At the beginning of the day, the sum of the stocks in the dow jones was $10,289.57. at the end of the day, the sum of the stocks in the dow jones was $10,124.19. what was the rate of change of the dow jones on this particular day?

Given:
Beginning value = 10,289.57
Ending value = 10,124.19

10,289.57 - 10,125.19 = 164.38 decrease in value
164.38 / 10,289.57 = 0.01597
0.01597 x 100% = 1.597% 

The rate of change of the Dow Jones on this particular day is a decrease of 1.597% or - 1.597%  or  - 159.7 basis points.