Mr. Russell owns 1,235 shares of XYZ stock. On Monday, the stock decreased by $0.67 a share. On Tuesday, it decreased by $0.53 a share. What is the change in the value of stock shares for the two days?

The change in the value of stock shares for Monday is 1,235 * 0.67 = $<<1235*0.67=826.45>>826.45.

The change in the value of stock shares for Tuesday is 1,235 * 0.53 = $<<1235*0.53=654.55>>654.55.
Therefore, the change in the value of stock shares for the two days is 826.45 + 654.55 = $<<826.45+654.55=1481>>1481. Answer: \boxed{1481}.