To this end, we can model the price level at some point in time in a way similar to how we model compounding interest: P(t) = P(0) * (1.0 + r)^t. Take P(0) = 1.0, r = 0.032, and t = 2026-1914 = 112. Then, P(112) = 1.0 * (1.032)^112 = 34.05. We've had an average 3.2% rate of inflation in the price level over the past 112 years, give or take.
We can make certain assumptions that the rate of inflation won't be far off from this when we evaluate certain financial risks.
Just as in modeling adjustable interest rates for compounding interest, we can make r depend on t, and at that point, it becomes an ODE problem: dP/dt = r(t) * P(t).
We can make certain assumptions that the rate of inflation won't be far off from this when we evaluate certain financial risks.
Just as in modeling adjustable interest rates for compounding interest, we can make r depend on t, and at that point, it becomes an ODE problem: dP/dt = r(t) * P(t).