Antonio is a researcher who teaches thermodynamics at a university where he earns an annual salary of $160,000. He intends to take the next year off to focus on writing a new undergraduate physics textbook, so he will not earn any income next year. He is currently deciding how much of this year's salary he should save for next year. Assume that there are no tax implications associated with the decision, and ignore what happens after next year. Therefore, next year Antonio will consume whatever he saves this year plus interest, and he is not concerned with the future beyond next year. The following graph shows Antonio's preferences for consumption this year and next year. Suppose initially Antonio cannot earn interest on the money he saves. Use the green line (triangle symbol) to plot Antonio's budget constraint (BC₁) on the following graph. Then use the black point (plus symbol) to show his optimum consumption bundle. Note: Dashed drop lines will automatically extend to both axes. 240 T

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
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Chapter13: best-practice Tactics: Game Theory
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Problem 14E
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Antonio is a researcher who teaches thermodynamics at a university where he earns an annual salary of $160,000. He intends to take the next year
off to focus on writing a new undergraduate physics textbook, so he will not earn any income next year. He is currently deciding how much of this
year's salary he should save for next year. Assume that there are no tax implications associated with the decision, and ignore what happens after next
year. Therefore, next year Antonio will consume whatever he saves this year plus interest, and he is not concerned with the future beyond next year.
The following graph shows Antonio's preferences for consumption this year and next year. Suppose initially Antonio cannot earn interest on the money
he saves.
Use the green line (triangle symbol) to plot Antonio's budget constraint (BC₁) on the following graph. Then use the black point (plus symbol) to show
his optimum consumption bundle.
Note: Dashed drop lines will automatically extend to both axes.
CONSUMPTION NEXT YEAR (Thousands of dollars)
240
220
200
180
160
140
120
100
80
60
40
20
0
0
40
60 80 100 120 140 160 180 200 220 240
CONSUMPTION THIS YEAR (Thousands of dollars)
BC, (0% Interest)
Initial Optimum (0% Interest)
Now suppose Antonio can earn 50% real interest on any money he saves.
BC (50% Interest)
New Optimum (50% Interest)
Use the blue line (circle symbol) to plot his new budget constraint (BC₂) on the previous graph. Then use the grey point (star symbol) to plot his
optimum consumption bundle at this interest rate. (Hint: To plot BC₂, think about how much money Antonio would have next year if he saved his
entire income this year.)
Transcribed Image Text:Antonio is a researcher who teaches thermodynamics at a university where he earns an annual salary of $160,000. He intends to take the next year off to focus on writing a new undergraduate physics textbook, so he will not earn any income next year. He is currently deciding how much of this year's salary he should save for next year. Assume that there are no tax implications associated with the decision, and ignore what happens after next year. Therefore, next year Antonio will consume whatever he saves this year plus interest, and he is not concerned with the future beyond next year. The following graph shows Antonio's preferences for consumption this year and next year. Suppose initially Antonio cannot earn interest on the money he saves. Use the green line (triangle symbol) to plot Antonio's budget constraint (BC₁) on the following graph. Then use the black point (plus symbol) to show his optimum consumption bundle. Note: Dashed drop lines will automatically extend to both axes. CONSUMPTION NEXT YEAR (Thousands of dollars) 240 220 200 180 160 140 120 100 80 60 40 20 0 0 40 60 80 100 120 140 160 180 200 220 240 CONSUMPTION THIS YEAR (Thousands of dollars) BC, (0% Interest) Initial Optimum (0% Interest) Now suppose Antonio can earn 50% real interest on any money he saves. BC (50% Interest) New Optimum (50% Interest) Use the blue line (circle symbol) to plot his new budget constraint (BC₂) on the previous graph. Then use the grey point (star symbol) to plot his optimum consumption bundle at this interest rate. (Hint: To plot BC₂, think about how much money Antonio would have next year if he saved his entire income this year.)
Using the previous graph, complete the following table by indicating how much Antonio should save of his current income when he cannot earn any
interest on his savings and when he can earn 50% interest on his savings.
Interest Rate Amount Antonio Saves
(Dollars)
(Percent)
0
50
Which of the following statements is a good description of the results of this exercise, as well as its implications for broader consumer behavior?
O All consumers, including Antonio, save more money when interest rates are high, because they get a higher return on that investment.
In this case, Antonio saves more money when interest rates are high. However, consumers with different preferences might save less
money when interest rates are high.
O All consumers, including Antonio, save less money when interest rates are high, because they don't need to save as much money to have
the same future income.
O In this case, Antonio saves less money when interest rates are high. However, consumers with different preferences might save more
money when interest rates are high.
Transcribed Image Text:Using the previous graph, complete the following table by indicating how much Antonio should save of his current income when he cannot earn any interest on his savings and when he can earn 50% interest on his savings. Interest Rate Amount Antonio Saves (Dollars) (Percent) 0 50 Which of the following statements is a good description of the results of this exercise, as well as its implications for broader consumer behavior? O All consumers, including Antonio, save more money when interest rates are high, because they get a higher return on that investment. In this case, Antonio saves more money when interest rates are high. However, consumers with different preferences might save less money when interest rates are high. O All consumers, including Antonio, save less money when interest rates are high, because they don't need to save as much money to have the same future income. O In this case, Antonio saves less money when interest rates are high. However, consumers with different preferences might save more money when interest rates are high.
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