calculating change of rate over course of a week

Question

A stock experiences the following changes over the course of a week:

Monday - grows by 6%

Tuesday - declines by 4%

Wednesday - grows by 10%

Thursday - declines by 5%

Friday - declines by 2%

By what percent did the stock change value over the course of the entire week?

Answer 1

Let S be the value of the stock

It's value on Monday is S x (1 + .10 ) = S x 1.10 Its value in Tuesday is

[ ( s x 1.10 ) x ( 1 - .04 ) = S x 1.10 x .96 Similarly the value on Friday is

S x 1.10 x .96 x 1.10 x .95 x .98 = S x 1.042 Increases by 4.2%