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2023-08-21 11:52:31

TonySly on Nostr: Using a 4% compounding interest rate, a starting principal balance of $33 trillion in ...

Using a 4% compounding interest rate, a starting principal balance of $33 trillion in 2023, and annual deficits of $2 trillion—let's calculate when the National debt would exceed $50 trillion.

Starting Balance: $33 trillion
Annual Deficit: $2 trillion
Interest Rate: 4%

To calculate the year when the debt surpasses $50 trillion, we need to find how many years it takes for the cumulative deficits and compounded interest to exceed $50 trillion. Here's the calculation:

Year 0:
Debt = Starting Balance = $33 trillion

Year 1:
Deficit = $2 trillion
Interest = 4% of $33 trillion = $1.32 trillion
Debt at the end of Year 1 = Starting Balance + Deficit + Interest = $33 trillion + $2 trillion + $1.32 trillion = $36.32 trillion

Year 2:
Deficit = $2 trillion
Interest = 4% of $36.32 trillion = $1.45 trillion
Debt at the end of Year 2 = $36.32 trillion + $2 trillion + $1.45 trillion = $39.77 trillion

Continue this calculation until the debt exceeds $50 trillion.

Year 10:
Debt = $54.19 trillion (exceeds $50 trillion)

Therefore, at a 4% compounding interest rate, a starting principal balance of $33 trillion in 2023, and annual deficits of $2 trillion, the U.S. National Debt would exceed $50 trillion in the year 2033. Keep in mind that this calculation assumes a simplified model and doesn't account for potential fluctuations in interest rates, economic conditions, or changes in fiscal policies.
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