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Numerical Development
with F# and Excel
Adam Mlocek
Tomas Petricek
 Download and unzip:
http://statfactory.co.uk/Tutorial.zip
 Use VS2012 or install Tsunami F# IDE:
www.tsunami.io
 Install FCell 2.0 beta (optional):
http://statfactory.co.uk/FCell20_32bitExcel.msi
http://statfactory.co.uk/FCell20_64bitExcel.msi
Setup
 FCell.XlProvider: Type Provider for Excel named
ranges
 Fmat: F# matrix library
 FCell.Series: F# recursive series framework
The Toolbox
 Open Tutorial.xlsm and Intro.fsx
 Generate random normal : normRnd
 Use (!!) operator for casting
 Transpose matrix
 Concatenate matrices vertically
 Slice matrix
 Calculate cov, mean and quantiles
 Calculate inverse normal cdf
Warm up
 Calculate Fibonacci: f(n) = f(n-1)+f(n-2)
 Calculate cumsum of 0,1,2…
 Simulate Wiener process:
W(t+dt) = W(t) + dt * Z, Z~N(0,1)
 Simulate Geometric Brownian Motion process
S(t+dt) = S(t)+S(t)*μ*dt+S(t)*σ*dt*Z, Z~N(0,1)
Exercise 1: Series
 Portfolio with 3 stocks: AAPL, MSFT and GOOG
 Value V, allocated with weights w
 ~500 daily historical prices
 Calculate daily Log losses: L
 Historical VaR(α=95%)=quantile(V*w*L.T)
 Assume L~N(mean, cov)
 Calculate normal VaR analytically
Exercise 2: Portfolio VaR
 Create custom menu with button to run the VaR
model
 Embed F# model and FCell runtime in
workbook
FCell Demo

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Progressive f# tutorials nyc tomas petricek & adam mlocek on f cell numerical development in excel w f#

  • 1. Numerical Development with F# and Excel Adam Mlocek Tomas Petricek
  • 2.  Download and unzip: http://statfactory.co.uk/Tutorial.zip  Use VS2012 or install Tsunami F# IDE: www.tsunami.io  Install FCell 2.0 beta (optional): http://statfactory.co.uk/FCell20_32bitExcel.msi http://statfactory.co.uk/FCell20_64bitExcel.msi Setup
  • 3.  FCell.XlProvider: Type Provider for Excel named ranges  Fmat: F# matrix library  FCell.Series: F# recursive series framework The Toolbox
  • 4.  Open Tutorial.xlsm and Intro.fsx  Generate random normal : normRnd  Use (!!) operator for casting  Transpose matrix  Concatenate matrices vertically  Slice matrix  Calculate cov, mean and quantiles  Calculate inverse normal cdf Warm up
  • 5.  Calculate Fibonacci: f(n) = f(n-1)+f(n-2)  Calculate cumsum of 0,1,2…  Simulate Wiener process: W(t+dt) = W(t) + dt * Z, Z~N(0,1)  Simulate Geometric Brownian Motion process S(t+dt) = S(t)+S(t)*μ*dt+S(t)*σ*dt*Z, Z~N(0,1) Exercise 1: Series
  • 6.  Portfolio with 3 stocks: AAPL, MSFT and GOOG  Value V, allocated with weights w  ~500 daily historical prices  Calculate daily Log losses: L  Historical VaR(α=95%)=quantile(V*w*L.T)  Assume L~N(mean, cov)  Calculate normal VaR analytically Exercise 2: Portfolio VaR
  • 7.  Create custom menu with button to run the VaR model  Embed F# model and FCell runtime in workbook FCell Demo