MATH 2FM3 Lecture Notes - Lecture 2: Investment, Effective Interest Rate

The slope m and the y-intercept of the line 10x + 2y = 17 are A company's revenue and predict functions for q items are R(q) = 253q and pi (0) = 1.03q = 1250, The Variable count for each item is A. $1250 B. $1.03 C. $2.53 D. $1.50 E. None of these The profit for selling each item is A. $1.03 B. $2.53 C. $150 D. $1250 E. None of these The expression 9 = e3x is equivalent to A. log0 3x = e B. ln 3x = 9 C. ln 9 = 2x D. ln 9 = 3x E. None of these Solve the equation 9 = 2 3x. The population of an area can be approximated by P = 9.2(0.9321)l, where P is in millions of people and t is in your since 2005. The yearly percent decay rate of the population is Using the given table. f(g(3)) = By using the above table, find the average rate of change in f(x) and g(x) between 1 and 4 respectively A line that connects any two points on a curve is called a secant line. The curve is f(x) = x2 + 8x. Find the equation of the secant line passing through two points whose x coordinates are x1 = -6 and x2 = -1. If you need $20,000 in your bank account in 6 years, how much must be deposited now? The interest rate is 10 % and it is compounded continuously. A movie theater has to pay rent $100 per day A catering service will charge $2 per customer for the snack. The theater charges $15 per ticket. How many customers per day does the theater need in order to break even on the payment? A house purchased for $36,0000 new, increases in value at the rate of 3% each you. The average rate of change in the value of the house from year 2 to year 5 is _________. If a bank pays 6% per year interest compounded annually. how long does it take for the balance in an account to double? The supply and demand functions for a product are q = S(p) = 20p - 400 and q = D(p) = 800 - 40p where q b the quantity and p is the price in dollars. Find the quantity at the equilibrium point.

THE ECONOMY: "Though growth averaged 2.5% stock market. says Leuthold, who recently completed a study of the stock market's daily ns over the past 100 years. In fact the stock market's daily swings from 1992 through '95 were less than half the historical average. Recently, however, daily fluctuations BY MICHAEL SIVY prices have cruised frm one high tothe next the stock market's daily swings from 1992 MosT OF THE PAST FOUR YEARS. STOCK ups and dow from one high to the next h, silent ride of a Rolls-Royce. But since March, the market has been lurching at an annual rate invest additional cash in stocks when they're low. If volatili in the first half of oyour Donailene tem dieapsirm ke a broken-down jalopy If you're hesitant to in stock prices have doubled (see the chart be- n't worry. Consider putting some be a sign that we're getting close to a market so jumpy. do of your money in long-term bonds instead. close to a mak t 1996, it will slow likely to beat stocks over the This short-term forecast doesn't change presi- the fact that the five-year outlook for stocks is terrific-thanks to the enormous underlying JTTERY AGAIN Percentage of trading days strength of the U.S. econ- the Dow moved more than 1% omy and the fact that aging -Bonds are next 12 months, says Steve Leuthold, dent of the Leuthold Group. STOCK PRICES ARE GETTING later this year.” nnpolis cuipd AGAIN advisory firm. We couldn't agree more. In fact, the out look for long-term bonds is the best it's been for more omy and the fact that agi baby boomers are continu- ing to sock away more than S20 billion a month in "The Dow couldthan a year. reach 6000 by fall but wil Here's our analysis: We see the economy slowing from its current 2.5% growth rate to only 2% or so late this year. Furthermore, stock mutual funds. Nonetheless, this is atime to restrict any new invest- ments in stocks to conserva- it makes sense to favor issues that are likely to boost their dividends, such as the shares decline ofas much as 15% starting beforea result, long-term-bond year-end." yields could sink from to day's 69% to as low as 6% by year-end. That rate decline would produce total re turns the Wall Street Newsletter n page 58. Stocks with solid around less than growth on bonds and other Income investments could return uping to fall s to 20% in the coming year. Moreover, as you sell By contrast, stocks increasingly look as some of your past year's winners, don't feel hough they are poised for a temporary 15% you have to reinvest all your profits in stocks. Consider putting some money into are likely to 30-year Treasuries (and mutual funds that start worrying that corporate profits are go- hold such long-term. high-quality issues). In hort of analysts' estimates and short, fortify your asset mix with bigger mark down share prices. "Slower earnings holdings of long-term bonds and other in- gains could turn the stock market's ail come investments such as high-yield stocks. portfo- drop in the second half of 1996. Reason: As the economy siows, investors winds into head winds." says economist That will help you keep your overall Michael SivyKathryn J. Lunstrum at Duff & Phelps in lio on track to a double-digit return even if the stock market takes a nasty 15% tumble in The tip-off that a stock market pullback the coming year. may be close is the increasing volatility o share prices over the past three months. Wall Street editor Michad Sivy is a chartered fi Volatility tends to be low in a strong, rising analyst and a former Wall Street researth director. nancia