2. Your neighbor is buying a new electric car. He has the following options to finance the purchase: I. Pays $10,000 today (in time 0) and $60,000 in two years (time 2) II. Make payments under an increasing schedule as follows: Time 0 $7,000 Time 1 $9,000 Time 2 Time 3 Time 4 Time 5 $11,000 $13,000 $15,000 $17,000 III. Make 72 monthly payments over 6 years of $1,100 payable at the end of each month. (a) If the annual interest rate is 7%, calculate the present value of each option. (b) At what interest rate do Option II and Option III have the same present value?
2. Your neighbor is buying a new electric car. He has the following options to finance the purchase: I. Pays $10,000 today (in time 0) and $60,000 in two years (time 2) II. Make payments under an increasing schedule as follows: Time 0 $7,000 Time 1 $9,000 Time 2 Time 3 Time 4 Time 5 $11,000 $13,000 $15,000 $17,000 III. Make 72 monthly payments over 6 years of $1,100 payable at the end of each month. (a) If the annual interest rate is 7%, calculate the present value of each option. (b) At what interest rate do Option II and Option III have the same present value?
Chapter4: Time Value Of Money
Section: Chapter Questions
Problem 2STP
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![2. Your neighbor is buying a new electric car. He has the following options to finance the
purchase:
I. Pays $10,000 today (in time 0) and $60,000 in two years (time 2)
II. Make payments under an increasing schedule as follows:
Time 0
$7,000
Time 1
$9,000
Time 2
$11,000
Time 3
$13,000
Time 4
$15,000
Time 5
$17,000
III. Make 72 monthly payments over 6 years of $1,100 payable at the end
of each month.
(a) If the annual interest rate is 7%, calculate the present value of each option.
(b) At what interest rate do Option II and Option III have the same present value?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7a0d4915-7a7e-40a4-9b8d-cbb54bdfde13%2F03a661c4-4077-406d-aede-94978ac8d2ef%2Fuv83vi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. Your neighbor is buying a new electric car. He has the following options to finance the
purchase:
I. Pays $10,000 today (in time 0) and $60,000 in two years (time 2)
II. Make payments under an increasing schedule as follows:
Time 0
$7,000
Time 1
$9,000
Time 2
$11,000
Time 3
$13,000
Time 4
$15,000
Time 5
$17,000
III. Make 72 monthly payments over 6 years of $1,100 payable at the end
of each month.
(a) If the annual interest rate is 7%, calculate the present value of each option.
(b) At what interest rate do Option II and Option III have the same present value?
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