FunctionBlackScholesLibrary "FunctionBlackScholes"
Some methods for the Black Scholes Options Model, which demonstrates several approaches to the valuation of a European call.
// reference:
// people.math.sc.edu
// people.math.sc.edu
asset_path(s0, mu, sigma, t1, n) Simulates the behavior of an asset price over time.
Parameters:
s0 : float, asset price at time 0.
mu : float, growth rate.
sigma : float, volatility.
t1 : float, time to expiry date.
n : int, time steps to expiry date.
Returns: option values at each equal timed step (0 -> t1)
binomial(s0, e, r, sigma, t1, m) Uses the binomial method for a European call.
Parameters:
s0 : float, asset price at time 0.
e : float, exercise price.
r : float, interest rate.
sigma : float, volatility.
t1 : float, time to expiry date.
m : int, time steps to expiry date.
Returns: option value at time 0.
bsf(s0, t0, e, r, sigma, t1) Evaluates the Black-Scholes formula for a European call.
Parameters:
s0 : float, asset price at time 0.
t0 : float, time at which the price is known.
e : float, exercise price.
r : float, interest rate.
sigma : float, volatility.
t1 : float, time to expiry date.
Returns: option value at time 0.
forward(e, r, sigma, t1, nx, nt, smax) Forward difference method to value a European call option.
Parameters:
e : float, exercise price.
r : float, interest rate.
sigma : float, volatility.
t1 : float, time to expiry date.
nx : int, number of space steps in interval (0, L).
nt : int, number of time steps.
smax : float, maximum value of S to consider.
Returns: option values for the european call, float array of size ((nx-1) * (nt+1)).
mc(s0, e, r, sigma, t1, m) Uses Monte Carlo valuation on a European call.
Parameters:
s0 : float, asset price at time 0.
e : float, exercise price.
r : float, interest rate.
sigma : float, volatility.
t1 : float, time to expiry date.
m : int, time steps to expiry date.
Returns: confidence interval for the estimated range of valuation.
Valuation
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Red color means the market price is higher than the valuation whereas green color means the market price is below the valuation and it might be a good opportunity for value traders. Gray color indicates non-applicable results, when valuation is below zero for example.
PE ValuationAn indicator that can be used to study PE Valuation for stocks.
When the reported EPS for a company is non-positive the line turns gray. Red color means the market price is higher than the valuation whereas green color means the market price is below the valuation and it might be a good opportunity for value traders.
DCF ValuationAn indicator that can be used to study Discounted Cash Flow Valuation for stocks.
When the reported Free Cash Flow for a company is non-positive the line turns gray. Red color means the market price is higher than the valuation whereas green color means the market price is below the valuation and it might be a good opportunity for value traders.
FA Valuation DashboardSimple Financial Ratio for investor.
User can insert CAGR value for PEG ratio.
UCSgears_Transaction Valuation IndexHere is the Version 2 of the TVI indicator posted earlier.
This is inspired from the Value Charts Indicator.
Version 1
UCSgears_Transaction Valuation IndexThis is an indicator, That works great in a wip-saw market range. Would not use this to trade in a breakout.
I am calling it the "Transaction Value Index (UCS_TVI)", The reason is because, it measure where the price currently from the mean trade value.
The cross represents the highest trade value on that day, circle represents the lowest trade value.
In other words, Top and bottom of the candle wicks, in relation to the mean trade value (MTV).
Watchout for Further Updates on Optimizing this indicator.
DO NOT CONFUSE IT WITH FUNDAMENTAL VALUATION, THIS IS PURELY TECHNICAL VALUATION TECHNIQUE
As Usual, Good Luck
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