Question
1. (a) A bank account pays 5.5% annual interest, compounded monthly. How long will it take the money to double in this account? (b) An
1. (a) A bank account pays 5.5% annual interest, compounded monthly. How long will it take the money to double in this account?
(b) An investment offers to double your money in 5 years, what the APR are you being offered?
2. A bank offers a savings account with a 6% annual interest rate, compounded monthly. Stu wants to open a savings account and make one deposit now that will enable him to withdraw $700 to go on vacation 5 months from now and $2000 for a deposit on a rental apartment when he starts working in 3 years from now. How much money does Stu need to deposit now?
3. Mr. Smith has arranged for a mortgage loan of $200,000. The annual rate on the loan is 12%. The bank requires Mr. Smith to make payments of $4,212.90 at the end of every month. How many payments will Mr. Smith have to make?
4. You have decided to buy a car, the price of the car is $18,000. The car dealer presents you with two choices: (A) Purchase the car for cash and receive $2000 instant cash rebate your out of pocket expense is $16,000 today.
(B) Purchase the car for $18,000 with zero percent interest 36-month loan with monthly payments. Market interest rate is 4%. Which option above is cheaper? How much do you save
Future and Present Value 1. =(1+)
2. = (1+)
3. =(1+) 1
4. =()1
5. =()
(1+)
Annuity
-
=[1 1 ]
-
= [1 1 ]
(1+)
-
= [()()]
(1+)
-
=[(1+)1]
Annuity Due 5. =[1 1 ](1+)
6. =[(1+) 1](1+)
EAR & APR
1. = (1+) 1
2. =[(1+) 1]
(1+)
(1+)
1
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