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Enter a discount rate and a series of period cash flows (year 0 is usually your negative initial investment) to get both the net present value and the internal rate of return - the two numbers most finance-101 case studies ask for.
Updates live as you typeAdd at least one cash flow to see NPV and IRR.
Case-method finance courses reward being fast and confident with these formulas cold - Encodr turns the underlying concepts into a daily flashcard habit instead of a night-before cram.
Get started freeNet present value discounts every future cash flow back to today at your chosen rate and sums them: a positive NPV means the project creates value at that discount rate. Internal rate of return is the discount rate that would make NPV exactly zero for that same cash flow series - the project's own break-even rate of return. The two usually agree on which of two projects is better, but they can rank mutually exclusive projects differently when cash flow size or timing differs a lot between them, which is exactly why case studies pair them instead of using either alone. IRR is solved here numerically (bisection over possible rates from -99% to 1000%), since there's no closed-form formula for it beyond a two-cash-flow project.
Two numbers finance courses always pair together, and why they can disagree about which project is better.
The fixed-cost, price, and variable-cost math behind every intro accounting and entrepreneurship break-even problem.
Spaced repetition and retrieval practice were tested on word lists and vocabulary, not just MCAT content - what carries over to engineering, business, and art courses.
Financial ratios explained with the course formulas: working capital, current and quick ratio, margins, turnover and days sales, with worked numbers.
Enter fixed costs, price per unit, and variable cost per unit to see exactly how many units - and how much revenue - it takes to break even.
Open tool →Midpoint price elasticity of demand from two prices and two quantities: elastic, inelastic or unitary, plus the total revenue effect.
Open tool →Inflation rate from CPI, nominal to real value, GDP deflator and real interest rate, with the formulas shown.
Open tool →Full depreciation schedule by straight-line, double-declining-balance or units-of-production, with book value never below salvage.
Open tool →Working capital, current and quick ratio, debt-to-equity, margins, and receivables and inventory turnover from statement figures.
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