For winners of the California SuperLotto Plus, the choice is between a lump sum immediately, or annual payments that increase from 2.5% of the prize value for the first year to 2.7% for the second year and then increase by 0.1% per year to 5.1% for the 26th payment. The lump sum is a fraction of the prize value. This fraction is estimated at 45% and 55% of the prize value amount. Write the equations to solve the following questions. It isn't necessary to solve them. a) At what interest rate is the present worth of the two payment plans equivalent if the fraction is 45%? b) If it is 55%?
Added by -Ngel C.
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The present value of an annuity (a series of equal payments at regular intervals) can be calculated using the formula for the present value of an annuity. However, since the payments in this scenario increase annually, we'll need to calculate the present value of Show more…
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