Search results for: T. Danjuma

Authors: T. Danjuma, N. M. Ike-Muonso, H. C. Chinwenyi

Abstract:

The price volatility of agricultural commodities in Nigeria market is very essential and understanding its future evolution is important for informed decision making to policymakers. In this paper, we examined the volatilities of some agricultural commodities such as maize (white), cowpeas (brown) and sorghum (white) in Mubi and Dawanau markets in the Northern part of the country and compared its volatilities with the same agricultural commodities from Lagos and Ibadan markets in the Western part of Nigeria.

Keywords: Agricultural commodity, agricultural market, derivatives, volatility, price.

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Authors: H. D. Ibrahim, H. C. Chinwenyi, T. Danjuma

Abstract:

An option is defined as a financial contract that provides the holder the right but not the obligation to buy or sell a specified quantity of an underlying asset in the future at a fixed price (called a strike price) on or before the expiration date of the option. This paper examined two approaches for derivation of Partial Differential Equation (PDE) options price valuation formula for the Heston stochastic volatility model. We obtained various PDE option price valuation formulas using the riskless portfolio method and the application of Feynman-Kac theorem respectively. From the results obtained, we see that the two derived PDEs for Heston model are distinct and non-unique. This establishes the fact of incompleteness in the model for option price valuation.

Keywords: Option price valuation, Partial Differential Equations, Black-Scholes PDEs, Ito process.

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