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Find the future value F for a systematic savings plan with the given deposits made at the ends of the compounding periods for the time
Find the future value F for a systematic savings plan with the given deposits made at the ends of the compounding periods for the time period and interest rate specified: D = $700, t = 10 years, r = 11% compounded monthly 2) Find the amount of each deposit D for a systematic savings plan with the deposits made at the ends of the compounding periods given the future value, time period, and interest rate specified: F = $40,000, t = 11 years, r = 5% compounded quarterly F = $3,000,000, t = 40 years, r = 6.2% compounded monthly 3) A woman has $75 deducted from her paycheck at the end of each month and put into a savings account earning 9% interest compounded monthly. She continues these deposits for 10 years. a) How much will the account be worth after 10 years? b) How much of the future value will be from deposits? c) How much of the future value will be from interest? 4) Suppose a 27-year-old man bought an annuity (a systematic savings plan) through the Jackson National Life Insurance Company in 1997. The plan calls for deposits of $100 at the end of each month and pays an interest rate of 6.25% compounded monthly. a) How much will the annuity be worth when the man is 65 years old in 2035? b) How much of the future value will be from deposits? c) How much of the future value will be from interest? 5) A young GFU grad hopes to have $24,000 available to be used toward the down payment on a house in 3 years (a wise idea). If they can invest the money in an account earning 6.4% interest compounded quarterly, how much should they deposit each quarter so that you will have $24,000 in 3 years? 6) A couple predicts that they will need to save $150,000 for their childs college education, and they predict that they will be able to earn about 9% interest, compounded monthly, on their investments. a) If they begin the deposits at the end of each month when their child is a new-born, so that they have 18 years of deposits, how large must each deposit be? b) If they do not begin making deposits until the child is 10 years old, so that they have only 8 years of deposits, how large must each deposit be? Solving for time (not assigned...yet :-)) 7) Find the time t, in years, for a systematic savings plan with the given deposits made at the ends of the compounding periods to reach the given future value under the specified interest rate: D = $75, F = $1200, r = 6% compounded monthly 8) A family wants to save $7000 to use toward the purchase of a piano. If they deposit $600 at the end of each quarter into an account earning 9% interest compounded quarterly, how long will it take for them to save $7000
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