scholarly journals Optimal portfolios for the DC pension fund with mispricing under the HARA utility framework

2022 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Zilan Liu ◽  
Yijun Wang ◽  
Ya Huang ◽  
Jieming Zhou
Keyword(s):  
Financial Market ◽  
Pension Fund ◽  
Absolute Risk ◽  
Optimal Portfolio ◽  
Programming Approach ◽  
Defined Contribution ◽  
Optimal Portfolios ◽  
Fund Managers ◽  
Dynamic Programming Approach ◽  
Hara Utility

<p style='text-indent:20px;'>This paper studies the optimal portfolio selection for defined contribution (DC) pension fund with mispricing. We adopt the general hyperbolic absolute risk averse (HARA) utility to describe the risk performance of the pension fund managers. The financial market comprises a risk-free asset, a pair of mispriced stocks, and the market index. Using the dynamic programming approach, we construct the Hamilton-Jacobi-Bellman (HJB) equation and obtain the explicit expressions for optimal portfolio choices with two methods. Finally, numerical analysis is presented to illustrate the sensitivity of the optimal portfolios to parameters of the financial market and contribution process. <b>200</b> words.</p>

scholarly journals The Role of Inflation-indexed Bond in Optimal Management of Defined Contribution Pension Plan During the Decumulation Phrase

2018 ◽  
Author(s):  
Xiaoyi Zhang ◽  
Junyi Guo
Keyword(s):  
Pension Plan ◽  
Optimal Investment ◽  
Investment Strategy ◽  
Programming Approach ◽  
Defined Contribution ◽  
Inflation Risk ◽  
Dynamic Programming Approach ◽  
Optimal Investment Strategy ◽  
Defined Contribution Pension Plan ◽  
Hamilton Jacobi Bellman

In this paper we investigate the optimal investment strategy for a defined contribution (DC) pension plan during the decumulation phrase which is risk-averse and pays close attention to inflation risk. The plan aims to maximize the expected constant relative risk aversion (CRRA) utility from the terminal wealth by investing the wealth in a financial market consisting of an inflation-indexed bond, an ordinary zero coupon bond and a risk-free asset. We derive the optimal investment strategy in closed-form using the dynamic programming approach by solving the corresponding Hamilton-Jacobi-Bellman (HJB) equation. Our theoretical and numerical results reveal that under some rational assumptions, an inflation-indexed bond do has significant advantage to hedge inflation risk.

COVID-19 The Global Pandemic: Learning & Take Out for National Pension System (NPS)

2021 ◽  
Vol 4 (i) ◽  
Keyword(s):  
New York ◽  
Pension Fund ◽  
Pension System ◽  
Stock Exchange ◽  
Stock Exchanges ◽  
Security Market ◽  
Defined Benefit ◽  
Defined Contribution ◽  
Economic Activities ◽  
Fund Managers

The SARS Cov-2 (Covid 19) pandemic has shaken the whole world; it has brought the business, education, industry, transport, communications, travel, hospitality almost all the economic activities to a standstill. Accordingly, it has adversely affected the financial markets and stock exchanges across the globe. The stock exchanges, may it be New York Stock Exchange, Dow Jones, London Stock Exchange, Nikkei, Bombay Stock Exchange or National Stock Exchange experienced an unprecedented plunge of 40 to 50% in a period few weeks. This new dynamic of volatility possesses serious questions about the market driven National Pension System (NPS) which endeavor to ensure smooth retirement life for Indian elderly. The volatility in security market will significantly impact the fund managers’ performance and accordingly the retirement benefit of the subscriber. This article has investigated the impacts of pandemic on fund manager’s risk returns profile. We have used three industry standard risk-adjusted returns parameters such as Sharpe ratio, Treynor Ratio and Jensen’s alpha to evaluate the performance of NPS pension fund managers selected under study. The study has also explored the learning from such unexpected crisis for the policy makers for future preparedness. On the basis of finding, it has suggested some measures for long run sustainability of schemes under NPS. Keywords : NPS, PFRDA, Defined benefit, Defined contribution, Pension fund managers, Risk adjusted returns, COVID-19.

