Todd, let's dissect your challenge with clarity and correct some fundamental misunderstandings about government spending, GDP, and the assertions made.
First off, the demand for a formula where G (government spending) is larger than GDP and still results in positive numbers for C (consumption), I (investment), and (X-M) (net exports) seems to misapprehend how these components interact within an economy. It's crucial to understand that GDP is not just a tally of transactions but a measure of economic activity within a specific period.
To address your challenge directly: Asking for a formula where G exceeds the entire GDP and expecting other components to remain positive misunderstands the framework. GDP includes G, so when we discuss G exceeding "GDP," it's within the context of fiscal years or specific spending initiatives, not in the instantaneous equation GDP = C + I + G + (X-M).
However, for the sake of argument, let's conceptualize an example within a hypothetical economy over two fiscal periods to illustrate how increased G influences GDP dynamically, rather than statically:
Fiscal Period 1:
GDP = 100 (arbitrary units)
C = 40, I = 20, G = 30, X-M = 10
Here, G is not larger than GDP.
Fiscal Period 2 (with aggressive government stimulus):
Let's say G increases to 120, aiming to counteract economic downturns or invest in significant infrastructure, a policy choice reflective of a sovereign currency issuer's capabilities.
Assuming this stimulus effectively boosts economic activity, we might see C increase to 70 and I to 40 due to improved employment, consumer confidence, and business investment opportunities, facilitated by the government's spending.
Resulting GDP for Fiscal Period 2:
New GDP = C + I + G + (X-M) = 70 + 40 + 120 + 10 = 240
In this simplified example, G in the second period has technically "exceeded" the previous GDP (100) but is part of a new, higher GDP (240), demonstrating how strategic fiscal policies can stimulate economic growth, leading to increases in all components, including G.
Your critique, Todd, seems rooted in a static interpretation of these relationships. The dynamic role of fiscal policy yes, despite your dismissal as "baloney" is about leveraging government spending to influence economic outcomes positively. It's not "bad math" but a fundamental principle of how fiscal policy operates, especially under a framework that recognizes the government's unique financial capabilities as a sovereign currency issuer.
Asserting that G cannot be larger than GDP without causing negative implications elsewhere is to overlook the nuanced and multifaceted reality of economic management. It's not about predetermining limits but understanding the capacity for fiscal policy to drive economic growth and stability.
In short, Todd, the challenge is not in the math but in the interpretation and application of economic principles to fiscal policy. The "bad math" claim misses the mark it's about understanding the broader, dynamic context in which these numbers operate. And yes, this perspective is rooted in a comprehensive understanding of how economies function, not a narrow, static view that fails to capture the complexities of modern fiscal policy.