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test-Implied_Volatility
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hudde committed Aug 29, 2023
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72 changes: 72 additions & 0 deletions tests/testthat/test-Implied_Volatility.R
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test_that("implied volatility is correct", {
# The implied volatility is computed with different parameters, one of them
# being `option_price`. The resulting `implied_volatility` is the used to
# compute the `option_price_tets`. Both values should be very close

number_of_runs <- 2

set.seed(42)
initial_price <- runif(number_of_runs, 90, 110)
exercise_price <- runif(number_of_runs, 90, 110)
r <- runif(number_of_runs, -0.01, 0.1)
time_to_maturity <- runif(number_of_runs, 0.2, 6)
dividend_yield <- runif(number_of_runs, 0, 0.1)
model <- "Black_Scholes"
option_type <- c(rep(c("European"), 2))
payoff <- rep(c("call", "put"), 1)
volatility_to_compute_initial_price <- runif(number_of_runs, 0.01, 1)

option_price <- numeric(number_of_runs)
option_price_test <- numeric(number_of_runs)

for(i in 1:number_of_runs) {
option_price[i] <-
Greeks(
initial_price = initial_price[i],
exercise_price = exercise_price[i],
r = r[i],
time_to_maturity = time_to_maturity[i],
volatility = volatility_to_compute_initial_price[i],
dividend_yield = dividend_yield[i],
option_type = option_type[i],
payoff = payoff[i],
greek = "fair_value"
)
}

implied_volatility <- numeric(number_of_runs)

for(i in 1:number_of_runs) {

implied_volatility[i] <-
Implied_Volatility(
option_price = option_price[i],
initial_price = initial_price[i],
exercise_price = exercise_price[i],
r = r[i],
time_to_maturity = time_to_maturity[i],
dividend_yield = dividend_yield[i],
model = model,
option_type = option_type[i],
payoff = payoff[i]
)

option_price_test[i] <-
Greeks(
initial_price = initial_price[i],
exercise_price = exercise_price[i],
r = r[i],
time_to_maturity = time_to_maturity[i],
volatility = implied_volatility[i],
dividend_yield = dividend_yield[i],
model = model,
option_type = option_type[i],
payoff = payoff[i],
greek = "fair_value"
)

}

expect(max(abs(option_price_test - option_price)) < 1e-06)

})

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