Answer: unchanged
Step-by-step explanation:
The formula for calculating the GDP price deflator is:
= (Nominal GDP / Real GDP) × 100
Let's assume that the nominal GDP and the real GDP is $100 million. Then if they drop by 10%, they will both be $90 million, then the deflator will be:
= (90m / 90m) × 100
= 100
Therefore, the GDP deflator will be unchanged.