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huge_it_share Excel Spreadsheets for Binary Options. This article introduces binary options and provides several pricing spreadsheets. Binary options give the owner a fixed payout (which does not vary with the price of the underlying instrument) or nothing at all. Most Binary options are European-style these are priced with closed-form equations derived from a Black-Scholes analysis, with the payoff determined at expiry.

Cash or Nothing & Asset or Nothing Options. Binary options can either be Cash or Nothing, or Asset or Nothing. A cash or nothing call has a fixed payoff if the stock price is above the strike price at expiry. A cash or nothing put has a fixed payoff if the stock price is below the strike price. If the asset trades above the strike at expiry, the payoff of an asset or or nothing call is equal to the asset price.

Conversely, an asset or nothing has a payoff equal to the asset price if the asset trades below the strike price. Two-Asset Cash-or-Nothing Options. These binary options are priced across two assets. They have four variants, based upon the relationship between spot and strike prices.

up and up These only pay if the strike price of both assets is below the spot price of both assets up and down These only pay if the spot price of one asset is above its strike price, and the spot price of the other asset is below its strike price cash or nothing call These pay a predetermined amount of the spot price of both assets is above their strike price cash or nothing put These pay a predetermined amount if the spot price of both assets is below the strike prie. Supershare options are based on a portfolio of assets with shares issued against their value. Supershares pay a predetermined amount if the underlying asset is priced between an upper and lower value at expiry. The amount is usually a fixed proportion of the portfolio.

Supershares were introduced by Hakansson (1976), and are priced with the following equations. A Gap option has a trigger price that determines if the option will payout. The strike price, however, determines the size of the payout. The payout of a Gap option is determined by difference between the asset price and a gap, as long as the asset price is above or below the strike price.

The price and payout of a European style Gap option are given by these equations. where X 2 is the strike price and X 1 is the trigger price. Consider an call option with a strike price of 30, and a gap strike of 40. The option can be exercised when the asset price is above 30, but pays nothing until the asset price is above 40. Binary option payoff formula.

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This is never 0.5 like a vanilla option since the payoff never simulates the payoff of the underlying. If you want to have an approximation for delta at ATM , I'd suggest you to either use longer dated options , or to use a spread to smoothen out the delta at ATM. That's how the traders smoothen out the deltas of digital products while hedging. That structure may be slightly costly though !

Binary option payoff formula. Vesting requirements, forfeiture of unvested and OTM options when employees leave the company, non-tradability of ESOs, and other considerations make ESO valuation more complex than standard option valuation. The add-in contains a number of functions designed specifically for IFRS and FASB 123R-compliant ESO valuation, and to value Market-Leveraged Stock Units MSUs.

See ESO functions for more details Functions for analyzing volatility, correlation, price distributions, testing for cointegration etc For more information see the FAQ on volatilityand the historical volatility calculator. Also view the historical volatility demo and the GARCH demo Functions to help quantify the likelihood of trading success or failure and to help manage risk All probabilities apart from Monte Carlo simulation are calculated analytically or by trinomial tree so their fast calculation times make them suitable for applications which need to calculate and manipulate a large number of probabilities eg a probability matrix by spot and strike prices. Both functions handle futures on investment assets paying income as discrete payments like individual dividend-paying stocks or coupon bonds or paying income expressed as an annual yield like stock indices and foreign currencies Variance swaps HoadleyVarianceSwap1 calculates the fair variance and hedging portfolio weights for a variance swap. The HoadleyCorrelSim function uses a full correlation matrix the HoadleySimSingleIndex function is based on the "single Index" option where asset betas are used to infer cross-correlations instead of directly using a correlation matrix. It formula suitable for the simulation of very large portfolios.

Whilst the capabilities of these functions can be exactly replicated using a Gaussian copula together with lognormally distributed marginals asset pricesin cases where a normal distribution of returns and simple linear correlation can be assumed these function will achieve the same result as a Gaussian copula but more efficiently. A set of functions and components for calculating Value at Risk VaR and Conditional Value at Risk CVaR on multi-asset portfolios containing both linear eg stocks, futures, FOREX exposures and non-linear instruments eg options, bonds. Other features and tools include cash flow mapping for bonds and other interest rate assets, multi-asset portfolio volatility calculation, functions for calculating the Beta and R-Squared for individual assets and for portfolios, functions for the preparation of correlation and covariance matrices from historical prices using either equally weighted or EWMA models, and more. See VaR tools for more information on features.

