3f:null 40:["$","title",null,{"children":"Finance Library | Mo El Geneidy | Observable"}] 46:[] 44:{"id":"fb460541775eebe6","slug":"finance-library","title":"Finance Library","thumbnail":"19f01ca529e518fb76f6b90f0c66c24b4bd9c15f087286d96c7d216c06cae7fb","access_level":"public","create_time":"$D2022-07-27T23:12:42.522Z","update_time":"$D2022-07-27T23:12:42.522Z","view_time":null,"first_public_time":"$D2022-07-27T23:13:07.622Z","has_unpublished_edits":null,"fork":true,"stars":1,"starred":false,"owner":{"type":"team","id":"21ad40b63dc7cde3","login":"bc","name":"Mo El Geneidy","avatar_url":"https://avatars-next.observableusercontent.com/664f3ea176a14258bfe84880ac2139da73df4a6a08f27bf280ec1bdcb7d610d5","tier":"starter_2024","bio":"","following":false},"version":642,"publish_version":null,"role":null,"authored":false,"authors":[{"type":"individual","id":"644fcf47c6af2067","login":"bc","name":"Mo El Geneidy","avatar_url":"https://avatars-next.observableusercontent.com/664f3ea176a14258bfe84880ac2139da73df4a6a08f27bf280ec1bdcb7d610d5","tier":null,"bio":"","following":false}],"members":[{"type":"individual","id":"644fcf47c6af2067","login":"bc","name":"Mo El Geneidy","avatar_url":"https://avatars-next.observableusercontent.com/664f3ea176a14258bfe84880ac2139da73df4a6a08f27bf280ec1bdcb7d610d5","tier":null,"role":"editor"}],"comments":[],"custom_thumbnail":false,"trashed":false,"lapsed":null,"subscribed":null,"forks":1,"collection":{"id":"1649ed72a97a62fe","slug":"util","title":"util","owner":{"id":"21ad40b63dc7cde3","login":"bc","name":"Mo El Geneidy"}},"type":"notebook","body":{"titling":"auto","title":"Finance Library","cells":[{"id":0,"value":"md`# Finance Library`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":423,"value":"md`Inspired by [finance.js](https://github.com/ebradyjobory/finance.js) and many others.`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":325,"value":"md`---`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":420,"value":"md`## Definitions`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":20,"value":"md`### Present Value (PV)`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":4,"value":"PV = function(rate, cf1, numOfPeriod) {\n numOfPeriod = typeof numOfPeriod !== 'undefined' ? numOfPeriod : 1;\n var rate = rate / 100,\n pv;\n pv = cf1 / Math.pow(1 + rate, numOfPeriod);\n return Math.round(pv * 100) / 100;\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":24,"value":"md`### Future Value (FV)`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":28,"value":"FV = function(rate, cf0, numOfPeriod) {\n var rate = rate / 100,\n fv;\n fv = cf0 * Math.pow(1 + rate, numOfPeriod);\n return Math.round(fv * 100) / 100;\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":31,"value":"md`### Net Present Value (NPV)`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":36,"value":"NPV = function(rate) {\n var rate = rate / 100,\n npv = arguments[1];\n for (var i = 2; i < arguments.length; i++) {\n npv += arguments[i] / Math.pow(1 + rate, i - 1);\n }\n return Math.round(npv * 100) / 100;\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":39,"value":"md`### Seek Zero`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":42,"value":"md`seekZero seeks the zero point of the function fn(x), accurate to within x \\pm 0.01. fn(x) must be decreasing with x.`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":46,"value":"function seekZero(fn) {\n var x = 1;\n while (fn(x) > 0) {\n x += 1;\n }\n while (fn(x) < 0) {\n x -= 0.01;\n }\n return x + 0.01;\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":49,"value":"md`### Internal Rate of Return (IRR)`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":52,"value":"IRR = function(cfs) {\n var depth = cfs.depth;\n var args = cfs.cashFlow;\n var numberOfTries = 1;\n // Cash flow values must contain at least one positive value and one negative value\n var positive, negative;\n Array.prototype.slice.call(args).forEach(function(value) {\n if (value > 0) positive = true;\n if (value < 0) negative = true;\n });\n if (!positive || !negative)\n throw new Error(\n 'IRR requires at least one positive value and one negative value'\n );\n function npv(rate) {\n numberOfTries++;\n if (numberOfTries > depth) {\n throw new Error('IRR can\\'t find a result');\n }\n var rrate = 1 + rate / 100;\n var npv = args[0];\n for (var i = 1; i < args.length; i++) {\n npv += args[i] / Math.pow(rrate, i);\n }\n return npv;\n }\n return Math.round(seekZero(npv) * 100) / 100;\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":213,"value":"md`### Investment Multiple (IMx)`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":215,"value":"IMx = function(cfs) {\n var args = cfs.cashFlow;\n