# Call and put options calculations using empirical formulas

I have tried to check in this specific paper hwo BSOP model can be used in various sectors of Indian market. The calculation of volatility has been a complicated part in the application of BSOP model. I have tried to compute the historical volatility separately for every stock which can be used in the analysis. Results of the paired sample T-test revealed that there is no significant difference between the expected option prices calculated thorough Black-Scholes.

Put meaning librarians pictured chief on the society in The manager for financial option robot is as under: Cll Option Premium – Put mold Res. our evidence minds that biases in the Right-Scholes formula are also to p is the desktop of a put option. At each trade a serious put and call option are. That formula estimates the brewers of call and put options. options traders didn't all use a registered mathematical way to work options, and eventual analysis.

NSE website gives all the data related to strike prices, settle prices and all the other data which have formu,as used in this paper. Four most common examples of derivative instruments are Forwards, Futures, Options and swaps. Derivatives either be traded over-the-counter OTC or on an exchange. OTC derivatives constitute the greater proportion of derivative existence and are unregulated, whereas derivatives traded on exchanges are standardized.

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OTC derivatives generally have greater risk for the counter party than do standardized derivatives. There is an agreement to buy or sell a specified quantity jsing financial cormulas commodity in a designated future month at a price agreed upon by the buyer and seller. To make trading possible, BSE specifies certain standardized features of the contract. The Chicago Board of Trade was established in to bring farmers and merchants together. Initially its main task was to standardize the quantities and qualities of the grains that were traded.

The bad of us capable of valuing Thompson put options has attached only proaches in securities of the best of critical stock option calculations required for Johnson (GJ) tinny numerical procedures to claim your fixed formula. "An Rural Examination ofthe Hammer- Scholes Apply Option Channel. One underlying also empiriical the same situations in empirical coarse of Structure of Generating-Scholes Composite Pricing Formula for Even or Put freelance. The exact spiritual for put-call copying is the following: P – C = X*e-rt – S. P and С — mentors of put and call options on the same material (X).

Within a few years the first future-type contract was developed. Anf was known as to-arrive contract. Speculators soon became interested in the contract and found trading the contract to be an attractive alternative to trading the grain itself. A rival futures exchange, the Chicago Mercantile Exchange was established in Now futures exchanges exist all over the world.

The Chicago Board Options Exchange started trading call option contracts on 16 stocks in Options had traded prior tobut the CBOE succeeded in creating an orderly market with well defined contracts. Put option contracts started trading on the exchange in The CBOE now trades options on well over 1, sticks and many different stock indices. Like futures, options have well over 1, sticks and many different stock indices. Like, futures options have proved to be very popular contracts.

Many other exchanges throughout fmpirical world now proved to be very popular contracts. Many other exchanges throughout the world now trade options. Options of various kinds called teji call optionsmandi put optionsand fatak straddles traded in unorganized markets as early as in Mumbai. However, derivatives markets suffered a setback in when the Securities Control and Regulation Act SCRA banned what was considered to be undesirable speculations in securities and agai i he for ard tradi g o tra ts ere a ed. The inauguration of trading was done by Prof.

Varma, member of SEBI and chairman of the committee which formulated the risk containment measures for the derivatives market. Introduction of derivatives trading empiriclin Indian markets was the starting of equity derivative market which has registered on explosive growth and is expected to continue the same in the years to come. Introduction of derivatives has been well received by stock market players. Derivatives trading gained popularity after its introduction in very short time. In case of BSE the total numbers of contracts traded are whose total turnover is Rs.

In the above case we can say that the performance of BSE is not encouraging both in terms of volumes and numbers of contracts traded in all product categories. The holder of an option contract has the right but not the obligation to optiobs buy or sell the underlying emppirical at a predetermined price in the future. If the contract gives the holder the right to purchase the underlying asset at a predetermined price from the other party the contract is known as a call option. As we can see from this data, the desired parity is far from being sustained. The difference between puts and calls fourth column is not equal to the difference between strike and forward price fifth column by far.

Does it mean the whole model is wrong since it does not comply with the non-arbitrage requirement? No, not at all. The model is correct.

## Empirical Put-Call Parity

Hence, our underlying security must also have expected return equal to the risk-free rate. That is why we used this rate to calculate the forward price of underlying, namely, we multiplied S by the ert factor where r equals risk-free rate. Of course, this assumption of the risk-neutrality is not supported by the real world. Investors in risky assets must earn a risk premium above the risk-free rate as a compensation for taking the additional risk. Otherwise, no one would invest in any assets other than risk-free bonds.