scholarly journals An Optimal Portfolio and Capital Management Strategy for Basel III Compliant Commercial Banks

2014 ◽  
Vol 2014 ◽  
pp. 1-11 ◽  
Author(s):  
Grant E. Muller ◽  
Peter J. Witbooi
Keyword(s):  
Optimal Investment ◽  
Investment Strategy ◽  
Capital Adequacy ◽  
Basel Iii ◽  
Bank Capital ◽  
Optimal Investment Strategy ◽  
Capital Adequacy Ratio ◽  
Asset Portfolio ◽  
The Interest Rate ◽  
Strategy Subject

We model a Basel III compliant commercial bank that operates in a financial market consisting of a treasury security, a marketable security, and a loan and we regard the interest rate in the market as being stochastic. We find the investment strategy that maximizes an expected utility of the bank’s asset portfolio at a future date. This entails obtaining formulas for the optimal amounts of bank capital invested in different assets. Based on the optimal investment strategy, we derive a model for the Capital Adequacy Ratio (CAR), which the Basel Committee on Banking Supervision (BCBS) introduced as a measure against banks’ susceptibility to failure. Furthermore, we consider the optimal investment strategy subject to a constant CAR at the minimum prescribed level. We derive a formula for the bank’s asset portfolio at constant (minimum) CAR value and present numerical simulations on different scenarios. Under the optimal investment strategy, the CAR is above the minimum prescribed level. The value of the asset portfolio is improved if the CAR is at its (constant) minimum value.

scholarly journals Dynamics of Risk Factors Affecting the Capital Adequacy Ratio with Special Reference to UCO Bank

2019 ◽  
Vol 8 (2) ◽  
pp. 10-13
Author(s):  
Preeta Sinha ◽  
Protik Basu
Keyword(s):  
Market Risk ◽  
Capital Adequacy ◽  
Basel Iii ◽  
Bank Capital ◽  
Financial Reports ◽  
Factors Affecting ◽  
Operational Risks ◽  
Capital Adequacy Ratio ◽  
Using Data ◽  
Asset Quality

To reinforce the stability of the financial system, policy makers and the Basel committee have proposed Basel accord to ensure that financial institutions maintain sufficient capital buffers. Basel III framework emphasizes on sustained increase in bank capital in order to absorb the potential credit, market and operational risks. The capital adequacy requirement under Basel III norms are directly linked to the PCA (Prompt Corrective action) framework which has disrupted the flow of credit in the economy. Market risk, Credit risk, Operational risk and deposits are some of the factors affecting the capital adequacy ratio (CAR) which influences the bank performances. This study aims at analysing the most important factor responsible for the shrinking liquidity due to adherence of stringent capital adequacy ratio imposed by RBI. Currently 11 public sector Banks out of 21 PSUs under PCA has sequentially shrunk their loan book including UCO Bank. The bank’s asset quality has worsened over the years. Using regression analysis, this paper seeks to study the major determinants of Capital Adequacy ratio using data sets for the period from 2009 to 2018 of UCO bank. The data was collected from the financial reports of the UCO bank for the aforesaid period. Among the parameters considered, it was found that deposits affect the CAR the most and market risk has the lowest impact on CAR.

scholarly journals THE NEW CAPITAL ADEQUACY FRAMEWORK (BASEL III) OPTIONS AND ISSUES IN COMMERCIAL BANKS OF LITHUANIA

Ekonomika ◽  
2015 ◽  
Vol 93 (4) ◽  
pp. 119-134 ◽  
Author(s):  
Filomena Jasevičienė ◽  
Daiva Jurkšaitytė
Keyword(s):  
Banking Regulation ◽  
Capital Requirements ◽  
Capital Adequacy ◽  
System Stability ◽  
Basel Iii ◽  
Management Problem ◽  
Bank Capital ◽  
Factors Influencing ◽  
Capital Adequacy Ratio ◽  
The World

Currently, banking is one of the most regulated activities in the world, because banks are the most important institutional units engaged in financial intermediation and affects not only the whole national economy of the country, but the global financial market as well. One of the key components of banking regulation are requirements expected for the bank capital, which prevent the bank from various unforeseen risks incurring substantial losses and are a sort of guarantee to maintain the financial system stability. For this reason, it is useful to find out what factors affect the capital adequacy ratio, and what measures the banks are going to take in order to meet the new capital requirements. The present research reveals the options of the implementation of the new system and the main problems faced by banks. The paper consists of four main parts: review of theory and literature, the research methodology of the factors influencing the capital adequacy, the study of factors influencing the capital adequacy ratio, and the capital adequacy management problem areas according to the Basel III requirements and conclusions.

scholarly journals An Optimal Investment Strategy and Multiperiod Deposit Insurance Pricing Model for Commercial Banks

2018 ◽  
Vol 2018 ◽  
pp. 1-10 ◽  
Author(s):  
Grant E. Muller
Keyword(s):  
Optimal Control ◽  
Deposit Insurance ◽  
Optimal Investment ◽  
Investment Strategy ◽  
Pricing Model ◽  
Insurance Pricing ◽  
Optimal Investment Strategy ◽  
Asset Value ◽  
Asset Portfolio ◽  
Future Date

