Suppose you have $10,000 to invest. Which of the two rates would yield the larger amount in 1 year: 12% compounded monthly or 11.86% compounded continuously? Click the icon to view some finance formulas. . Which of the two rates would yield the larger amount in 1 year? 12% compounded monthly 11.86% compounded continuously

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Suppose you have $10,000 to invest. Which of the two rates would yield the larger amount in 1 year: 12% compounded monthly or 11.86% compounded
continuously?
Click the icon to view some finance formulas.
Which of the two rates would yield the larger amount in 1 year?
12% compounded monthly
11.86% compounded continuously
Formulas
In the provided formulas, A is the balance in the account after t years, P is the
principal investment, r is the annual interest rate in decimal form, n is the number
of compounding periods per year, and Y is the investment's effective annual yield
in decimal form.
nt
A
A =
P =
A = Pet
Y =
- 1
nt
1+
Print
Done
Transcribed Image Text:Suppose you have $10,000 to invest. Which of the two rates would yield the larger amount in 1 year: 12% compounded monthly or 11.86% compounded continuously? Click the icon to view some finance formulas. Which of the two rates would yield the larger amount in 1 year? 12% compounded monthly 11.86% compounded continuously Formulas In the provided formulas, A is the balance in the account after t years, P is the principal investment, r is the annual interest rate in decimal form, n is the number of compounding periods per year, and Y is the investment's effective annual yield in decimal form. nt A A = P = A = Pet Y = - 1 nt 1+ Print Done
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