Principles of Economics (12th Edition)
12th Edition
ISBN: 9780134078779
Author: Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher: PEARSON
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Chapter 11.A, Problem 4P
To determine
The present value.
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Suppose that the interest rate is 4 percent. What is the future value of $100 four years from now? How much of the future value is total interest? By how much would total interest be greater at a 6 percent interest rate than at a 4 percent interest rate?
Please answer both subparts.
A retired woman has $50,000 to invest but needs to make $6,000 a year from the interest
to meet certain living expenses. One bond investment pays 15% simple annual interest.
The rest of it she wants to put in a CD that pays 7% simple interest.
a) Let x be the amount the woman invests in the 15% bond. Write an expression, in terms
of x, that tells how much the woman invests in the CD.
b) Set up an equation that can be used to determine how much the woman should invest
in each option to earn $6,000 per year in interest.
c) Solve the equation from part b) to determine how much should be invested in each
option.
Chapter 11 Solutions
Principles of Economics (12th Edition)
Ch. 11.A - Prob. 1PCh. 11.A - Prob. 2PCh. 11.A - Prob. 3PCh. 11.A - Prob. 4PCh. 11.A - Prob. 5PCh. 11.A - Prob. 6PCh. 11.A - Prob. 7PCh. 11.A - Prob. 8PCh. 11.A - Prob. 9PCh. 11.A - Prob. 10P
Ch. 11.A - Prob. 11PCh. 11.A - Prob. 12PCh. 11 - Prob. 1.1PCh. 11 - Prob. 1.2PCh. 11 - Prob. 1.3PCh. 11 - Prob. 2.1PCh. 11 - Prob. 2.2PCh. 11 - Prob. 2.3PCh. 11 - Prob. 2.4PCh. 11 - Prob. 2.5PCh. 11 - Prob. 2.7PCh. 11 - Prob. 2.8PCh. 11 - Prob. 2.9PCh. 11 - Prob. 3.1PCh. 11 - Prob. 3.2PCh. 11 - Prob. 3.3PCh. 11 - Prob. 3.4PCh. 11 - Prob. 3.5PCh. 11 - Prob. 3.6P
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- Accarrow_forwardBased on Abel, Bernanke and Croushore, 10th edition, Chapter 4, Numerical Problems No. 1. A consumer is making saving plans for this year and next. She knows her real income after taxes will be $50,000 in both years. Any part of her income saved this year will earn a real interest rate of 10% between this year and next year. Currently, the consumer has no wealth (no money in the bank or other financial assets, and no debts). There is no uncertainty about the future. a) Formally derive the consumer’s intertemporal budget constraint. b) Using the given numerical values rewrite and graph the budget line. c) Find the consumer’s PVLR. The consumer wants to save an amount this year that will allow her to (1) make college tuition payments next year equal to $16,800 in real terms; (2) enjoy exactly the same amount of consumption this year and next year, not counting tuition payments as part of next year’s consumption; and (3) have neither assets nor debts at the end of next year. d) In the…arrow_forwardCindy takes a summer job and earns an after-tax income of $8,000. Her living expenses during the summer were $2,000. What was Cindy's saving during the summer and the change, if any, in her wealth? >>> If your answer is negative, include a minus sign. If your answer is positive, do not include a plus sign. Cindy's saving during the summer is $9 The change in Cindy's wealth is $0. Nezarrow_forward
- Suppose a farmer in Georgia begins to grow peaches. He uses $1,000,000 in savings to purchase land, he rents equipment for $100,000 a year, and he pays workers $110,000 in wages. In return, he produces 150,000 baskets of peaches per year, which sell for $4.00 each. Suppose the interest ra on savings is 1 percent and that the farmer could otherwise have earned $40,000 as a shoe salesman. What is the farmer's economic profit? The peach farmer earns economic profit of $. (Enter your response as an integer.)arrow_forwardThree students have each saved $1,000. Each has an investment opportunity in which he or she can invest up to $2,000. Here are the rates of return on the students’ investment projects: Student Return (Percent) Carlos 4 Felix 7 Janet 15 Assume borrowing and lending is prohibited, so each student uses only personal saving to finance his or her own investment project. Complete the following table with how much each student will have a year later when the project pays its return. Student Money a Year Later (Dollars) Carlos Felix Janet Now suppose their school opens up a market for loanable funds in which students can borrow and lend among themselves at an interest rate rr. A student would choose to be a lender in this market if his or her expected rate of return is than rr. Suppose the interest rate is 6 percent. Among these three students, the quantity of loanable funds supplied would be ,…arrow_forwardCindy takes a summer job and earns an after-tax income of $5,000. Her living expenses during the summer were $1,000. What was Cindy's saving during the summer and the change, if any, in her wealth? >>> If your answer is negative, include a minus sign. If your answer is positive, do not include a plus sign. Cindy's saving during the summer is $arrow_forward
- Suppose that the interest rate is 5 percent. Enter your answers rounded to 2 decimal places. A. What is the future value of $100 four years from now? $ How much of the future value is total interest? $ b. By how much would total interest be greater at an interest rate of 7 percent than at an interest rate of 5 percent? $arrow_forward23. You're deciding whether to pursue a Master's degree in Economics. With your Bachelor's degree, you'll earn $105,800 per year, but with a Master's degree, you'd earn $134,000 annually. Your degree depreciates at a rate of 2% per year, and the real interest rate is 2%. You should pursue the Master's degree if the present value of the cost of acquiring it is less than. the cost of a. $2,645,000; tuition b. $705,000; tuition c. $705,000; tuition and foregone income while completing the degree d. $2,645,000; tuition and foregone income while completing the degree which includesarrow_forwardThe table contains data on the relationship between saving and income. Rearrange these data into a meaningful order and graph them on the accompanying grid. What is the slope of the line? The vertical intercept? Write the equation that represents this line. What would you predict saving to be at the $12,500 level of income?arrow_forward
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