The size of the federal debt in 20 years, assuming a 3% annual increase, would be approximately $30.70 trillion.
To determine the size of the federal debt in 20 years, we can use the formula for compound interest.
The formula for compound interest is:
Where:
A = the future value of the debt
P = the present value of the debt (current size of the debt)
r = the annual interest rate (3% in this case)
n = the number of times interest is compounded per year (assume it's compounded annually, so n = 1)
t = the number of years (20 in this case)
Plugging in the values into the formula, we get:
Simplifying the equation, we have:
A = $17 trillion *
Calculating the expression inside the parentheses, we get:
A = $17 trillion *
Using a calculator, we find that (1.03)^20 is approximately 1.8061.
Therefore, the size of the federal debt in 20 years would be:
A = $17 trillion * 1.8061
Calculating the result, we get:
A ≈ $30.70 trillion