I have 3 problems here, hope you could help me:

1.. A couple will retire in 50 years; they plan to spend about $30,000 a year in retirement, which should last about 25 years. They believe that they can earn 8% interest on retirement savings.

a. If they make annual payments into a savings plan, how much will they need to save each year? Assume the first payment comes in 1 year.

b. How would the answer to part (a) change if the couple also realize that in 20 years they will need to spend $60,000 on their child's college education?

2.. You believe you will need to have saved $500,000 by the time you retire in 40 years in order to live comfortably. You also believe that you will inherit $100,000 in 10 years. If the interest rate is 6% per year, how much must you save each year to meet your retirement goal?

3.. you plan to retire in 30 years and want to accumulate enough by then to provide yourself with $30,000 a year for 15 years.

a. If the interest rate is 10%, how much must you accumulate by the time you retire?

b. How much must you save each year until retirement in order to finance your retirement consumption?

c. Now you remember that the annual inflation rate is 4%. If a loaf of bread costs $1 today, what will it cost by the time you retire?

d. You really want to consume $30,000 a year in real dollars during retirement and wish to save an equal real amount each year until then. What is the real amount of savings that you need to accumulate by the time you retire?

e. Calculate the required preretirement real annual savings necessary to meet your consumption goals.

f. What is the nominal value of the amount you need to save during the first year? (Assume the savings are put aside at the end of each year.)

g. What is the nominal value of the amount you need to save during the 30th year?