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A person deposits $10,000 on January 1, 2007 earning interest at the rates given 2 i4+5 Calendar Year of Original Investment Y 2007 2008 2009

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A person deposits $10,000 on January 1, 2007 earning interest at the rates given 2 i4+5 Calendar Year of Original Investment Y 2007 2008 2009 2010 2011 Portfolio Rates Investment Year Rate (in %) (in %) i in is i it 9.25 8.75 8.70 8.75 9.50 9.35 8.75 9.10 9.75 8.90 9.00 8.95 9.40 9.40 9.70 9.70 9.95 10.50 9.20 9.65 9.85 9.70 9.80 10.10 10.55 10.45 10.85 9.45 9.70 10.35 in the above table. Let P be the accumulated value under the investment year method, Q the accumulated value under the portfolio yield method, and R where the balance is withdrawn at the end of every year and is invested at the new money rate. Find the value of P, Q, and R on January 1, 2012 A person deposits $10,000 on January 1, 2007 earning interest at the rates given 2 i4+5 Calendar Year of Original Investment Y 2007 2008 2009 2010 2011 Portfolio Rates Investment Year Rate (in %) (in %) i in is i it 9.25 8.75 8.70 8.75 9.50 9.35 8.75 9.10 9.75 8.90 9.00 8.95 9.40 9.40 9.70 9.70 9.95 10.50 9.20 9.65 9.85 9.70 9.80 10.10 10.55 10.45 10.85 9.45 9.70 10.35 in the above table. Let P be the accumulated value under the investment year method, Q the accumulated value under the portfolio yield method, and R where the balance is withdrawn at the end of every year and is invested at the new money rate. Find the value of P, Q, and R on January 1, 2012

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