George buys a car every 6 years for $18,000. He trades in his current car to count as the 20% down payment. The rest is financed at a nominal 12% in- terest with monthly payments over 6 years. When the loan is paid off, he trades in the car as the "20%" down payment on the next car, which he finances the same way. Jeanette has similar tastes in cars, and the dealer will count her trade-in vehicle as worth 20%. She has cash for old cars in the past, so she now has paid $14,400 in cash for the other 80% cost of a new car. In 6 years, her vehicle will be worth the "20%" down payment. She wants to make a monthly deposit so that she has the other 80% of the vehicle's cost in 6 years. Her savings account has a nominal annual interest rate of 6% with monthly compounding. What is George's payment? What is Jeanette's deposit? If Jeanette also deposits the difference in a retirement account that pays 9% nominal interest with monthly compounding, what does she have for retirement after 40 years?

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
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6.53 George buys a car every 6 years for $18,000. He
trades in his current car to count as the 20% down
payment. The rest is financed at a nominal 12% in-
terest with monthly payments over 6 years. When the
loan is paid off, he trades in the car as the "20%"
down payment on the next car, which he finances the
same way.
Jeanette has similar tastes in cars, and the dealer
will count her trade-in vehicle as worth 20%. She has
paid cash for old cars in the past, so she now has
$14,400 in cash for the other 80% cost of a new car.
In 6 years, her vehicle will be worth the "20%" down
payment. She wants to make a monthly deposit so
that she has the other 80% of the vehicle's cost in
6 years. Her savings account has a nominal annual
interest rate of 6% with monthly compounding.
What is George's payment? What is Jeanette's
deposit? If Jeanette also deposits the difference in a
retirement account that pays 9% nominal interest
with monthly compounding, what does she have for
retirement after 40 years?
Transcribed Image Text:6.53 George buys a car every 6 years for $18,000. He trades in his current car to count as the 20% down payment. The rest is financed at a nominal 12% in- terest with monthly payments over 6 years. When the loan is paid off, he trades in the car as the "20%" down payment on the next car, which he finances the same way. Jeanette has similar tastes in cars, and the dealer will count her trade-in vehicle as worth 20%. She has paid cash for old cars in the past, so she now has $14,400 in cash for the other 80% cost of a new car. In 6 years, her vehicle will be worth the "20%" down payment. She wants to make a monthly deposit so that she has the other 80% of the vehicle's cost in 6 years. Her savings account has a nominal annual interest rate of 6% with monthly compounding. What is George's payment? What is Jeanette's deposit? If Jeanette also deposits the difference in a retirement account that pays 9% nominal interest with monthly compounding, what does she have for retirement after 40 years?
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