Step 1: Recall domestic interest rate relation.
In a small open economy with risk premium, domestic interest rate is
\[
r=r^*+\theta
\]
where \(\theta\) is the risk premium.
Step 2: Effect of increase in risk premium.
If risk premium increases, then
\[
\theta \uparrow \Rightarrow r \uparrow
\]
So, domestic interest rate increases.
Step 3: Impact on money market.
Money market equilibrium is
\[
\frac{M}{P}=L(r,Y)
\]
Since money demand decreases when interest rate rises, higher \(r\) reduces money demand.
Step 4: Restore money market equilibrium.
To restore money market equilibrium with fixed real money supply, income must rise because higher income increases money demand.
Thus,
\[
Y \uparrow
\]
Step 5: Analyze exchange rate effect.
Higher risk premium generally leads to depreciation, not appreciation, of the domestic currency.
Therefore, option (B) is incorrect.
Step 6: Check other options.
Domestic interest rate does not decline; it increases.
So, option (C) is incorrect.
Both IS and LM curves do not shift left.
So, option (D) is incorrect.
Step 7: Final conclusion.
Hence, income increases when the country risk premium increases.
\[
\boxed{\text{income increases}}
\]
Therefore, the correct option is (A).