In the long run, a permanent increase in the level of money supply

A$)$ has an ambiguous effect on the long$-$run values of the interest rate and output, and

leads to a proportional decrease in the long$-$run price level.

B$)$ has a proportional effect on the long$-$run values of the interest rate and output, and

leads to a proportional increase in the long$-$run price level

C$)$ has no effect on the long$-$run values of the interest rate and output, and leads to a

proportional increase in the long$-$run price level

D$)$ has no effect on the long$-$run values of the interest rate and output, and does not

change the long$-$run price level

E$)$ has an ambiguous effect on the long$-$run values of the interest, output, and the long$-$

run price level