Please help by providing explanations/step-by-step processes for solutions. Thank you in advance!

1. You are 20 years old. Starting at age 70 (in 50 years), it is expected that you will begin to receive a $1,500 monthly check from Social Security. You expect to live until you are 86 years old. Assuming a discount rate of 5%, what is the value today of the expected stream of Social Security payments?

2. 5. Suppose an investment promises to pay you $10,000 annually into perpetuity, but the payment stream will not begin for 7 years. Assuming a discount rate of 6%, what is the value today of the expected stream of payments?

3. You are set to buy your first car. The Lexus IS costs $38,000, and you have decided to make a down payment of $3,500 and finance the remaining balance. The bank tells you that your monthly payment will be $540.54 on a 6-year loan. What is the interest rate on the loan?

4. How much would you have to deposit today to have $1 million in 30 years at 6% interest compounded quarterly?

5. A 25-year old individual begins a savings plan for retirement starting at age 65 (in 40 years). The individual wants to save enough such that she can spend $50,000 per year in retirement. She would like to design a plan to withdraw $12,500 every three months during retirement. Assuming an interest rate of 5% and a life expectancy of 90 years, how much would she have to save annually until retirement to meet her goal?