Hello I need help with a finance homework, some work will need to be shown in order to get credit for the problem thanks.

1. 1. You plan to deposit $1,200 at the end of each year for the next 40 years into an account. You expect to earn a 6% return, compounded annually, on these savings. a. a. In total, how much will you deposit into this account over the next 40 years? b. b. How large do you expect your account balance to be on the day you retire? 1. 2. You plan to deposit $100 at the end of each month for the next 40 years into an account. You expect to earn a 6% return, compounded monthly, on these savings. a. a. In total, how much will you deposit into this account over the next 40 years? b. b. How large do you expect your account balance to be on the day you retire? a. c. Is your answer to (2.b.) more or less than your answer to (1.b.)? Briefly explain any difference between these two amounts. 1. 3. You would like to purchase a car that costs $35,000. To fund this purchase, you will take out a loan from a bank offering an APR of 4% with monthly compounding. a. a. What is the effective annual interest rate this bank is offering? b. b. What will your payments be if you repay the loan over a 5 year period? 1. 4. A car dealer trying to sell you a car offers you a choice of two payment plans: 2. Plan 1 - monthly payments of $472.50 for 5 years. Plan 2 - monthly payments of $590.00 for 4 years. Each payment plan requires a down-payment of $5,000. If banks currently offer an APR of 4% with monthly compounding, which payment plan would you prefer? 1. 5. By the day you retire, you expect that you will have $2 million saved in a retirement account. You expect to live for 30 years in retirement, and plan to leave an inheritance of $1 million on the day you die to your children. If you can earn an APR of 8%, with monthly compounding, on your savings, what size withdrawals can you make from this account at beginning of each month of retirement? 1. 6. Credit cards typically charge an APR of 18% (or higher), and compound interest daily. What is the effective cost of a typical credit card on an annual basis