We employ the method of stochastic optimal control to derive the optimal investment strategy for maximizing an expected exponential utility of a commercial bank’s capital at some future date T>0. In addition, we derive a multiperiod deposit insurance (DI) pricing model that incorporates the explicit solution of the optimal control problem and an asset value reset rule comparable to the typical practice of insolvency resolution by insuring agencies. By way of numerical simulations, we study the effects of changes in the DI coverage horizon, the risk associated with the asset portfolio of the bank, and the bank’s initial leverage level (deposit-to-asset ratio) on the DI premium while the optimal investment strategy is followed.

scholarly journals Optimal Investment Strategy under the CEV Model with Stochastic Interest Rate

2020 ◽  
Vol 2020 ◽  
pp. 1-11
Author(s):  
Yong He ◽  
Peimin Chen
Keyword(s):  
Interest Rate ◽  
Optimal Investment ◽  
Investment Strategy ◽  
Risky Asset ◽  
Stochastic Interest Rate ◽  
Model Parameters ◽  
Optimal Investment Strategy ◽  
Stochastic Interest ◽  
Cev Process ◽  
The Interest Rate

Interest rate is an important macrofactor that affects asset prices in the financial market. As the interest rate in the real market has the property of fluctuation, it might lead to a great bias in asset allocation if we only view the interest rate as a constant in portfolio management. In this paper, we mainly study an optimal investment strategy problem by employing a constant elasticity of variance (CEV) process and stochastic interest rate. The assets of investment for individuals are supposed to be composed of one risk-free asset and one risky asset. The interest rate for risk-free asset is assumed to follow the Cox–Ingersoll–Ross (CIR) process, and the price of risky asset follows the CEV process. The objective is to maximize the expected utility of terminal wealth. By applying the dual method, Legendre transformation, and asymptotic expansion approach, we successfully obtain an asymptotic solution for the optimal investment strategy under constant absolute risk aversion (CARA) utility function. In the end, some numerical examples are provided to support our theoretical results and to illustrate the effect of stochastic interest rates and some other model parameters on the optimal investment strategy.

scholarly journals Optimal Investment-Consumption Strategy under Inflation in a Markovian Regime-Switching Market

2016 ◽  
Vol 2016 ◽  
pp. 1-17 ◽  
Author(s):  
Huiling Wu
Keyword(s):  
Regime Switching ◽  
Stock Price ◽  
Optimal Investment ◽  
Investment Strategy ◽  
Power Utility ◽  
Optimal Investment Strategy ◽  
Admissible Strategies ◽  
Definition Of ◽  
Markovian Regime Switching ◽  
Optimal Investment And Consumption

This paper studies an investment-consumption problem under inflation. The consumption price level, the prices of the available assets, and the coefficient of the power utility are assumed to be sensitive to the states of underlying economy modulated by a continuous-time Markovian chain. The definition of admissible strategies and the verification theory corresponding to this stochastic control problem are presented. The analytical expression of the optimal investment strategy is derived. The existence, boundedness, and feasibility of the optimal consumption are proven. Finally, we analyze in detail by mathematical and numerical analysis how the risk aversion, the correlation coefficient between the inflation and the stock price, the inflation parameters, and the coefficient of utility affect the optimal investment and consumption strategy.

scholarly journals Optimal Investment and Proportional Reinsurance in a Regime-Switching Market Model under Forward Preferences

Mathematics ◽  
2021 ◽  
Vol 9 (14) ◽  
pp. 1610
Author(s):  
Katia Colaneri ◽  
Alessandra Cretarola ◽  
Benedetta Salterini
Keyword(s):  
Stock Prices ◽  
Regime Switching ◽  
Common Factor ◽  
Optimal Investment ◽  
Investment Strategy ◽  
Market Model ◽  
Sensitivity Analyses ◽  
Model Parameters ◽  
Insurance Company ◽  
Optimal Investment Strategy

In this paper, we study the optimal investment and reinsurance problem of an insurance company whose investment preferences are described via a forward dynamic exponential utility in a regime-switching market model. Financial and actuarial frameworks are dependent since stock prices and insurance claims vary according to a common factor given by a continuous time finite state Markov chain. We construct the value function and we prove that it is a forward dynamic utility. Then, we characterize the optimal investment strategy and the optimal proportional level of reinsurance. We also perform numerical experiments and provide sensitivity analyses with respect to some model parameters.

Growth Optimal Investment Strategy: The Impact of Reallocation Frequency and Heavy Tails

2012 ◽  
Vol 13 (2) ◽  
pp. 228-240 ◽  
Author(s):  
G. Bamberg ◽  
A. Neuhierl
Keyword(s):  
Heavy Tails ◽  
Geometric Mean ◽  
Asymptotic Optimality ◽  
Optimal Investment ◽  
Investment Strategy ◽  
Risky Asset ◽  
Optimal Investment Strategy ◽  
Optimality Properties ◽  
Heavy Tailed ◽  
The Impact

Abstract The strategy to maximize the long-term growth rate of final wealth (maximum expected log strategy, maximum geometric mean strategy, Kelly criterion) is based on probability theoretic underpinnings and has asymptotic optimality properties. This article reviews the allocation of wealth in a two-asset economy with one risky asset and a risk-free asset. It is also shown that the optimal fraction to be invested in the risky asset (i) depends on the length of the basic return period and (ii) is lower for heavy-tailed log returns than for light-tailed log returns.

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