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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
TIME VALUE OF MONEY It is now January 1, 2009; and you will need $1,000 on January 1, 2013, in 4 years. Your bank compounds interest at an 8% annual rate.
a.       How much must you deposit today to have a balance of $1,000 on January 1, 2013?
b.      If you want to make four equal payments on each January 1 from 2010 through 2013 to accumulate the $1,000, how large must each payment be? (Note that the payments begin a year from today.)
c.       If your father offers to make the payments calculated in Part b ($221.92) or to give you
$750 on January 1, 2010 (a year from today), which would you choose? Explain.
d.      If you have only $750 on January 1, 2010, what interest rate, compounded annually for 3 years, must you earn to have $1,000 on January 1, 2013?
e.       Suppose you can deposit only $200 each January 1 from 2010 through 2013 (4 years). What interest rate, with annual compounding, must you earn to end up with $1,000 on January 1, 2013?
f.        Your father offers to give you $400 on January 1, 2010. You will then make six addi- tional equal payments each 6 months from July 2010 through January 2013. If your bank pays 8% compounded semiannually, how large must each payment be for you to end up with $1,000 on January 1, 2013?
g.      What is the EAR, or EFF%, earned on the bank account in Part f? What is the APR earned on the account?
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