Microeconomics (2nd Edition) (Pearson Series in Economics)
2nd Edition
ISBN: 9780134492049
Author: Daron Acemoglu, David Laibson, John List
Publisher: PEARSON
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Question
Chapter 15, Problem 1P
To determine
The doubling time at interest rates
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A mathematical approximation called the rule of 70 tells us how long it will take for something to double in size if it grows at a constant rate. The doubling time is approximately equal to the number 70 divided by the percentage rate of growth. Thus, if Panama’s real GDP per person is growing at 7 percent per year, it will take about 10 years (= 70/7) to double. Apply the rule of 70 to solve the following problem:
Suppose that real GDP per person in Panama in 2017 was about $12,000 per person, while it was about $48,000 per person in the United States. If real GDP per person in Panama grows at the rate of 5 percent per year, about how long will it take Panama’s real GDP per person to reach the level that the United States was at in 2017? (Hint: How many times would Panama’s 2017 real GDP per person have to double to reach the United States’ 2017 real GDP per person?)
__________ years
Over the next three years, the expected path of 1-year interest rate is 4, 1, and 1 percent. Today if you buy $1 of one-year bond and when it matures you use the money you receive to buy another one-year bond, then your expected rate of return for this $1 investment is ____% (round to the nearest integer). If the expectations theory of the term structure is true, then it implies that the current interest rate on 2-year bond must be ____% (round to one decimal place x.x)
A semiannual payment bond with a $1,000 par has a 7 percent quoted coupon rate, a 7 percent promised YTM, and 10 years to maturity. What is the bond's duration? If interest rates are expected to rise by one half of a percent, by how much would you expect the price to change using the modified duration equation? How much would you expect the price to change using convexity? You need to use the bond duration and convexity calculator to answer this question.
Chapter 15 Solutions
Microeconomics (2nd Edition) (Pearson Series in Economics)
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- A mathematical approximation called the rule of 70 tells us that the number of years that it will take something that is growing to double in size is approximately equal to the number 70 divided by its percentage rate of growth. Thus, if Mexico's real GDP per person is growing at 7 percent per year, it will take about 10 years ( =70/7) to double. Apply the rule of 70 to solve the following problem. Real GDP per person in Mexico in 2005 was about $ 11,000 per person, while it was about $ 44,000 per person in the United States. If real GDP per person in Mexico grows at the rate of 5 percent per year, about how long will it take Mexico's real GDP per person to reach the level that the United States was at in 2005? (Hint: How many times would Mexico's 2005 real GDP per person have to double to reach the United States' 2005 real GDP per person?)arrow_forwardIf your portfolio expected annual average total return was 10% and long-term inflation was about 3%, what would your REAL average annual returns be with a 100% equity portfolio? 10% 7% 3% 5% If you put your retirement funds in a savings account earning 0.5% and inflation was 3%, how much would you lose in value each year against inflation by not earning more than inflation on your retirement savings? 0.5% less 3% for minus 2.5% 3% 0.5% 10.2%arrow_forwardOver the next three years, the expected path of 1-year interst rates is 4,1, and 1 percent. Today you buy $1 of one-year bond and when it matures you plan to use the money you receive to reinvest in one-year bond again. Then your expected rate of return for this $1 investment is _____% (round to the nearest integer). If the expectations theory of the term structure is true, then your expected rate of return for buying a two-year bond today is ____%, which implies that the current interest rate on 2-year bond must be ____%arrow_forward
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