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Other binomial approaches –
Other binomial approaches –

... The backward equation describes how the probability density function, f, changes when the initial time, t0, is allowed to change holding x and terminal time, t, constant. The forward equation describes how the probability density function changes when the terminal time, t, is allowed to vary and t0, ...
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Investment management

Investment management is the professional asset management of various securities (shares, bonds and other securities) and other assets (e.g., real estate) in order to meet specified investment goals for the benefit of the investors. Investors may be institutions (insurance companies, pension funds, corporations, charities, educational establishments etc.) or private investors (both directly via investment contracts and more commonly via collective investment schemes e.g. mutual funds or exchange-traded funds).The term asset management is often used to refer to the investment management of collective investments, while the more generic fund management may refer to all forms of institutional investment as well as investment management for private investors. Investment managers who specialize in advisory or discretionary management on behalf of (normally wealthy) private investors may often refer to their services as money management or portfolio management often within the context of so-called ""private banking"".The provision of investment management services includes elements of financial statement analysis, asset selection, stock selection, plan implementation and ongoing monitoring of investments. Coming under the remit of financial services many of the world's largest companies are at least in part investment managers and employ millions of staff.Fund manager (or investment advisor in the United States) refers to both a firm that provides investment management services and an individual who directs fund management decisions.According to a Boston Consulting Group study, the assets managed professionally for fees reached an all-time high of US$62.4 trillion in 2012, after remaining flat-lined since 2007. Furthermore, these industry assets under management were expected to reach US$70.2 trillion at the end of 2013 as per a Cerulli Associates estimate.The global investment management industry is highly concentrated in nature, in a universe of about 70,000 funds roughly 99.7% of the US fund flows in 2012 went into just 185 funds. Additionally, a majority of fund managers report that more than 50% of their inflows go to just three funds.
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