31:T4eb,data2 = { play; var d = [] var bankroll = startingBankroll var optimalBankroll = startingBankroll var bankrupt = false var optimalBankrupt = false d.push({Round: 0, Bankroll: bankroll, Strategy: "Your Bet " + "(" + bet.toFixed(2) + "x)"}) d.push({Round: 0, Bankroll: optimalBankroll, Strategy: "Optimal Bet " + "(" + optimalBet + "x)"}) for (let i = 1; i <= numberOfRounds + 1; ++i) { yield Promises.delay(500 - (simulationSpeed * 5), d) if (bankrupt) { d.push({Round: i, Bankroll: bankroll, Strategy: "Your Bet " + "(" + bet.toFixed(2) + "x)", Bankroll: bankroll, Bankrupt: "Not enough to bet!"}) } else { bankroll = strategy(bankroll) if (bankroll * bet < 0.01) { bankrupt = true } d.push({Round: i, Bankroll: bankroll, Strategy: "Your Bet " + "(" + bet.toFixed(2) + "x)"}) } if (optimalBankrupt) { d.push({Round: i, Bankroll: optimalBankroll, Strategy: "Bankrupt"}) } else { optimalBankroll = optimalStrategy(optimalBankroll) if (optimalBankroll <= 0.01 && optimalBankroll * optimalBet < 0.01) { optimalBankrupt = true } d.push({Round: i, Bankroll: optimalBankroll, Strategy: "Optimal Bet " + "(" + optimalBet + "x)"}) } } }32:[] 2f:{"title":"Optimal Bet Sizing: Kelly Criterion","cells":[{"id":181,"value":"# Optimal Bet Sizing: Kelly Criterion","pinned":false,"hidden":false,"mode":"md"},{"id":487,"value":"*by Johann Choy, Aaron Tou, Lani Dang, Diane Du*","pinned":false,"hidden":false,"mode":"md"},{"id":207,"value":"## Flipping a Coin","pinned":false,"hidden":false,"mode":"md"},{"id":210,"value":"Let's consider flipping a coin. In this coin flipping scenario, the probability of flipping heads is 60% and the probability of flipping tails is 40%. You place a bet before each flip and the goal is to reach $200. Let's try:","pinned":false,"hidden":false,"mode":"md"},{"id":813,"value":"viewof betProportion = Inputs.range([0, 1], {value: 0.5, step: 0.01, label: \"Bet Proportion\"})","pinned":false,"hidden":false,"mode":"ojs"},{"id":799,"value":"bankrollText = html`

Bankroll: $ ${bankroll.toFixed(2)}`","pinned":false,"hidden":false,"mode":"ojs"},{"id":1097,"value":"mutable betResult = null\n","pinned":false,"hidden":false,"mode":"ojs"},{"id":1157,"value":"mutable RoundNumber = html`

Round: ${currentRound - 1}`","pinned":false,"hidden":false,"mode":"ojs"},{"id":756,"value":"viewof wager = html`

${Object.assign(html`