ENGINEERING ECO ANALYSIS W/STUDY GUIDE
ENGINEERING ECO ANALYSIS W/STUDY GUIDE
13th Edition
ISBN: 9780190693053
Author: NEWNAN
Publisher: Oxford University Press
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Chapter 7, Problem 88P
To determine

(a)

The annual percentage rate.

Expert Solution
Check Mark

Answer to Problem 88P

The annual percentage rate is 9.4%.

Explanation of Solution

Given:

The loan amount is $18000.

The time period is 60 months.

The interest rate is 9%.

Concept used:

Write the expression for loan origination fee of 2 points.

F=2%×A ......(I)

Here, the loan origination fee is F and the loan amount is A.

Write the expression for the interest paid.

I=i×A ......(II)

Here, the interest paid is I and the interest rate is i.

Write the expression for the total cost of the loan.

L=F+I ......(III)

Here, the total cost of the loan is F.

Write the expression for the Annual Percentage Rate.

APR=i×LI ......(IV)

Here, the annual percentage rate is APR.

Calculations:

Calculate the loan origination fee of 2 points.

Substitute $18000 for A in Equation (I).

F=2%×$18000=2100×$18000=$360

Calculate the interest paid in 5 years.

Substitute $18000 for A and 9% for i in Equation (II).

I=9%×$18000=9100×$18000=$8100

Calculate the total cost of the loan.

Substitute $8100 for I and $360 for F in Equation (III).

L=$8100+$360=$8460

Calculate the Annual Percentage Rate.

Substitute $8100 for I, 9% for i and $8460 for L in Equation (IV).

APR=9%×$8460$8100=9100×$8460$8100=9.4%.

Conclusion:

Thus, the value of annual percentage rate is 9.4%.

To determine

(b)

The annual percentage rate.

Expert Solution
Check Mark

Answer to Problem 88P

The annual percentage rate is 23.5%.

Explanation of Solution

Given:

The loan amount is $18000.

The time period is 24months.

The interest rate is 9%.

Concept used:

Write the expression for the interest rate.

i=IA×100 ......(V)

Here, the interest for each year is I.

Calculations:

Calculate the loan origination fee of 2 points.

Substitute $18000 for A in Equation (I).

F=2%×$18000=2100×$18000=$360

Calculate the interest paid in 2 years.

Substitute $18000 for A and 9% for i in Equation (II).

I=9%×$18000=9100×$18000=$8100

Calculate the total cost of the loan.

Substitute $8100 for I and $360 for F in Equation (III).

L=$8100+$360=$8460

Calculate the interest for each year.

I=$84602=$4230

The interest for each year is $4230.

Calculate the annual percentage rate.

Calculate the interest percentage for each year.

Substitute $4230 for I and $18000 for A in Equation (V).

i=$423018000×100=23.5%.

Conclusion:

Thus, the value of annual percentage rate is 23.5%.

To determine

(c)

The graph for the effective interest rate with time to sell the car and pay-off the loan.

Expert Solution
Check Mark

Explanation of Solution

The graph of effective interest rate with time to sell car and pay-off the loan is shown below.

ENGINEERING ECO ANALYSIS W/STUDY GUIDE, Chapter 7, Problem 88P

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ENGINEERING ECO ANALYSIS W/STUDY GUIDE

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