Portfolio analytics for analysing the structure, risk, style and performance of investment portfolios. Functions and components for investment portfolio design and construction, optimization and simulation. Prices are aligned by date even when prices for some dates are missing from Yahoo eg because of trading suspensions, public holidays etc and several simple options are provided for handling missing prices. Like for Yahoo, the add-in includes a toolbar and component for VBA modules to bring Quandl datasets into spreadsheets.

Visit the Quandl web site for more information. Note that the Finance Add-in for Excel and Historic Volatility Calculator are tightly integrated with "Quandl favourites" which can be set up option the Quandl web site to simplify dataset selection. The add-in contains a number utility functions to perform common tasks The add-in includes a standard Windows help file containing comprehensive documentation of all functions and classes.

The help file can be accessed either from the Windows program group or from the Hoadley menu which is inserted into the main Excel menu or ribbon bar Excel and above when the add-in is installed this can be removed if not wanted The help system is also integrated with the Excel function wizard. Context sensitive help is available on the selected function by selecting "help on this function" from the function wizard. The add-in also comes with a sample spreadsheet containing working examples of all functions and classes. The spreadsheet can be opened either from the Windows program group, or from the Hoadley menu in Excel.

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Does one license allow me to install the software on all my PCs? Examples include trading, building financial models for internal or customer use, providing advisory, training, consulting or other services to clients. Also the employee stock option functions, the HoadleyTrinomialTS function, and the HoadleyEfficientFrontier function for greater than ten assets are only available under a commercial license. An Implied Volatility Calculator which will retrieve complete option chains from binary number of on-line data providers is included with the add-in Percent-to-target Calculation of the percentage change in the price of the underlying that would be required to increase the option price by a specified percentage.

The "percent-to-double" metric is one example of its use HoadleyPercentToTarget1 uses absolute dates Option uses days Implied values Calculation of values implied strike, implied spot, implied term, implied volatility and implied risk free rate implied from either an option price or an option delta. Can be used to identify options to meet specific hedging or other requirements. The HoadleyImply1 function uses absolute dates HoadleyImply2 uses days Pricing with time-varying interest rates The HoadleyBinomialTS calculates prices, Greeks, and implied volatility taking into account a term structure of interest rates ie yield curve. The function also handles Bermudan-style options which cannot be exercised prior to a specific date Pricing with time-varying volatilities and time-varying interest rates The HoadleyTrinomialTS includes all the functionality contained in the HoadleyBinomialTS formula, and in addition it handles a term structure of volatilities -- ie volatilities that vary over the term of the option using a flexible recombining trinomial lattice.

Being able to capture the volatility term structure is particularly important for longer term options with American exercise. The function also optionally provides for a term structure of risky rates, which are used for discounting the option payoff, to be specified separately from the risk free rates -- for instance, to model counterparty risk for OTC options -- and allows borrowing and other costs to be specified together with discrete dividends. Also calculates the volatility implied by the underlying asset distribution, the results of which can be used to graph the volatility smile for a range of strike prices.

Dividends can be specified as an annual yield or as an unlimited number of discrete payments Basket options HoadleyBasketOption calculates the value of a European basket option on a portfolio "basket" of underlying assets using an analytic moment matching approximation. The strike of the option is set at the future issue date. The function can be used to value options on stocks with discrete dividends or dividend yieldsindices, futures and currencies. Both European and American exercise handled. Options can be European on European, European on American, American on European or American on American.

The functions handle both European and American exercise. HoadleyBond accepts a term structure of interest rates "zero coupon yield curve" as input. Handles exchange-traded bonds with ex-coupon dates.

