years from today, you will be indifferent between
the two possibilities if the interest rate is 8.148 percent.
12. The concept of present value helps explain why the quantity of loanable funds demanded decreases when the interest
rate increases.
13. An increase in the interest rate causes a decrease in the future value of $1,000 that you have in a bank account today.
14. The present value of a payment of $500 to be made two years from today is greater if the interest rate is 7% than if it
is 6%.
15. PZX Corporation has the opportunity to undertake an investment project that will cost $10,000 today and yield the
company $13,310 in 3 years. PZX will forgo the project if the interest rate is higher than 10 percent.
16. ZZL Corporation has the opportunity to undertake an investment project that will cost $20,000 today. If the interest
rate is 20 percent and if the project will yield the company $30,000 in 3 years, then ZZL will undertake the project.
17. Risk aversion simply means that people dislike bad things to happen.
18. Risk-averse individuals like good things more than they dislike comparable bad things.
19. People who are risk averse dislike bad outcomes more than they like comparable good outcomes.
20. The market for insurance is an example of diversification.
21. A person’s subjective measure of well-being or satisfaction is called aversion.
22. Historically, stocks have offered higher rates of return than bonds.
23. Historically the return on stocks has been higher than the return on bonds. In part this reflects the higher risk from
holding stock.
24. Risk-averse persons will take no risks.
25. The market for insurance is one example of reducing risk by using diversification.
26. A person with diminishing marginal utility of wealth is risk averse.
27. Adverse selection is illustrated by people who take greater risks after they purchase insurance.
28. Increasing the number of corporations whose stocks are in your portfolio reduces market risk.
29. Diversification can reduce firm-specific risk.
30. The fact that we observe a trade-off between risk and return is puzzling to economists, because that observation
conflicts with the notion that most people are risk averse.
31. From the standpoint of the economy as a whole, the role of insurance is to greatly reduce or eliminate the risks
inherent in life.
32. If a person had increasing marginal utility, then the decline in utility from losing $1,000 would be greater than the
increase in utility from gaining $1,000.
33. Moral hazard is illustrated by people who take greater risks after they purchase insurance.
34. Diversification cannot reduce market risk.
35. When the price of an asset rises above what appears to be its fundamental value, the market is said to be experiencing
a speculative bubble.
36. Because the statistic called the standard deviation measures the volatility of a variable, it is used to measure the return
of a portfolio.
37. The value of a stock depends on the ability of the company to generate dividends and the expected price of the stock
when the stockholder sells her shares.
38. According to fundamental analysis, when choosing stocks for your portfolio, you should prefer undervalued stocks.
39. According to the efficient markets hypothesis, at any moment in time, the market price is the best estimate of the
company’s value based on publicly available information.
40. According to the efficient markets hypothesis, stocks follow a random walk so that stocks that increase in price one
year are more likely to increase than decrease in the next year.
41. According to the efficient markets hypothesis, the number of people who think a stock is overvalued exactly balances
the number of people who think a stock is undervalued.
42. Studies find that mutual fund managers who do well in one year are likely to do well the next year.
43. Managed mutual funds usually outperform mutual funds that are supposed to follow some stock index.
44. Speculative bubbles may arise in part because the value of the stock to a stockholder depends on the final sale price.
45. Available evidence indicates that stock prices, even if not exactly a random walk, are very close to a random walk.
46. If you wish to rely on fundamental analysis to choose a portfolio of stocks, then you have no choice but to do all the
necessary research yourself.
47. If you believe the stock market is informationally efficient, then it is a waste of time to engage in fundamental
analysis.
48. Actively managed mutual funds usually fail to outperform index funds, and this fact provides evidence in favor of the
efficient markets hypothesis.
49. In the 15 years ending February 2016, most active portfolio managers failed to beat the market.
50. If the interest rate is 5 percent, then receiving $1,000 eight years from now is worth more than receiving $700 today.
51. If the interest rate is 6 percent, then the present value of $5,000 received ten years from today is $2,583.34.
52. According to the Rule of 70, it takes 70 years for a sum of money to double in value when the interest rate is 5
percent.
53. A person who is risk averse will like gaining $1,000 more than they will dislike losing $1,000.
54. Suppose Dave drives more recklessly when he has car insurance than when he does not have car insurance. This is an
example of the moral hazard problem associated with insurance.