1) Beginning June 30 , 1992 , and every three months until December 31 , 1996 , Laura deposits 300 into her savings account . Starting September 30 , 1997 , she makes quarterly withdrawals of $ 500 . What is the balance in her account after the withdrawal of June 30 , 1999 , if interest is at j 4 =8% until March 31 , 1995 , andj 4 =6% afterward ?

2) A man wants to accumulate a $ 200 000 retirement fund . He plans to make the first deposit on March 1 , 1984 and the last on September 1 , 2005. Find the of each deposit , if he makes the deposits ( a ) semiannually in a fund pays 12 1 \2 % per annum compounded semiannually ( monthly in a fund that pays 12 1 \2 % per annum compounded monthly ?

3)( a ) Barbara wants to accumulate $ 10 000 by the end of 10 years . She starts making quarterly deposits in her savings account , which pays j 4 =8%. Find the size of these deposits . ( b) After 4 years , the bank changes the rate toj 4 =6%. Find the size of the quarterly deposits now required if the $ 10 000 goal is to be met?

4)To prepare for early retirement , a self - employed consultant deposits $ 5500 into a retirement savings plan each year for 20 years , starting on her 31st birthday . When she is 51 , she wishes to draw out 30 equal annual payments . What is the size of each withdrawal , if j 1 =12 % for the first 10 - year period ,j 1 =10% for the next 10 - year period , andj 1 =11% for the 30 - year retirement period?