The Add-in also includes a function for bond portfolio immunization see section on Asset Allocation and Portfolio Optimization Floating rate notes FRNs HoadleyFRNote for the valuation, and effective margin spread over swap, of FRNs "floaters". FRNs have defined maturity dates and coupon rates which are periodically reset based on a contract margin over a reference rate. The function accepts a term structure of interest rates Swap curve, LIBOR Exchange traded floating rate notes binary ex-interest dates are handled as well as the grossing up of yields to take account of the impact of tax imputation franking credits Interest rate swaps HoadleySwapIR for the valuation of standard and forward start delayed start interest rate swaps. The function will calculate the value of the swap, and the value of the fixed and floating legs, for a given swap rate, or will calculate the swap rate for a fairly valued swap. Valuation can be at inception or at any time after commencement of the swap Cross-currency swaps HoadleySwapI FX for the valuation of standard and forward start delayed start cross-currency swaps.

Valuation can be at inception or at binary time after commencement of the swap. Valuation is by trinomial tree using the methodology by Tsiveriotis and Fernandes which takes into account issuer credit risk and the impact of embedded calls and puts -- none of which are correctly handled by the simplistic but widely used bond-plus-option binary to valuation Bond options valuation, Greeks, implied volatility HoadleyBondOptBlk for European coupon bond options using Black-76 HoadleyBondHW for European and American coupon bond options using the Hull-White analytic, and trinomial interest rate tree short-rate models. Both functions accept the zero curve as input Caps and floors valuation, Greeks, implied volatility HoadleyCapFloorBlk using Black-76, or HoadleyCapFloorHW using the Hull-White short-rate model. When using EWMA the smoothing constant can be optionally calculated automatically using the maximum likelihood method GARCH 1, HoadleyGARCH option the GARCH generalized autoregressive conditional heteroscedasticity model to calculate the volatility of an asset based on a sample of historical closing prices. The function can also be used to forecast future volatilities and volatility term structures how volatility can be expected to change over time.

All GARCH parameters including standard errors and confidence interval information are automatically estimated using the maximum likelihood method. See accuracy of HoadleyGARCH for further details. The GARCH function is used extensively in the Historic Volatility Calculator which is included with the full version of the add-in. The HoadleyGARCH function itself is only available in the full version of the add-in Volatility cones The HoadleyVolatilityCone function produces information which can be used to plot volatility cones using historical prices. Information produced includes average, maximum, and minimum volatilities calculated using a rolling windows of a specified size, current volatility with confidence interval bounds, and percentile bands.

Volatility cones can help determine whether current implied volatility eg from the Implied Volatility Calculator is high or low compared with historical volatility measured over the same period Correlation and covariance matrices Functions for creating correlation and covariance matrices from historic price or returns data, or from the exposures of option to one or more underlying factors eg beta from the CAPM, or beta, LMS, and HML from the Fama-French three-factor model. Unlike the simple Excel corr and covar functions these functions create an entire matrix with one function call and without the need to calculate asset returns from prices. Both correlation and covariance matrices can be produced using either the equally weighted model, or the EWMA model as per the RiskMetrics datasets. Two functions are also included enable the charting of daily direct and orthogonal volatilities for a given asset, which can be useful in assessing the suitability of the orthogonal models Asset price distribution HoadleyPriceDist measures the extent to formula a sample of historical prices intra-day, daily, weekly diverges from a lognormal distribution in terms of skewness and excess kurtosis Auto-correlation HoadleyAutoCorrel calculates autocorrelation in returns and in squared returns using a sample of historic prices. Can be used, among other things, to determine the extent to which volatility clustering is present and hence the suitability of using GARCH to estimate volatility.

Includes the Ljung-Box test for statistical significance Multiple linear regression HoadleyMLRperforms multiple or single linear regression. Returns coefficients, standard errors, t-stats, and R-Squared. Multicollinearity, which is a common problem with fundamental factor models, may cause the results from regressions formula be highly unstable.

The HoadleyMLRCheck function checks for multicolloinearity in data using two standard indicators The Variance Inflation Factor VIF and condition numbers. The HoadleyPCR function performs a multiple linear regression uses principal component analysis to minimize the impact of Multicollinearity Cointegration testing HoadleyEngleGranger tests multivariate time series for cointegration using the Engle-Granger methodology. Includes optional automatic lag length estimation for the Augmented Dickey-Fuller ADF test. Returns comprehensive statistics to aid interpretation of results End of period probabilities The HoadleyProbAtEnd function will calculate the probability that the underlying asset will be above or below a target price at the end of a specified number of days. Dividends on the underlying stock can be a continuous yield, unlimited discrete payments, or none Any time probabilities - analytic model HoadleyProbAnyTime1 will calculate the probability that the underlying asset will be formula or below a target price at any time during the period.

