Assume that the amount of money deposited in a bank is proportional to the square of the interest rate the bank pays on the money. Furthermore, the bank can reinvest the money at 21% simple interest. Find the interest rate the bank should pay to maximize its profit.

Principles of Economics 2e
2nd Edition
ISBN:9781947172364
Author:Steven A. Greenlaw; David Shapiro
Publisher:Steven A. Greenlaw; David Shapiro
Chapter17: Financial Markets
Section: Chapter Questions
Problem 39P: How much money do you have to put into a bank account that pays 10% interest compounded annually to...
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Assume that the amount of money deposited in a bank is proportional to the square of the interest rate the bank pays on the money. Furthermore, the bank can reinvest the
money at 21% simple interest. Find the interest rate the bank should pay to maximize its profit.
%
Transcribed Image Text:Assume that the amount of money deposited in a bank is proportional to the square of the interest rate the bank pays on the money. Furthermore, the bank can reinvest the money at 21% simple interest. Find the interest rate the bank should pay to maximize its profit. %
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