IRR is the discount rate at which the net present value of all cash flows equals zero, solved via Newton's method on the full series beginning with the negative net upfront cost. Annual savings grow each year at the utility inflation rate net of panel degradation (effective growth ≈ inflation − degradation). Roof cost is inflated from today’s estimate at the utility inflation rate. Nominal breakeven is the year cumulative savings recover the upfront cost in current dollars. Real breakeven deflates each year’s savings by the CPI assumption to show purchasing-power recovery — it always arrives later than the nominal figure. When financing is enabled, annual loan payments are added as a cash outflow through the loan term; IRR is computed on the down payment as Year 0 outlay. This calculator is for illustrative purposes only and does not constitute investment advice.