IRR, the internal rate of return, asks what yearly rate a cash-flow series implies. You type the initial investment as a positive number and the calculator places it in year 0 as an outflow. In later years you type inflows as plus and extra outlays as minus. We search for a rate r such that the sum of CF_t / (1+r)^t = 0. Periods are full years.
First card: 10000 and 3000, 3500, 4000, 4500. IRR about 17.09%, above 8%. Simple payback lands after year 3, discounted payback at 8% after year 4. Second: 50000 and five inflows of 12000, last 18000, hurdle 10%. IRR about 9.42%, below the hurdle. The third has a β2000 in year 2 and IRR about 4.54% at a 12% hurdle; that is a multi-sign warning.
Type Initial investment / cost as a positive number. Required return (% / year) is optional. Add cash-flow rows with the Add year button. Click Calculate and read IRR first. Payback and NPV at the hurdle are context.
NPV next door shows the same series in money at a typed discount rate: the same 10000 and the same four inflows yield about 2261 at 8%. CAGR needs only a start and an end, with no mid flows. Rate of return is two-point as well.
IRR does not show scale: 17% on 10000 is different money than 17% on a million. With several sign changes the root may not be unique. Then lean on NPV, not on the percent alone.
Type 10000, an 8% hurdle, and four years 3000, 3500, 4000, 4500. Check about 17.09%. Then open NPV with the same numbers.