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Karasiński
Karasiński (feminine: Karasińska) is a Polish surname. Notable people with the name include: * Jerzy Karasiński (1942–2015), Polish footballer * Katarzyna Karasińska (born 1982), Polish alpine skier * Piotr Karasinski, Polish-American quantitative analyst * Tomasz Karasiński (born 1973), Polish footballer Other * Black–Karasinski model, financial mathematical model of the term structure of interest rates See also

*Krasiński {{surname Polish-language surnames ...
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Jerzy Karasiński
Jerzy Karasiński (20 September 1942 – 22 November 2015) was a Polish Goalkeeper (association football), goalkeeper. He is considered one of Lech Poznań's greatest players of all time and was linked to the club in various functions after retiring from playing, including positions in the front office, scouting, and planning club events, which he famously referred to as "tending the garden." A product of Olimpia Poznań's youth team, he broke into the first team and was called up to the Poland national under-18 football team, Poland U18 national team in 1961, where he won a silver medal at the 1961 UEFA European Under-18 Championship, UEFA European Under-18 Championship in Portugal. It was quite likely that he would have spent his whole career with the club were it not for Lech Poznań's keenness to acquire him. Olimpia did not object to his transfer, as he was seriously ill at the time, and though he severed ties with Lech in 1965, he noted that "as long as the roots are not sev ...
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Tomasz Karasiński
Tomasz Karasiński (born 25 November 1973) is a Polish people, Polish former association football, footballer. He was in the broad squad of Stal Stalowa Wola when they played in the Ekstraklasa (without his debut). On 13 October 1999, he made his Polish Cup debut, as he played the entire game for Stal Gorzyce, Tłoki Gorzyce against KS Myszków. In the past, he was the top scorer of the II liga, III liga (then the third tier), as a footballer in Stal Gorzyce, Tłoki Gorzyce. References External links

* 1973 births Living people Polish men's footballers Men's association football midfielders Stal Stalowa Wola players II liga players Place of birth missing (living people) {{Poland-footy-midfielder-stub ...
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Krasiński
Krasiński (sometimes spelled Krasinsky, if originally transliterated from Russian, Ukrainian or Belarusian) is a surname of Polish, or generally Slavic, origin. In its feminine version, the Polish surname becomes Krasińska, and the Russian or Belarusian surname may become Krasinskaya. Krasiński family Krasiński family is a Polish noble family. Notable members of the Krasiński family may include: * Adam Stanisław Krasiński (1714–1800), Polish noble and bishop * Elżbieta Krasińska-Jaraczewska (1791–1832), Polish writer * Franciszka Krasińska (1742–1796), Polish noblewoman and wife of Charles of Saxony, Duke of Courland * Jan Dobrogost Krasiński (1639–1717), Polish noble and politician * Jan Kazimierz Krasiński (1607–1669), Polish noble and courtier * Jan Krasiński (1756–1790), Polish noble and military commander * Ludwik Krasiński (1609–1644), Polish noble and military commander * Kazimierz Krasiński (1725–1802), Count, Polish noble, politician an ...
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Katarzyna Karasińska
Katarzyna Karasińska (born 24 October 1982 in Wroclaw) is a world class Polish alpine skier. She achieved 5th place in the International Ski Federation's 2005 European Cup slalom event. She also competed in the 2006 Winter Olympics, ranking #30 in women's slalom, and in the 2005 Alpine Skiing World Cup 5 (five) is a number, numeral and digit. It is the natural number, and cardinal number, following 4 and preceding 6, and is a prime number. It has attained significance throughout history in part because typical humans have five digits on eac ..., ranking #41 in women's slalom. References 1982 births Living people Polish female alpine skiers Olympic alpine skiers for Poland Alpine skiers at the 2006 Winter Olympics Winter World University Games medalists in alpine skiing Sportspeople from Wrocław FISU World University Games gold medalists for Poland FISU World University Games bronze medalists for Poland Competitors at the 2007 Winter Universiade Competito ...
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Piotr Karasinski
Piotr Karasinski is a pioneering quantitative analyst, best known for the Black–Karasinski short-rate model which he co-developed with the late Fischer Black. His contributions to quantitative finance include models for interest rates, equity and hybrid products and random volatility. He is currently Director of Client Solutions at AlgoDynamix (from 2020) and Managing Director at Karasinski Consulting (from 2021). He is on the editorial board of the journal, ''Quantitative Finance'' Previously, he has held a number of positions at leading firms in New York and London including: Managing Director at HSBC, Director and Head Derivatives Research at Citibank, MD at Chemical Bank, Director at Deutsche Bank and Vice President at Goldman Sachs. He has also served as Senior Advisor at the European Bank for Reconstruction and Development. In a recent review The Black-Karasinski Model: Thirty Years On celebrating the thirty-year anniversary of publication of his seminal paper, he looks ...
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Black–Karasinski Model
In financial mathematics, the Black–Karasinski model is a mathematical model of the term structure of interest rates; see short-rate model. It is a one-factor model as it describes interest rate movements as driven by a single source of randomness. It belongs to the class of no-arbitrage models, i.e. it can fit today's zero-coupon bond prices, and in its most general form, today's prices for a set of caps, floors or European swaptions. The model was introduced by Fischer Black and Piotr Karasinski in 1991. Model The main state variable of the model is the short rate, which is assumed to follow the stochastic differential equation (under the risk-neutral measure): : d\ln(r) = theta_t-\phi_t \ln(r)\, dt + \sigma_t\, dW_t where ''dW''''t'' is a standard Brownian motion. The model implies a log-normal distribution for the short rate and therefore the expected value of the money-market account is infinite for any maturity. In the original article by Fischer Black and Piotr Karasi ...
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