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GMG Studios plans to invest $55,000 at the end of each year for the next five ye

ID: 2570590 • Letter: G

Question

GMG Studios plans to invest $55,000 at the end of each year for the next five years. There are three investment options available. Interest Period Annual Rate Compounded Invested Option 1 Option 2 Option 3 Annually Annually Annually 5 years 5 years 5 years 5% 10 Required: Determine the accumulated investment amount by the end of the fifth year for each of the options. (FV of S1, PV of $1, FVA of $1, and PVA of $1) (Use appropriate factor(s) from the tables provided Round your answers to 2 decimal places.) Accumulated investment amount Option 1 Option 2 Option 3

Explanation / Answer

Option 1 : Annual interest Rate = 5% Per Annum Years Invested amount Interest Rate @ 5%   Cumulative Balances 1 $               55,000.00 $                        -   $                  55,000.00 2 $               55,000.00 $                 2,750 $              1,12,750.00 3 $               55,000.00 $                 5,638 $              1,73,387.50 4 $               55,000.00 $                 8,669 $              2,37,056.88 5 $               55,000.00 $               11,853 $              3,03,909.72 Option 2 : Annual interest Rate = 7% Per Annum Years Invested amount Interest Rate @ 7%   Cumulative Balances 1 $               55,000.00 $                        -   $                  55,000.00 2 $               55,000.00 $                 3,850 $              1,13,850.00 3 $               55,000.00 $                 7,970 $              1,76,819.50 4 $               55,000.00 $               12,377 $              2,44,196.87 5 $               55,000.00 $               17,094 $              3,16,290.65 Option 3 : Annual interest Rate = 10 % Per Annum Years Invested amount Interest Rate @ 10%   Cumulative Balances 1 $               55,000.00 $                        -   $                  55,000.00 2 $               55,000.00 $                 5,500 $              1,15,500.00 3 $               55,000.00 $               11,550 $              1,82,050.00 4 $               55,000.00 $               18,205 $              2,55,255.00 5 $               55,000.00 $               25,526 $              3,35,780.50 Accumulated investement amount Option 1 $            3,03,909.72 Option 2 $            3,16,290.65 Option 3 $            3,35,780.50