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Merton's portfolio problem is a problem in continuous-time finance and in particular intertemporal portfolio choice.An investor must choose how much to consume and must allocate their wealth between stocks and a risk-free asset so as to maximize expected utility.
A typical application of VaR is in investment banking, where the bank holds economic “risk capital” corresponding to the estimated number; see Financial risk management § Banking. VaR is also used in portfolio risk management , where, as above, simulation allows the fund manager to estimate losses at a given horizon and confidence level ...
Financial risk modeling is the use of formal mathematical and econometric techniques to measure, monitor and control the market risk, credit risk, and operational risk on a firm's balance sheet, on a bank's accounting ledger of tradeable financial assets, or of a fund manager's portfolio value; see Financial risk management.
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In financial mathematics, a risk measure is used to determine the amount of an asset or set of assets (traditionally currency) to be kept in reserve. The purpose of this reserve is to make the risks taken by financial institutions , such as banks and insurance companies, acceptable to the regulator .
Asset allocation is the implementation of an investment strategy that attempts to balance risk versus reward by adjusting the percentage of each asset in an investment portfolio according to the investor's risk tolerance, goals and investment time frame. [1] The focus is on the characteristics of the overall portfolio.
Risk sensitivity - Capital requirements based on internal estimates are more sensitive to the credit risk in the bank's portfolio of assets; Incentive compatibility - Banks must adopt better risk management techniques to control the credit risk in their portfolio to minimize regulatory capital; To use this approach, a bank must take two major ...
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