Final answer:
If domestic investment rises by $50 billion, private savings increases by $10 billion, and public savings decreases by $10 billion, the trade deficit would increase by $50 billion.
Step-by-step explanation:
In a period of trade deficit, if domestic investment rises by $50 billion, private savings increases by $10 billion, and public savings decreases by $10 billion, then the trade deficit would increase by $50 billion.
This can be explained by the national savings and investment identity, which states that savings equals investment. When domestic investment increases, it means that there is a higher demand for financial capital, leading to an increase in the trade deficit as the country needs to borrow more from abroad to fund the investment.
The rise in private savings by $10 billion offsets part of the increase in the trade deficit, but the overall result is still an increase in the deficit by $50 billion.