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Ralph Benke wants to make 8 equal semiannual withdrawals of $8,000 from a fund that will...

Ralph Benke wants to make 8 equal semiannual withdrawals of $8,000 from a fund that will earn interest at 11% compounded semiannually. Required: How much would Ralph have to invest on: Round your answers to two decimal places. January 1, 2016, if the first withdrawal is made on July 1, 2016 $ 50,676.53 July 1, 2016, if the first withdrawal is made on July 1, 2016 $ January 1, 2016, if the first withdrawal is made on January 1, 2019 $

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Answer #1

Semiannual rate = 11*6/12=5.5%

Assuming today is Jan 1 2016

July 1 2016 Jan 1,2016
Amount to invest PVA5.5%,8*Amount PVAD5.5%,8*Amount
6.33457*8000 6.68297*8000
$ 50676.56 $ 53463.76

***Find present value annuity factor (both ordinary and annuity due )using financial calculator or from their table respectively

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