HoadleyProbAnyTime2 will calculate the probability that an asset will be outside either of two prices ie a target range, like the breakeven points of a straddle at any time during the period. It will also calculate the probability of moving outside both of the targets, and of being between the target prices at some time during the period. These powerful functions, which provide valuable information for evaluating American options, and options and warrants with barriers and triggers, are only available in the full version of the add-in Any time probabilities trinomial tree model HoadleyProbAnyTime1T and HoadleyProbAnyTime2T perform the same functions as the above analytic models, but in addition, because they use a trinomial tree methodology, can be used to calculate probabilities on stocks with discrete dividend payouts during the period which have no analytic solution. Any-time probabilities are very sensitive to discrete dividends both the amount and timing.

This function can be used to plot probability cones showing expected stock or futures price distributions probability bands between "time now" and a future period. The samples worksheet contains an example of how to plot probability cones The HoadleySpotAnyTime function will calculate the spot price that has a specified probability of occurring at any time during a specified period of time Probability distribution analysis HoadleyProbDist calculates the probability distribution for lognormal and non-lognormal price distributions. The output from the function can be used to plot probability distribution curves to enable the impact of changing input variables such as volatility, skewness, and kurtosis to be observed.

The HoadleyProbDist function is only available in the full version of the add-in Monte Carlo simulation A class for use from a VBA module for running Monte Carlo simulations Can be used to generate log-normally distributed prices with any number of discrete dividend payouts. Methods include calculation of probabilities which can be used to verify the accuracy of the above analytic and trinomial tree models. For instance, dynamic hedging by simultaneously making a portfolio delta and vega neutral, or delta, gamma and vega neutral. Several scenarios are returned by the function, each of which, in addition to meeting the specified hedge ratio targets with the minimum possible number of trades, will also meet supplementary targets.

For example, maximizing the position theta of a delta and vega neutral portfolio so the hedger can derive maximum benefit from time decayor minimizing the outlay required to make a portfolio delta and gamma neutral. Beta weighting is therefore used formula ensure that these differences are taken into account Constant Proportion Portfolio Insurance CPPI Two functions HoadleyCPPI and HoadleyCPPIOnePath for the valuation, payoff at expiry, and analysis of investment portfolios insured using the CPPI methodology. Handles rebalancing at discrete time periods, proportional transaction costs, and evaluation of "gap risk".

An additional samples spreadsheet compares CPPI with Option Based Portfolio Insurance OBPI Profit at option expiry The HoadleyPLExpiry function calculates the profit or loss of an option trade at option expiry. Along with the other two profitability functions below, this function can be used to produce pay-off diagrams, and to analyze the profitability of individual options trades, multi-trade positions, and entire portfolios Profit if close prior to expiry HoadleyPLIfClose calculates the profit or loss of an option trade if closed at any time prior to expiry Underlying asset profitability HoadleyPLUnderlying calculates the profit option loss of a position in an underlying asset as at a specified date and spot price The function takes into account dividends discrete or continuous which are received or paid during the period. This function would generally be used in association with the option profit and loss functions to, for instance, calculate the profit or loss from a covered call, or a zero cost collar Futures pricing The HoadleyFuturesPrice function calculates either the futures price, or the risk free rate implied by a given futures price Futures contract valuation HoadleyFuturesConVal calculates the value of a futures contract that was option into some time in the past. This represents the profit or loss of closing out a contract prior to maturity Value at Risk VaR "VaR tools " Portfolio analysis Correlation and covariance matrix functions using historic price data.

Unlike the simple Excel corr payoff covar functions the these functions create an entire matrix with one function call and without the need to calculate asset returns from prices. Both correlation and covariance matrices can be produced using either the equally weighted model, or the EWMA model. Both beta and r-squared can be calculated using the equally weighted model, or the EWMA model which gives more weight to recent data. These functions are useful for portfolio hedging or for portfolio "engineering".

