# 1. Find the effective rate equivalent to: A. 8% compounded quarterly B. 12% compounded monthly 2. Find the nominal rate compounded quarterly is equivalent to an effective rate of 8%

Answers: 2

## Answers

1. Find the effective rate equivalent to: A. 8% compounded quarterly B. 12% compounded monthly
2....

Problem:

1. Find the effective rate equivalent to: A. 8% compounded quarterly B. 12% compounded monthly

2. Find the nominal rate compounded quarterly is equivalent to an effective rate of 8%

answer & Solution:

1.

A. Y=(1+i)^(m)-1

Y=(1+.02) ⁴-1

Y=1.02)⁴-1

Y=1.08243216-1

Y=0.08243216

Y=8.24% compounded quarterly

B. Y=(1+i)^(m)-1

Y=(1+.01)¹²-1

Y=(1.01)¹²-1

Y=1.1268250302-1

Y=0.1268250302

Y=12.68% compounded monthly

2. J=m[(1+y)¹/m-1]

J=4[(1+.08)¹/⁴-1]

J=4[(1.08)¹/⁴-1]

J=4(1.019426547-1)

J=4(0.019426547)

J=0.077706188

J=7.77%

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begin by multiplying both sides by the lcd, x(x+1) x ( x + 1 ) . after distributing and dividing out the common factors, a quadratic equation remains. a complete list of steps for solving a rational equation is outlined in the following example. example 3: solve: xx+2+2x2+5x+6=5x+3 x x + 2 + 2 x 2 + 5 x + 6 = 5 x + 3

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