Statistics and Probability

I Find the future value of each annuity due. Then determine how much of this value is from contributions and how much is from interest. Payments of $5000 made at the beginning of each semiannual period for 7 years at 8.83% compounded semiannually Find the future value of each annuity due. Then determine how much of this value is from contributions and how much is from interest. Payments of 5300 made at the beginning of each quarterfor 15 years at 3.4% compounded quarterly A woman deposits $8000 at the end of each year for 13 years in an account paying 4% interest compounded annually (3) Find the nal amount she will have on deposits (b) Her brother-in-Iaw works in a bank that pays 3% compounded annually. If she deposits money in this bank instead of the other one, how much will she have in her account? (1:) How much would she lose over13 years by using her brother-in-law's bank? In order to accumulate enough money for a down payment on a house. a couple deposits $694 per month into an account paying 3% compounded monthly. If payments are made at the end of each period. how much money will be in the account in 7 years? 7% interest compounded quarterly. When she reaches age 60. she withdraws the entire amount and places it in a mutual fund account that pays 9% compounded monthly. From then on she deposits $200 in the same mutual fund at the end of each month How much is in the account when she reaches age 65? g Starting at age 50, a woman puts $1700 at the end of each quarter into a retirement account that pays Find the total in the account with the tollowing assumption of an interest rate. (Assume quarterly compounding, with payments of $2,000 made at the and or each quarter period.) Find the total amount 01' interest earned.7% E Suppose a 40-year-old person deposits $8.000 per year in an Individual Retirement Account until age 65. Michelle wants to have a $12000 clown payment when she buys a new car in 6 years. How much money must she deposit at the end of each quarter in an account paying 2.8% compounded quarterly so that she will have the down payment she desires? 6 Find the present vatue of an ordinary annuity which has payments of $600 per year for 19 years at 8% compounded annually. Find the present value of an ordinary annuity with payments of $13559 semiannually for 3 years at 5.2% compounded Semiannually