Demonstration of a Black-Scholes Model in C

Note that there are two models, a pure Monte Carlo implementation
and the closed form Black-Scholes equation.

To install:
	$ git clone https://github.com/kevindkeogh/opt-pricer.git
	$ cd opt-pricer
	$ make && sudo make install
	$ opt-pricer --spot 100 \
		     --strike 100 \
		     --rfr 0.03 \
		     --implied-volatility 0.2 \
		     --effective-date 2017-12-30 \
		     --expiry-date 2019-06-30 \
		     --call \
		     -N 10000000


	   Valuation date: 2017-12-30

		     	         | BS Analytic | BS Monte Carlo |
		    ---------------------------------------------
		    |Type:       |       Call  |          Call  |
		    |Spot:       |     100.00  |        100.00  |
		    |Expiry:     | 2019-06-30  |    2019-06-30  |
		    |Strike:     |     100.00  |        100.00  |
		    |Risk-free:  |       3.00% |          3.00% |
		    |Implied Vol:|      20.00% |         20.00% |
		    ---------------------------------------------
		    |Fair value: |    11.8866  |       11.8941  |
		    |Delta:      |     0.6202  |        0.6206  |
		    |Gamma:      |     0.0253  |        0.0134  |
		    |Vega:       |     0.4660  |        0.4668  |
		    |Theta:      |    -4.6138  |       -4.6235  |
		    |Rho:        |     0.7513  |        0.7699  |
		    |Simulations:|             |   100,000,000  |
		    ---------------------------------------------


Recommended number of simulations is 100,000,000 for Gamma convergence, the
other Greeks converge by 1,000,000.

TODO:
 1. Find a C implementation for Sobol sequence so that Gamma convergence
    is faster
 2. Tests...
 3. Parallelize code