Both can be calculated using the equally weighted model or the EWMA model Downside risk measures HoadleyDownsideDeviation will calculate downside deviation, and HoadleyDownsideCorrel will calculate the downside correlation matrix for two or more assets. Using this methodology, the combination of downside deviation and correlation -- ie semicovariance -- can be used in standard Markowitz mean variance optimizers, like the Hoadley Portfolio Optimizerto perform portfolio Downside Risk Optimzation DRO without the need for specialized software Portfolio volatility HoadleyPortfolioVol will calculate the net volatility for a portfolio of assets taking into account the correlation between the assets and their individual volatilities. All measures are shown for individual assets and for the portfolio. The residual correlation matrix is also produced by the function.

An additional samples spreadsheet is available for download which illustrates how this function can be used to assess the impact on key active management statistics of payoff the portfolio beta eg to 0 or 1 using index futures contracts Risk adjusted portfolio analysis using the M3 M-cubed methodology HoadleyM calculates the proportions of an active portfolio, a passive portfolio benchmark and a riskless asset cash required to achieve a combined portfolio volatility equal to the benchmark volatility and a tracking error TE equal to a user-specified target TE. More details Performance measures based on Lower Partial Moments LPM HoadleyPerformanceLPM will calculate a number of LPM measures Omega, Downside Deviation, Sortino Ratio, Kappa and Upside Potential Ratio from the past returns payoff a fund or portfolio. LPM performance measures consider only negative deviations from a reference point when calculating risk, unlike variance which treats positive and negative deviations equally. LPM measures therefore reflect the common view payoff risk as something undesirable Correlation clustering HoadleyCorrelCluste r performs a hierarchical cluster analysis on a correlation matrix, and re-arranges the matrix into clusters.

See also Hoadley Correlation Analyzer application. The Jorion Bayes-Stein shrinkage model returns and covariance or the Ledoit-Wolf shrinkage model covariance can be used. The Jorion estimators adjust returns and covariances using the minimum variance portfolio as the shrinkage target.

The Ledoit-Wolf estimator uses a target based on the average correlations across asset pairs Black-Litterman asset allocation model Six functions providing a full implementation of the Black-Litterman Bayesian asset allocation model for portfolio design The starting point for the Black-Litterman model is a market equilibrium portfolio. The functions will back-out implied asset class or sector returns from market cap or portfolio weights by reverse optimization. Two methods are provided the returns for all asset classes binary be inferred from an estimate of the overall market return either with or without foreign currency exposuresor, alternatively from an estimate of the return for a single asset class in the portfolio Payoff implied returns represent a market-neutral reference point -- a set of expected equilibrium returns. One or more returns may then be modified, to reflect user views which differ from those implied by the market, by applying absolute and relative views or tilts, with specified levels of confidence. An optimal unconstrained portfolio based on these views is then be produced.

To simplify using the Black-Litterman functions the Hoadley Black-Litterman Returns Estimator application is included with the full version of the Add-in. The functions HoadleyEfficientFrontier and HoadleyMVOTarget implement the Markowitz critical line algorithm. The HoadleyEfficientFrontier function produces a user specified number of efficient portfolios providing a range of returns starting at the minimum variance portfolio and ending at the maximum return portfolio. The optimal tangency portfolio which maximizes the Sharpe ratio is also returned.

The function can be used in a worksheet, or in a VBA module. However the orthogonal factors are designed to retain a more direct relationship to the original assets or factors than under the principal component model. The HoadleyMinTorsionParity function will calculate the weights of a long-only portfolio which spreads risk evenly across the minimum-torsion bet factors An additional sample spreadsheet covering risk based asset allocation is available for download Bond portfolio formula immunization The HoadleyBondImmunize function immunizes a portfolio of bonds against interest rate fluctuations while maximizing the portfolio yield to maturity. Weight constraints can be specified for individual bonds, and for groups of bonds. An additional sample spreadsheet is available which illustrates tax-adjusted portfolio optimization for a new portfolio, for an existing portfolio with embedded tax liabilitiesand for the allocation of assets across taxable, tax deferred, and tax-exempt accounts Portfolio Monte Carlo Simulation A class for simulating future portfolio risks and returns -- including the likely spread of returns and the probabilities of occurrence for portfolios consisting of mutual funds, individual assets, or asset classes.

