Christopher Latham Sholes Christopher Latham Sholes Christopher Latham Sholes (February 14, 1819 – February 17, 1890) was an American inventor who invented the QWERTY keyboard, and along with Samuel W. Soule, Carlos Glidden and John Pratt, has been contended as one of the inventors of the first typewriter in the United States. He was also a newspaper publisher and Wisconsin politician. Born in Mooresburg, in Montour County, Pennsylvania, Sholes moved to nearby Danville and worked there as an apprentice to a printer. After completing his apprenticeship, Sholes moved to Milwaukee, Wisconsin in 1837, and later to Southport, Wisconsin (present-day Kenosha). He became a
Black–Scholes model are: In short, while in the Black–Scholes model one can perfectly hedge options by simply Delta hedging, in practice there are many other sources of risk. Results using the Black–Scholes model differ from real world prices because of simplifying assumptions of the model. One significant limitation is that in reality security prices do not follow a strict stationary log-normal process, nor is the risk-free interest actually known (and is not constant over time). The variance has been observed to be non-constant leading to models such as GARCH to model volatility changes. Pricing discrepancies between empirical and the Black–Scholes model have