# Pricing of Weather Derivatives

The formula which we are using is a specific formula for pricing HDD Call Options using[ Monte Carlo Simulations](https://www.investopedia.com/terms/m/montecarlosimulation.asp). This formula is a variation of[ Black Scholes](https://www.investopedia.com/terms/b/blackscholes.asp) option pricing model which is a widely used model for pricing financial options.<br>

<figure><img src="https://lh7-us.googleusercontent.com/DiH2Y1yzEbTd_r45FPG9PNGHtdgELs1e88JWVp_-EK2_v5WCETGHojSWYtXW2QJaJh7NgpSjXvU1rpiC_ZZYBQ6KZNegcnh53cgHXvwgM5-dgI_CsOJ5n9T0XArYvNDr4kK2RyvIl3XTtha0D3dy9b8" alt=""><figcaption><p>Derivative</p></figcaption></figure>

where,

CHDD = Price of the HDD Call Option

e-r(T2 - T1) = discount factor, which accounts for the time value of money and reflects the present value of future cash flows.

Np = Principal Nominal, which is a multiplier for the payout

max(HDDs(T1 - T2) - K, 0) = Calculates positive difference between the cumulative HDD during the specified period and the strike level

K = Strike level or threshold for the cumulative Heating Degree Days (HDDs)\
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For more info. refer to[ this article](https://www.hindawi.com/journals/amete/2015/837293/).