OptionPosition+ vs Options Pricing Monte Carlo

OptionPosition+ Version 4.1 OptionPosition+ is a financial analysis App that estimates the value of a set of shares and put and call options for a particular stock. It allows the investor to explore various option hedging positions and create a portfolio that is sensitive to price and volatility fluctuations or that provides protection for various concerns. OptionPosition+ graphically illustrates the value of put protection, covered calls, call spreads, time spreads, delta neutral skew trades, iron condors, etc.. Further information is available at https://www.optionposition.com OptionPosition+ comes with an initial one month subscription period that provides access to data on most stocks listed on the NYSE and NASDAQ and certain indexes (i.e. NDX, NQX, XND). After this one month subscription period you may purchase an auto-renewing subscription through an In-App Purchase. (If you do not maintain a subscription you can only access stock and option data for AAPL.) • Auto-renewable subscription • 1 month ($2.99), 2 month ($4.99) and 3 month ($5.99) durations • Your subscription will be charged to your iTunes account at confirmation of purchase and will automatically renew (at the duration selected) unless auto-renew is turned off at least 24 hours before the end of the current period. • Current subscription may not be cancelled during the active subscription period; however, you can manage your subscription and/or turn off auto-renewal by visiting your iTunes Account Settings after purchase. • Privacy policy and terms of use: https://sites.google.com/site/kramerkramersoftware/ OptionPosition+ Features: • delayed stock and option prices for all available strike dates and strike prices (delay varies from 0 to 20 minutes) • remembers 30 different portfolios each with 6 assets: ..........puts, calls, shares or child portfolios ......................child portfolios can have different underlying stock ......................child portfolios have correlated price ..........long, short any quantity ..........all listed strike dates ..........all listed strike prices ..........e-mail to anyone • Black-Scholes equation used to determine implied volatility and future value of put and call options • graphically displays Gain/Loss, Delta, Vega, Theta or Gamma as a function of stock price: ..........now (see black lines below) ..........at any future date up to the earliest strike date (see red lines below) ..........at assumed higher or lower volatilities (see green lines below) ..........with a changing price correlation to child portfolios included as an item/hedge • graphically displays the probability of future stock prices and the probability of future option portfolio Gains/Losses based on current put/call straddle prices • graphically displays the Volatility Smile for any expiration date • scales on the graph are continuously adjustable with one and two finger moves – easily zoom in or out • tap on the graph to show the X,Y value at a point and the value of the curves at that X value • diagnostics table shows all Greeks and lets you easily create a Delta neutral portfolio • 3 month US dollar LIBOR used for risk free interest rate • incorporates predicted dividend payments into the Black-Scholes calculations without making a ‘fixed dividend rate’ error in Delta Screen shots: For an explanation of these option positions, and more, see our website www.OptionPosition.com. Screen shots shown below (for both iPhone and iPad): 1) Gain/Loss for a Put Protection in AAPL 2) Gain/Loss graph for an Iron Condor in AAPL 3) Assets (iPad includes Diagnostics) for the Iron Condor in AAPL 4) Delta graph for the Iron Condor in AAPL 5) Probability of the value of the Gain/Loss for the Iron Condor in AAPL 6) Volatility Smile using data source A

The Options Pricing Monte Carlo app prices power options: max(S^i -K,0) or max(K-S^i,0). It also shows the % of paths with positive payoffs. The normal inverse is calculated with Beasley-Springer-Moro method. The Heston tab is used to price options under stochastic volatility using Monte Carlo. It also prices European options using Black-Scholes and can also calculate Implied Vol. Normal is calculated by direct integration using Simpson method with a low tolerance. So 4 calculators in one: - Monte Carlo simulator for regular European and Power options. - Monte Carlo simulator for European options with stochastic vol (Heston model). - Black Scholes calculator for price and greeks and implied vol. - Simulation tab lets you visualize Brownian Motion with drift. (2D or vs time).