During a 3-year period when his business was prospering, Jack was able to deposit $1,000 at the end of each month in  an  account  earning  12  percent  compounded  monthly.   The  business  slackened,  and  jack  could  not  continue the deposits.  Moreover, the interest rate on his accumulated deposits fell to 8 percent compounded quarterly and remained at this level for 10 years, at which time Jack decided to exhaust the account by withdrawing equal amounts at the end of every 6 months for 5 years.  The interest rate remained at 8 percent compounded semiannually over the time of the withdrawals.  How much did Jack withdraw every 6 months ?   solving these math details

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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During a 3-year period when his business was prospering, Jack was able to deposit $1,000 at the end of each month in  an  account  earning  12  percent  compounded  monthly.   The  business  slackened,  and  jack  could  not  continue the deposits.  Moreover, the interest rate on his accumulated deposits fell to 8 percent compounded quarterly and remained at this level for 10 years, at which time Jack decided to exhaust the account by withdrawing equal amounts at the end of every 6 months for 5 years.  The interest rate remained at 8 percent compounded semiannually over the time of the withdrawals.  How much did Jack withdraw every 6 months ?

 

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