In: Statistics and Probability
Dean takes his boat out fishing every weekend. His current boat
is still in okay condition,...
Dean takes his boat out fishing every weekend. His current boat
is still in okay condition, but he decides he’d like to buy a new
one. He finds the boat of his dreams for $20,950. He does some
research and finds that his credit union will give him a 5-year
loan with an APR of 4.25% if he makes a down payment of 18%.
- What is the amount of Dean’s
down-payment?
- What is the loan amount that Dean will be financing?
- What will his monthly payments be on the loan?
- What is the total amount Dean will pay for his boat if he
finances the purchase?
- How much interest will Dean pay the credit union over the life
of the loan?
Sam, Dean’s younger brother, tries to convince Dean to save up
for a new boat instead of getting a loan. He tells Dean that the
credit union has a savings account option that offers an APR of
1.2% compounded monthly, so long as the account maintains a minimum
balance of $2000.
- Since Dean has the down payment amount already, if he uses that
to start a savings account with the credit union, then adds $200 to
the account each month, how much will he have at the end of 5
years?
- If Dean starts the savings account with his down payment money,
how much would he have to deposit each month for 5 years to end up
with the $20,950 he needs for the boat of his dreams?
- If Dean follows the savings plan from problem 7, how much total
will he have deposited into the savings account at the end of the 5
years?
- If Dean follows the savings plan from problem 7, how much
interest will he have earned in the savings account over the course
of the 5 years?
- Compare the total Dean would pay on the loan to the total Dean
would deposit into the savings account. How much would Dean save by
going with the savings option?
- If Dean decides he wants to save up for the boat as fast as
possible, how long would it take the account to reach the full
value of $20,950 if he uses the down payment money to start the
account then adds $400 each month? Give the answer as years with 2
decimal places!
@ Write several paragraphs discussing
the advantages and disadvantages of both methods for Dean. Explain
the reasons a person might choose to finance a purchase and the
reasons that a person might choose to save up for a purchase. If
you were in Dean’s position, what would you do and why?
Be sure to use your work and answers from the proceeding
questions to support your explanations and assertions.
I really need the last part.
Please, write at least three paragraphs and your own
words in detail question.
THANKS.