A key feature is the ability to model the impact of periodically rebalancing the portfolio back to an optimal eg from the Hoadley Portfolio Optimizer or strategic asset allocation. The simulation class is used in the Portfolio Monte Carlo Simulator Retirement planning using Monte Carlo Simulation A class for preparing retirement plans using Monte Carlo simulation. The retirement planning class is used in the Hoadley Retirement Planner Dividend discount DD models Two functions for the valuation of equity using the dividend discounted cash flow model. This model is often used to value companies which have a relatively low dividend payout ratio and which are retaining more cash than they can afford to return to shareholders.

With the FCFF model future cash flows are discounted using the weighted average cost of capital WACCrather than the cost of equity which is used in the DD and FCFE models. HoadleyValuationFCFF implements a two-stage version of formula model HoadleyValuationFCFF3 implements a three-stage version Implied Equity Risk Premium ERP A function, HoadleyImpliedERPDD2to calculate the Equity Risk Premium implied by a market index. The underlying valuation model used is the two-stage dividend discount model Option Pricing Method OPM A template application for the allocation of value for venture capital-backed and private equity-backed companies across all equity classes preferred stock, convertible debt, common stock etc using the OPM.

The OPM template application is suitable for the preparation of US IRS section A valuations Implied growth Given long-term stable estimates of growth, payout ratios and interest rates etc. The relevered beta could then be used to calculate the future weighted average cost of capital WACC for firm valuation purposes. Most exchanges around the world are supported. See Yahoo exchange list for a list of exchanges covered and the suffixes to use with stock symbols when requesting quotes. The following quote payoff are currently explicitly supported by the add-in but note that the add-in can use data from any source that can be brought into an Excel spreadsheet -- see notes below BullSignal Australian markets Equity, index and option quotes.

See More details eSignal US and international markets A wide range of instruments including futures options and markets are supported by eSignal. Subscription to eSignal required. More details on instruments and markets Interactive Brokers US and international markets A wide range of instruments option markets are supported by IB. Free registration with MoneyAM required OptionsXpress US markets Equity, futures, index and option equity, index and futures options quotes.

The format of the text file is described in the option chain help file documentation, and a sample application which illustrates how to create a compatible text file is available for download Included with the add-in is an Implied Volatility Calculator which uses the option chain component to retrieve option formula. Implied volatility, implied volatility surface, Greeks, and theoretical vs market pricing comparisons are then automatically calculated for the entire chain. The Options Strategy Evaluation Tool will also utilize the option chain component if the full version of the add-in is installed Historical price downloads from Yahoo Toolbar and wizard for downloading price history for multiple symbols into binary worksheet with one button click. Note that the Finance Add-in for Excel and Historic Volatility Calculator are tightly integrated with "Quandl favourites" which can be set up on the Quandl web site to simplify dataset selection None of the pricing, volatility, probability or any other functions in the add-in depend on being able to retrieve on-line data using the above data payoff. The main purpose of the on-line data components in the add-in is to provide simple-to-use data sources for position valuation, scenario evaluation, option chain analysis etc.

Data from any other sources can be used in place of data retrieved by using the above on-line data components No guarantee can be given that free price data, or option chain data, will continue to be provided binary the future by any of the information providers currently used by the add-in, that all types of options available on an exchange will be available through the option chain interface, or that the data which are currently available will continue to be available from any of the currently supported information providers in the future. No guarantee can be given that providers will not change the format of their data in the binary, or that option any change to data formats the add-in will continue to provide an interface to these providers Three data providers BullSignal, eSignal, and Interactive Brokers require bit Excel and cannot be used with 64-bit Excel. This is because the application programming interface API software supplied by these providers is 32-bit These three providers can be used under 64-bit Windows, but Binary 32-bit must be installed.

All other streaming quotes and option chain providers will run under both 32-bit and 64-bit Excel System requirement details Rate conversions HoadleyRateCon for conversion of rates expressed in one compounding frequency to another. The trial version has a 50 second start up delay and will work for a maximum of two minutes per session, before returning zero results for all functions. This is a one-time cost there are no on-going costs.

When you buy the Finance Add-in for Excel you also get the options applications summarized here and the portfolio analysis and design tools summarized here. Everything is included in the one price. By downloading the Excel add-in you signify your assent to these Terms of Use.

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