var positive = 0;\n var negative = 0;\n Array.prototype.slice.call(args).forEach(function(value) {\n if (value > 0) positive += value;\n if (value < 0) negative += value;\n });\n var imx;\n imx = (positive / negative).toFixed(2);\n return Math.abs(imx);\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":604,"value":"md`### Investment Multiple 2 (IMx2)\nLP`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":607,"value":"IMx2 = function(equityInv, mgmtFee, proceeds) {\n var numer = 0;\n var denom = 0;\n var ei = equityInv.cashFlow;\n var mf = mgmtFee.cashFlow;\n var pr = proceeds.cashFlow;\n Array.prototype.slice.call(ei).forEach(function(value) {\n denom += value;\n });\n Array.prototype.slice.call(mf).forEach(function(value) {\n numer += value;\n });\n Array.prototype.slice.call(pr).forEach(function(value) {\n numer += value;\n });\n var imx2;\n imx2 = (numer / denom).toFixed(2);\n return Math.abs(imx2);\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":55,"value":"md`### Payback Period (PP)`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":57,"value":"PP = function(numOfPeriods, cfs) {\n // for even cash flows\n if (numOfPeriods === 0) {\n return Math.abs(arguments[1]) / arguments[2];\n }\n // for uneven cash flows\n var cumulativeCashFlow = arguments[1];\n var yearsCounter = 1;\n for (var i = 2; i < arguments.length; i++) {\n cumulativeCashFlow += arguments[i];\n if (cumulativeCashFlow > 0) {\n yearsCounter += (cumulativeCashFlow - arguments[i]) / arguments[i];\n return yearsCounter;\n } else {\n yearsCounter++;\n }\n }\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":62,"value":"md`### Return on Investment (ROI)`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":65,"value":"ROI = function(cf0, earnings) {\n var roi = ((earnings - Math.abs(cf0)) / Math.abs(cf0)) * 100;\n return Math.round(roi * 100) / 100;\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":68,"value":"md`### Amortization`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":71,"value":"AM = function(principal, rate, period, yearOrMonth, payAtBeginning) {\n var numerator, denominator, am;\n var ratePerPeriod = rate / 12 / 100;\n\n // for inputs in years\n if (!yearOrMonth) {\n numerator = buildNumerator(period * 12);\n denominator = Math.pow(1 + ratePerPeriod, period * 12) - 1;\n\n // for inputs in months\n } else if (yearOrMonth === 1) {\n numerator = buildNumerator(period);\n denominator = Math.pow(1 + ratePerPeriod, period) - 1;\n } else {\n console.log('not defined');\n }\n am = principal * (numerator / denominator);\n return Math.round(am * 100) / 100;\n\n function buildNumerator(numInterestAccruals) {\n if (payAtBeginning) {\n //if payments are made in the beginning of the period, then interest shouldn't be calculated for first period\n numInterestAccruals -= 1;\n }\n return ratePerPeriod * Math.pow(1 + ratePerPeriod, numInterestAccruals);\n }\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":74,"value":"md`### Profitability Index (PI)`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":77,"value":"PI = function(rate, cfs) {\n var totalOfPVs = 0,\n PI;\n for (var i = 2; i < arguments.length; i++) {\n var discountFactor;\n // calculate discount factor\n discountFactor = 1 / Math.pow(1 + rate / 100, i - 1);\n totalOfPVs += arguments[i] * discountFactor;\n }\n PI = totalOfPVs / Math.abs(arguments[1]);\n return Math.round(PI * 100) / 100;\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":80,"value":"md`### Discount Factor (DF)`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":82,"value":"DF = function(rate, numOfPeriods) {\n var dfs = [],\n discountFactor;\n for (var i = 1; i < numOfPeriods; i++) {\n discountFactor = 1 / Math.pow(1 + rate / 100, i - 1);\n var roundedDiscountFactor = Math.ceil(discountFactor * 1000) / 1000;\n dfs.push(roundedDiscountFactor);\n }\n return dfs;\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":87,"value":"md`### Compound Interest (CI)`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":89,"value":"CI = function(rate, numOfCompoundings, principal, numOfPeriods) {\n var CI =\n principal *\n Math.pow(\n 1 + rate / 100 / numOfCompoundings,\n numOfCompoundings * numOfPeriods\n );\n return Math.round(CI * 100) / 100;\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":91,"value":"md`### Compound Annual Growth Rate (CAGR)`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":93,"value":"CAGR = function(beginningValue, endingValue, numOfPeriods) {\n var CAGR = Math.pow(endingValue / beginningValue, 1 / numOfPeriods) - 1;\n return Math.round(CAGR * 10000) / 100;\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":95,"value":"md`### Leverage Ratio (LR)`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":101,"value":"LR = function(totalLiabilities, totalDebts, totalIncome) {\n return (totalLiabilities + totalDebts) / totalIncome;\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":103,"value":"md`### Rule of 72`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":105,"value":"R72 = function(rate) {\n return 72 / rate;\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":107,"value":"md`### Weighted Average Cost of Capital (WACC)`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":109,"value":"WACC = function(\n marketValueOfEquity,\n marketValueOfDebt,\n costOfEquity,\n costOfDebt,\n taxRate\n) {\n var E = marketValueOfEquity;\n var D = marketValueOfDebt;\n var V = marketValueOfEquity + marketValueOfDebt;\n var Re = costOfEquity;\n var Rd = costOfDebt;\n var T = taxRate;\n\n var WACC = ((E / V) * Re) / 100 + (((D / V) * Rd) / 100) * (1 - T / 100);\n return Math.round(WACC * 1000) / 10;\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":111,"value":"md`### PMT Calculation`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":113,"value":"/* @param rate Rate of interest, 100-based (15% = 15), per period\n * @param principal Loan amount\n * @param numOfPayments\n * @see http://www.financeformulas.net/Loan_Payment_Formula.html\n */","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":116,"value":"PMT = function(rate, numOfPayments, principal) {\n var rate = rate / 100,\n pmt;\n pmt = -(principal * rate) / (1 - Math.pow(1 + rate, -numOfPayments));\n return Math.round(pmt * 100) / 100;\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":119,"value":"md`### Inflation Adjusted Returns (IAR)`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":122,"value":"IAR = function(investmentReturn, inflationRate) {\n return 100 * ((1 + investmentReturn) / (1 + inflationRate) - 1);\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":125,"value":"md`### XIRR`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":127,"value":"XIRR = function(cfs, dts, guess) {\n if (cfs.length != dts.length)\n throw new Error('Number of cash flows and dates should match');\n\n var positive, negative;\n Array.prototype.slice.call(cfs).forEach(function(value) {\n if (value > 0) positive = true;\n if (value < 0) negative = true;\n });\n\n if (!positive || !negative)\n throw new Error(\n 'XIRR requires at least one positive value and one negative value'\n );\n\n guess = !!guess ? guess : 0;\n\n var limit = 100; //loop limit\n var guess_last;\n var durs = [];\n\n durs.push(0);\n\n //Create Array of durations from First date\n for (var i = 1; i < dts.length; i++) {\n durs.push(durYear(dts[0], dts[i]));\n }\n\n do {\n guess_last = guess;\n guess = guess_last - sumEq(cfs, durs, guess_last);\n limit--;\n } while (guess_last.toFixed(5) != guess.toFixed(5) && limit > 0);\n\n var xirr = guess_last.toFixed(5) != guess.toFixed(5) ? null : guess * 100;\n\n return Math.round(xirr * 100) / 100;\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":129,"value":"md`### Capital Asset Pricing Model (CAPM)`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":131,"value":"CAPM = function(rf, beta, emr, err) {\n var ans = rf / 100 + beta * (emr / 100 - rf / 100);\n return ans;\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":133,"value":"md`### Annuity PV`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":135,"value":"md`Returns the Value of stock with dividend growing at a constant growth rate to perpetuity.`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":137,"value":"stockPV = function(g, ke, D0) {\n var valueOfStock = (D0 * (1 + g / 100)) / (ke / 100 - g / 100);\n return Math.round(valueOfStock);\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":139,"value":"md`### sumEq`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":144,"value":"md`Returns Sum of f(x)/f'(x)`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":142,"value":"function sumEq(cfs, durs, guess) {\n var sum_fx = 0;\n var sum_fdx = 0;\n for (var i = 0; i < cfs.length; i++) {\n sum_fx = sum_fx + cfs[i] / Math.pow(1 + guess, durs[i]);\n }\n for (i = 0; i < cfs.length; i++) {\n sum_fdx = sum_fdx + -cfs[i] * durs[i] * Math.pow(1 + guess, -1 - durs[i]);\n }\n return sum_fx / sum_fdx;\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":158,"value":"md`### Duration`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":160,"value":"md`Not bond duration but duration in years between two dates`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":162,"value":"function durYear(first, last) {\n return Math.abs(last.getTime() - first.getTime()) / (1000 * 3600 * 24 * 365);\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"}],"files":"$W46","stdlib":"1"}} 45:"$44:body"