Unicom Bank offers loans at an 12% nominal rate but requires that interest be paid quarterly; that is, it uses quarterly compounding. A close competitor, Milan Bank wants to charge the same effective rate on its loans but it wants to collect interest on a monthly basis, that is, to use monthly compounding. What nominal rate must Milan Bank set? Please prove assuming any value for the Principal amount and the no of years that the interest rate charged by both the banks yield the same compound amount.

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter5: The Time Value Of Money
Section: Chapter Questions
Problem 31P
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Unicom Bank offers loans at an 12% nominal rate but requires that interest be paid quarterly; that is,
it uses quarterly compounding. A close competitor, Milan Bank wants to charge the same effective
rate on its loans but it wants to collect interest on a monthly basis, that is, to use monthly
compounding. What nominal rate must Milan Bank set? Please prove assuming any value for the
Principal amount and the no of years that the interest rate charged by both the banks yield the same
compound amount.
Transcribed Image Text:Unicom Bank offers loans at an 12% nominal rate but requires that interest be paid quarterly; that is, it uses quarterly compounding. A close competitor, Milan Bank wants to charge the same effective rate on its loans but it wants to collect interest on a monthly basis, that is, to use monthly compounding. What nominal rate must Milan Bank set? Please prove assuming any value for the Principal amount and the no of years that the interest rate charged by both the banks yield the same compound amount.
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