You buy 200 shares at $15.25/share. Your investment gains 10% the first year, and then loses $1.00/share the second year. How much has your total investment increased by the second year?

1 answer

To find out how much the total investment has increased by the second year, let's first calculate the initial investment and then track its value after each year.

  1. Initial Investment: \[ \text{Initial price per share} = 15.25 \] \[ \text{Number of shares} = 200 \] \[ \text{Total initial investment} = 200 \times 15.25 = 3050 \]

  2. End of Year 1: The investment gains 10% in the first year. \[ \text{Gain} = 3050 \times 0.10 = 305 \] \[ \text{Total value after Year 1} = 3050 + 305 = 3355 \]

  3. End of Year 2: The investment loses $1.00 per share in the second year. \[ \text{Loss per share} = 1.00 \] \[ \text{Total loss for 200 shares} = 200 \times 1.00 = 200 \] \[ \text{Total value after Year 2} = 3355 - 200 = 3155 \]

  4. Increase in Total Investment: Now, we need to find out how much the total investment has increased over the two years. \[ \text{Increase} = \text{Total value after Year 2} - \text{Initial investment} = 3155 - 3050 = 105 \]

Thus, the total investment has increased by $105 by the end of the second year.