Crypto & DeFi Math

What you'll build

What you will be able to do

Each lab ends with a concrete result that you build yourself and the checker confirms, cell by cell.

• Compare 15 days of an invented token (NOVA) with a broad stock index: daily returns, drawdown from the running peak, annualised volatility and the worst fall.
• Buy the invented token ORBX for USD 500 every month for a year, compare it with investing USD 6,000 at once in January, and chart both paths.
• Value a four-asset practice portfolio, measure how far it drifted from its target weights, size the trades that bring it back and add up the fees.
• Turn a staking APR into APY for four compounding frequencies, convert an advertised APY back to APR, and measure what locking your tokens for 90 days really adds.
• Add up the round-trip cost of buying and later selling a token for seven trade sizes, see what a +5% move leaves after costs, and find the smallest trade that keeps costs under 2%.
• Price four swaps of USDx into NOVA in a constant-product pool and see how the price you pay gets worse as the trade grows relative to the pool.
• Calculate impermanent loss for nine price moves, value a USD 5,000 liquidity position against simply holding, and chart the loss curve.
• Value a stablecoin position in four depeg scenarios, compute its expected value, size the position so the worst case stays within a loss limit, and count how many losing trades in a row reach a 30% drawdown.