You win $38,000 in the state lottery to be paid in two installments: $19,000 now and $19,000 one year from now. A friend offers you $36,000 in return for your two lottery payments. Instead of accepting your friend's offer, you take out a one-year loan at an interest rate of 15.25% per year, compounded annually. The loan will be paid back by a single payment of $19,000 (your second lottery check) at the end of the year. What is the present value of $19,000 one year from now?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Hello, I need the present value and which is better, friend’s offer or the loan. Thanks
You win $38,000 in the state lottery to be paid in two installments:
$19,000 now and $19,000 one year from now.
A friend offers you $36,000 in return for your two lottery payments.
Instead of accepting your friend's offer, you take out a one-year loan
at an interest rate of 15.25% per year, compounded annually. The loan
will be paid back by a single payment of $19,000 (your second lottery
check) at the end of the year.
What is the present value of $19,000 one year from now?
Transcribed Image Text:You win $38,000 in the state lottery to be paid in two installments: $19,000 now and $19,000 one year from now. A friend offers you $36,000 in return for your two lottery payments. Instead of accepting your friend's offer, you take out a one-year loan at an interest rate of 15.25% per year, compounded annually. The loan will be paid back by a single payment of $19,000 (your second lottery check) at the end of the year. What is the present value of $19,000 one year from now?
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