Two commodities which are normal distributed and perfectly correlated

The daily price change in commodity 1 is distributed $$N(0,0.15^2)$$ and the daily price change in commodity 2 is distributed $$N(0,0.3^2)$$. The two commodities are 100% correlated.

1) Does the relative value of commodity 1 vs commodity 2 change over the next year?

I would have thought no as the relative value is distributed $$N(0-0,0.15^2+0.3^2)$$ but a quick sketch of the problem suggests otherwise.

2) Is the change of value of commodity 1 the same as the change of value of 2x commodity 2? or the change of value of 2x commodity 1 the same as the change of value of commodity 2?

My first thought here is that is cant be as we are sampling from a curved distribution, but then they are perfectly correlated. Anyone answer this better?

$$Y|X \sim N\left(\mu_y+\rho \sigma_y \frac{x-\mu_x}{\sigma_x}, \sigma_y^2 \left(1-\rho^2\right) \right)$$
$$Y|X \sim N\left(\sigma_y \frac{x}{\sigma_x}, 0\right)$$