{"product_id":"implied-volatility-functions-von-veli-matti-ahoranta","title":"Implied Volatility Functions","description":"\u003cp\u003eEvidences that there are volatility smiles and smirks in various financial  markets suggest that Black and Scholes (1973) valuation formula is not  completely valid. This thesis investigates implied volatility patterns and  ¿functions on Finnish warrant market. The intention of the thesis is to  find answers to the three following questions: what is the form of the  volatility structure in Finnish warrant markets? Does there exist a better  method to estimate volatilities than basic Black-Scholes constant  volatility model? In case that there exist a superior method to estimate  volatilities, is the method constantly best with every level of moneyness  and time to expiration? To find answers to these questions a sample  data is gathered from the year 2006 and then it is analysed by using  statistical measurements. The analysis provides interesting findings  about the existence of volatility structures in Finnish markets and it  provides interesting insights to the Finnish warrant markets\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783843382328\"\u003e\u003ch3\u003eEvidence from Finnish Warrant Market\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783843382328","offer_id":39469980778589,"sku":"9783843382328","price":49.0,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/8e837ca8-556b-4373-8f57-15c7890efcc8.jpg?v=1737441490","url":"https:\/\/shop.autorenwelt.de\/en\/products\/implied-volatility-functions-von-veli-matti-ahoranta","provider":"Autorenwelt Shop","version":"1.0","type":"link"}