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You are given the following return rates: Calendar Year of Original Investment Investment Year Rates (%) Portfolio Rate (%) i is 2000 6.0 6.5 6.5

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You are given the following return rates: Calendar Year of Original Investment Investment Year Rates (%) Portfolio Rate (%) i is 2000 6.0 6.5 6.5 7.0 2001 6.5 6.0 6.5 8.0 2002 6.5 7.0 8.0 7.5 2003 7.0 7.5 6.0 7.5 2004 6.5 6.0 6.5 7.0 2005 6.0 5.5 5.5 6.0 2006 7.0 5.5 6.5 5.5 2007 8.0 7.0 7.5 6.5 2008 7.5 7.0 8.0 2009 6.5 6.5 2010 7.0 $1000 is deposited on January 1, 2004. Let the following be the accumulated value of the $1000 on January 1, 2009: X: using the investment year / new money method Y: using the portfolio yield method Z: using the investment year / new money method, but the balance is withdrawn on December 31st of each year and then redeposited on January 1st of the following year Rank the accumulated values of X, Y, and Z. You are given the following return rates: Calendar Year of Original Investment Investment Year Rates (%) Portfolio Rate (%) i is 2000 6.0 6.5 6.5 7.0 2001 6.5 6.0 6.5 8.0 2002 6.5 7.0 8.0 7.5 2003 7.0 7.5 6.0 7.5 2004 6.5 6.0 6.5 7.0 2005 6.0 5.5 5.5 6.0 2006 7.0 5.5 6.5 5.5 2007 8.0 7.0 7.5 6.5 2008 7.5 7.0 8.0 2009 6.5 6.5 2010 7.0 $1000 is deposited on January 1, 2004. Let the following be the accumulated value of the $1000 on January 1, 2009: X: using the investment year / new money method Y: using the portfolio yield method Z: using the investment year / new money method, but the balance is withdrawn on December 31st of each year and then redeposited on January 1st of the following year Rank the accumulated values of X, Y, and Z

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