EBK PRINCIPLES OF MACROECONOMICS
8th Edition
ISBN: 8220103611855
Author: Mankiw
Publisher: Cengage Learning US
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Chapter 3.1, Problem 1QQ
To determine
The graphical representation of production possibility frontier .
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• Prismatic Cards: A prismatic card will be a card that counts as having every suit. We will denote,
e.g., a prismatic Queen card by Q*. With this notation, 2.3045 Q would be a double flush
since every card is a diamond and a heart.
• Wild Cards: A wild card counts as having every suit and every denomination. Denote wild cards with
a W; if there are multiple, we will denote them W₁, W2, etc. With this notation, W2 20.30054
would be both a three-of-a-kind (three 2's) and a flush (5 diamonds). If we add multiple wild cards
to the deck, they count as distinct cards, so that (e.g.) the following two hands count as "different
hands" when counting:
W15 5Q and W255◊♡♡♣♣
In addition,
1. Let's start with the unmodified double-suited deck.
(a) Call a hand a flush house if it is a flush and a full house, i.e. if all cards share a suit and there
are 3 cards of one denomination and two of another. For example, 550.
house. How many different flush house hands are there?
2. Suppose we add one wild…
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EBK PRINCIPLES OF MACROECONOMICS
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- not use ai pleasearrow_forwardIn a classic oil-drilling example, you are trying to decide whether to drill for oil on a field that might or might not contain any oil. Before making this decision, you have the option of hiring a geologist to perform some seismic tests and then predict whether there is any oil or not. You assess that if there is actually oil, the geologist will predict there is oil with probability 0.85 . You also assess that if there is no oil, the geologist will predict there is no oil with probability 0.90. Please answer the two questions below, as I am trying to ensure that I am correct. 1. Why will these two probabilities not appear on the decision tree? 2. Which probabilities will be on the decision tree?arrow_forwardAsap pleasearrow_forward
- not use ai pleasearrow_forwardnot use ai pleasearrow_forwardIn this question, you will test relative purchasing parity (PPP) using the data. Use yearly data from FRED website from 1971 to 2020: (i) The Canadian Dollars to U.S. Dollar Spot Exchange Rate (ER) (ii) Consumer price index for Canada (CAN_CPI), and (iii) Consumer price index for the US (US_CPI). Inflation is measured by the consumer price index (CPI). The relative PPP equation is: AE CAN$/US$ ECAN$/US$ = π CAN - πUS Submit the Excel sheet that you worked on. 1. First, compute the percentage change in the exchange rate (left-hand side of the equation). Caculate the variable for each year from 1972 to 2020 in Column E (named Change_ER) of the Excel sheet. For example, for 1972, compute E3: (B3-B2)/B2). ER1972 ER1971 ER 1971 (in Excel, the formula in cellarrow_forward
- not use ai pleasearrow_forward8. The current price of 3M stock is $87 per share. The previous dividend paid was $5.96, and the next dividend is $6.25, assuming a growth rate of 4.86% per year. What is the forward (next 12 months) dividend yield? Show at least two decimal places, as in x.xx% %arrow_forwardJoy's Frozen Yogurt shops have enjoyed rapid growth in northeastern states in recent years. From the analysis of Joy's various outlets, it was found that the demand curve follows this pattern: Q=200-300P+1201 +657-250A +400A; where Q = number of cups served per week P = average price paid for each cup I = per capita income in the given market (thousands) Taverage outdoor temperature A competition's monthly advertising expenditures (thousands) = A; = Joy's own monthly advertising expenditures (thousands) One of the outlets has the following conditions: P = 1.50, I = 10, T = 60, A₁ = 15, A; = 10 1. Estimate the number of cups served per week by this outlet. Also determine the outlet's demand curve. 2. What would be the effect of a $5,000 increase in the competitor's advertising expenditure? Illustrate the effect on the outlet's demand curve. 3. What would Joy's advertising expenditure have to be to counteract this effect?arrow_forward
- The Compute Company store has been selling its special word processing software, Aceword, during the last 10 months. Monthly sales and the price for Aceword are shown in the following table. Also shown are the prices for a competitive software, Goodwrite, and estimates of monthly family income. Calculate the appropriate elasticities, keeping in mind that you can calculate an elasticity measure only when all other factors do not change (using Excel). For example, price elasticities, months 1-2. Month Price Aceword Quantity Aceword Family Income Price Goodwrite 1 $120 200 $4,000 $130 21 120 210 4,000 145 3 120 220 4,200 145 4 110 240 4,200 145 90 5 115 230 4,200 145 6 115 215 4,200 125 10 7899 115 220 4,400 125 105 230 4,400 125 105 235 4,600 125 105 220 4,600 115arrow_forwardGordon Dividend Growth Model I downloaded some data about 3M (ticker MMM). Company 3M Ticker MMM Dividends Per Share 2017 $4.70 2018 $5.44 2019 $5.76 2020 $5.88 2021 $5.92 2022 $5.96 4. The dividend payment in 2022 was $5.96 per share. Based on the five-year history, we see that dividends per share grew at a compound annual growth rate of 4.86% $5.96 (1/5) CAGR = $4.70 − 1 = (1.2681)0.20 − 1 = 1.0486 - 1 = 0.0486 = 4.86% - - What should be the 2023 dividend based on these values?arrow_forward4. The data set BWGHT.DTA contains data on births to women in the United States. Two variables of interest are the dependent variable, infant birth weight in ounces (bwght), and an explanatory variable, average number of cigarettes the mother smoked per day during pregnancy (cigs). The following simple regression was estimated using data on n=1,388 births: bwght=119.77 - .514 cigs (i) What is the predicted birth weight when cigs = 0? What about when cigs=20 (one pack per day)? Comment on the difference. (ii) Does this simple regression necessarily capture a causal relationship between the child's birth weight and the mother's smoking habits? Explain. (iii) To predict a birth weight of 125 ounces, what would cigs have to be? Comment. (iv) The proportion of women in the sample who do not smoke while pregnant is about .85. Does this help reconcile your finding from part (iii)?arrow_forward
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