R Studio

Option Pricing Functions

  1. ## Option pricing Functions
  2. EuropeanOption <- function(type, underlying, strike, dividendYield,
  3. riskFreeRate, maturity, volatility) {
  4. UseMethod("EuropeanOption")
  5. }
  6. EuropeanOption.default <- function(type, underlying, strike, dividendYield,
  7. riskFreeRate, maturity, volatility) {
  8. type <- match.arg(type, c("call", "put"))
  9. val <- europeanOptionEngine(type, underlying, strike, dividendYield,
  10. riskFreeRate, maturity, volatility)
  11. class(val) <- c("EuropeanOption", "Option")
  12. val
  13. }
  14. AmericanOption <- function(type, underlying, strike, dividendYield,
  15. riskFreeRate, maturity, volatility,
  16. timeSteps=150, gridPoints=149,
  17. engine="BaroneAdesiWhaley") {
  18. UseMethod("AmericanOption")
  19. }
  20. AmericanOption.default <- function(type, underlying, strike, dividendYield,
  21. riskFreeRate, maturity, volatility,
  22. timeSteps=150, gridPoints=149,
  23. engine="BaroneAdesiWhaley") {
  24. type <- match.arg(type, c("call", "put"))
  25. engine <- match.arg(engine, c("BaroneAdesiWhaley", "CrankNicolson"))
  26. val <- americanOptionEngine(type, underlying, strike, dividendYield,
  27. riskFreeRate, maturity, volatility,
  28. timeSteps, gridPoints, engine)
  29. class(val) <- c("AmericanOption","Option")
  30. val
  31. }
  32. BinaryOption <- function(binType, type, excType, underlying, strike, dividendYield,
  33. riskFreeRate, maturity, volatility,
  34. cashPayoff) {
  35. UseMethod("BinaryOption")
  36. }
  37. BinaryOption.default <- function(binType, type, excType, underlying, strike, dividendYield,
  38. riskFreeRate, maturity, volatility,
  39. cashPayoff) {
  40. type <- match.arg(type, c("call", "put"))
  41. binType <- match.arg(binType, c("cash", "asset", "gap"))
  42. excType <- match.arg(excType, c("american", "european"))
  43. val <- binaryOptionEngine(binType, type, excType, underlying,
  44. strike, dividendYield, riskFreeRate,
  45. maturity, volatility, cashPayoff)
  46. class(val) <- c("BinaryOption", "Option")
  47. val
  48. }
  49. BarrierOption <- function(barrType, type, underlying, strike,
  50. dividendYield, riskFreeRate, maturity,
  51. volatility, barrier, rebate=0.0) {
  52. UseMethod("BarrierOption")
  53. }
  54. BarrierOption.default <- function(barrType, type, underlying, strike,
  55. dividendYield, riskFreeRate, maturity,
  56. volatility, barrier, rebate=0.0) {
  57. type <- match.arg(type, c("call", "put"))
  58. barrType <- match.arg(barrType, c("downin", "upin", "downout", "upout"))
  59. val <- barrierOptionEngine(barrType, type, underlying, strike, dividendYield,
  60. riskFreeRate, maturity, volatility, barrier, rebate)
  61. class(val) <- c("BarrierOption", "Option")
  62. val
  63. }
  64. plot.Option <- function(x, ...) {
  65. warning("No plotting available for class", class(x)[1],"\n")
  66. invisible(x)
  67. }
  68. print.Option <- function(x, digits=4, ...) {
  69. cat("Concise summary of valuation for", class(x)[1], "\n")
  70. print(round(unlist(x[1:7]), digits))
  71. invisible(x)
  72. }
  73. summary.Option <- function(object, digits=4, ...) {
  74. cat("Detailed summary of valuation for", class(object)[1], "\n")
  75. print(round(unlist(object[1:7]), digits))
  76. cat("with parameters\n")
  77. print(unlist(object[["parameters"]]))
  78. invisible(object)
  79. }
##  Option pricing Functions


EuropeanOption <- function(type, underlying, strike, dividendYield,
                           riskFreeRate, maturity, volatility) {
    UseMethod("EuropeanOption")
}

EuropeanOption.default <- function(type, underlying, strike, dividendYield,
                                   riskFreeRate, maturity, volatility) {
    type <- match.arg(type, c("call", "put"))
    val <- europeanOptionEngine(type, underlying, strike, dividendYield,
                                riskFreeRate, maturity, volatility)
    class(val) <- c("EuropeanOption", "Option")
    val
}

AmericanOption <- function(type, underlying, strike, dividendYield,
                           riskFreeRate, maturity, volatility,
                           timeSteps=150, gridPoints=149,
                           engine="BaroneAdesiWhaley") {
    UseMethod("AmericanOption")
}

AmericanOption.default <- function(type, underlying, strike, dividendYield,
                                   riskFreeRate, maturity, volatility,
                                   timeSteps=150, gridPoints=149,
                                   engine="BaroneAdesiWhaley") {
    type <- match.arg(type, c("call", "put"))
    engine <- match.arg(engine, c("BaroneAdesiWhaley", "CrankNicolson"))
    val <- americanOptionEngine(type, underlying, strike, dividendYield,
                                riskFreeRate, maturity, volatility,
                                timeSteps, gridPoints, engine)
    class(val) <- c("AmericanOption","Option")
    val
}

BinaryOption <- function(binType, type, excType, underlying, strike, dividendYield,
                         riskFreeRate, maturity, volatility,
                         cashPayoff) {
    UseMethod("BinaryOption")
}

BinaryOption.default <- function(binType, type, excType, underlying, strike, dividendYield,
                                 riskFreeRate, maturity, volatility,
                                 cashPayoff) {
    type <- match.arg(type, c("call", "put"))
    binType <- match.arg(binType, c("cash", "asset", "gap"))
    excType <- match.arg(excType, c("american", "european"))
    val <- binaryOptionEngine(binType, type, excType, underlying,
                              strike, dividendYield, riskFreeRate,
                              maturity, volatility, cashPayoff) 
    class(val) <- c("BinaryOption", "Option")
    val
}

BarrierOption <- function(barrType, type, underlying, strike,
                          dividendYield, riskFreeRate, maturity,
                          volatility, barrier, rebate=0.0) {
    UseMethod("BarrierOption")
}

BarrierOption.default <- function(barrType, type, underlying, strike,
                                  dividendYield, riskFreeRate, maturity,
                                  volatility, barrier, rebate=0.0) {
    type <- match.arg(type, c("call", "put"))
    barrType <- match.arg(barrType, c("downin", "upin", "downout", "upout"))
    val <- barrierOptionEngine(barrType, type, underlying, strike, dividendYield,
                               riskFreeRate, maturity, volatility, barrier, rebate)
    class(val) <- c("BarrierOption", "Option")
    val
}

plot.Option <- function(x, ...) {
    warning("No plotting available for class", class(x)[1],"\n")
    invisible(x)
}

print.Option <- function(x, digits=4, ...) {
    cat("Concise summary of valuation for", class(x)[1], "\n")
    print(round(unlist(x[1:7]), digits))
    invisible(x)
}

summary.Option <- function(object, digits=4, ...) {
    cat("Detailed summary of valuation for", class(object)[1], "\n")
    print(round(unlist(object[1:7]), digits))
    cat("with parameters\n")
    print(unlist(object[["parameters"]]))
    invisible(object)
}