If GDP increases by 5 percent in the same that the deficit is run, What happens to gross debt as a percentage of GDP? What happens to the level of debt held by the public as a percentage of GDP?

deficit was $300 billion

To determine the effects on gross debt as a percentage of GDP and the level of debt held by the public as a percentage of GDP, we need more information about the starting values of both variables. Without knowing the initial GDP, gross debt, or debt held by the public, we cannot calculate the exact percentage changes caused by a 5% increase in GDP or the deficit.

However, I can provide you with the general concept. When GDP increases by 5%, and assuming the deficit is run, the ratio of gross debt to GDP will generally decrease. This is because with a higher GDP, the percentage of debt as compared to the overall economy is reduced. Conversely, the level of debt held by the public as a percentage of GDP might also decrease if the increase in GDP outpaces the increase in the deficit. If the deficit grows at a higher rate than GDP, the debt held by the public might increase as a percentage of GDP.

To determine the impact of a 5 percent increase in GDP on the gross debt as a percentage of GDP, additional information is needed:

1. The starting values of the gross debt and GDP.
2. The relationship between the deficit and the change in gross debt.
3. The relationship between the deficit and the change in debt held by the public.

Assuming no explicit information is provided about the starting values of the gross debt and GDP, and the relationship between the deficit and the change in gross debt or debt held by the public, I cannot give a specific answer. However, I can explain how you can calculate these changes.

1. Impact on Gross Debt as a Percentage of GDP:
- Determine the starting level of gross debt (e.g., $X trillion).
- Calculate the change in GDP due to a 5 percent increase (e.g., if GDP was $Y trillion, the increase would be 0.05 * $Y trillion).
- Calculate the change in gross debt due to the deficit (e.g., if the deficit was $300 billion, the change in gross debt would be $300 billion).
- Add the change in gross debt to the starting gross debt to get the new gross debt level.
- Express the new gross debt as a percentage of the new GDP level to find the percentage.

2. Impact on Debt Held by the Public as a Percentage of GDP:
- Determine the starting level of debt held by the public.
- Calculate the change in debt held by the public due to the deficit.
- Add the change in debt held by the public to the starting value to get the new level of debt held by the public.
- Express the new debt held by the public as a percentage of the new GDP level to find the percentage.

Please provide the missing information, such as the starting gross debt, starting GDP, and the relationship between the deficit and the change in gross debt or debt held by the public, if you want a specific answer.