$14,336
Explanation:
Calculation to Determine the difference in the present worth values
First step is to calculate Contract 1 present worth values
Contract 1 present worth values = 10,000{1 – [(1 + 0.04)/(1 + 0.08)]^10}/(0.08 – 0.04)
Contract 1 present worth values = 10,000{1 – [(1.04)/(1 .08)]^10}/( 0.04)
Contract 1 present worth values = $78,590
Second step is to Contract 2 present worth values
Contract 2 present worth values
= 10,000{1 – [(1 +0.06)/(1 +0.08)]^11}/(0.08 – 0.06)=
Contract 2 present worth values
= 10,000{1 – [(1 .06)/(1 .08)]^11}/( 0.02)
Contract 2 present worth values = $92,926
Now let calculate the difference in the present worth values
Present worth values Difference =$92,926-$78,590
Present worth values Difference =$14,336
Therefore the difference in the present worth values will be $14,336