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Suppose that under continuous compounding of interest, the effective rate is $6 \%$ per annum. Compute the nominal rate.

$r=0.05826=5.826 \%$

Algebra

Chapter 5

Exponential and Logarithmic Functions

Section 6

Compound Interest

Exponents and Polynomials

Functions

McMaster University

Harvey Mudd College

University of Michigan - Ann Arbor

Lectures

01:32

In mathematics, the absolu…

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01:50

Given a nominal rate of $6…

00:59

Find the effective rate of…

01:36

What rate of interest comp…

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00:55

Effective Rate Find the ef…

01:37

01:29

find the effective rate of…

01:19

00:45

Find the effective rate co…

00:28

All right. So the question we were asked to do here is we have to suppose the under continuous calm pounding interest, the effective rate is 6% per annum. We need to compute the no meal rate. So to calculate the amount in the account after a member of years, we have fallen form. The following form that we're going to use is a is equal to the principal times e u alors number to the power of our tea. So the effective rate is represented by the following turn or form. Sorry. 1.6 times p apply the rules, the image above and it follows that zero or 1.6 p is equal to p times he our terms one. So when we simplify, the expression is followed, we get one points here, sex is equal to e to the power of our so using the natural logger of them property for both sides. We find that our is equal to the lawn of 1.6 When we compute, this are is going to be equal to 0.58 to six or um, 5.8 to 6%. And that is the no meal rate of of the effective rate of 6%

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