Estimated cost of roof in the 9th year = $9,500
Interest rate = 6% compounded quarterly
Interest rate is compounded quarterly so it has to be divided by 4.
Adjusted interest rate (i) = 6/4 = 1.5%
Time period = 9 years
Interest rate is compounded quarterly so it has to be multiplied by 4.
Adjusted time period = 9 * 4 = 36
Calculate the amount to be invested today -
Amount to be invested today = Estimated cost of roof in the 9th year/(1+i)n
Amount to be invested today = $9,500/(1+0.015)36
Amount to be invested today = $9,500/(1.015)36
Amount to be invested today = $9,500/1.709139538
Amount to be invested today = $5,558.35
Thus,
Amount to be invested is $5,558.35
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