scholarly journals Optimal Portfolios for Different Anticipating Integrals under Insider Information

Mathematics ◽  
2020 ◽  
Vol 9 (1) ◽  
pp. 75
Author(s):  
Carlos Escudero ◽  
Sandra Ranilla-Cortina
Keyword(s):  
Portfolio Optimization ◽  
Financial Market ◽  
Investment Strategy ◽  
Stochastic Calculus ◽  
Optimal Portfolio ◽  
Simple Problem ◽  
Optimal Portfolios ◽  
Insider Information ◽  
Anticipating Stochastic Calculus ◽  
Potential Use

We consider the non-adapted version of a simple problem of portfolio optimization in a financial market that results from the presence of insider information. We analyze it via anticipating stochastic calculus and compare the results obtained by means of the Russo-Vallois forward, the Ayed-Kuo, and the Hitsuda-Skorokhod integrals. We compute the optimal portfolio for each of these cases with the aim of establishing a comparison between these integrals in order to clarify their potential use in this type of problem. Our results give a partial indication that, while the forward integral yields a portfolio that is financially meaningful, the Ayed-Kuo and the Hitsuda-Skorokhod integrals do not provide an appropriate investment strategy for this problem.

scholarly journals Portfolio Selection with Subsistence Consumption Constraints and CARA Utility

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Gyoocheol Shim ◽  
Yong Hyun Shin
Keyword(s):  
Portfolio Choice ◽  
Optimization Problem ◽  
Absolute Risk ◽  
Programming Approach ◽  
Optimal Consumption ◽  
Choice Problem ◽  
Dynamic Programming Approach ◽  
Cara Utility ◽  
Constant Absolute Risk Aversion ◽  
Consumption Constraints

We consider the optimal consumption and portfolio choice problem with constant absolute risk aversion (CARA) utility and a subsistence consumption constraint. A subsistence consumption constraint means there exists a positive constant minimum level for the agent’s optimal consumption. We use the dynamic programming approach to solve the optimization problem and also give the verification theorem. We illustrate the effects of the subsistence consumption constraint on the optimal consumption and portfolio choice rules by the numerical results.

scholarly journals A COMPARATIVE STUDY ON THE PERFORMANCE OF NIFTY 50 AND EQUITY FUNDS UNDER TIER-II OF NATIONAL PENSION SCHEME

2022 ◽  
pp. 17-26
Author(s):  
Dr. Baneshwar Kapasi ◽  
Miss. Saroj Mahato
Keyword(s):  
Pension Fund ◽  
Pension Scheme ◽  
Defined Contribution ◽  
Equity Fund ◽  
Fund Managers ◽  
Tier Ii ◽  
Equity Funds ◽  
The Government ◽  
Lock In ◽  
Tier I

The National Pension Scheme (NPS) is a defined contribution and a corporate pension fund that provides financial assistance to all Indian citizens. There are two types of accounts in the National Pension Scheme: Tier I and Tier II. Tier I is a mandatory deposit pension fund account and Tier II is a voluntary pension account. Tier I and Tier II is are consisted of different assets namely, equity, government security and alternative asset. The equity schemes are directly linked with the market. The return of all the fund managers in equity schemes are not same as the portfolio of all the fund managers are not same. Secondary data has been collected from respective websites of Pension Fund Managers and has been used to calculate mean, SD, Variance, and Correlation to predict the performance of equity funds. ANOVA and T-test have been for assessing the comparative analysis of the different fund managers under equity scheme in tier II. As per the study, LIC PF and ICICI PF are the best performer during the study period. The performance of SBI PF is poor among other equity funds under Tier-II of NPS during the study period. In term of risk, LIC PF is the higher risky equity fund and UIT PF is the lowest risky equity fund under Tier-II of NPS. It can be said that investors need to be high-risk taker to invest in that LIC PF. Through the risk analysis during said period of time, it is found that the ability to observe risk differs in equity funds under Tier-II of NPS. The main reason for this being a voluntary account of Tier -II. As there is no lock-in period in this account, the investors mostly use for a short-term purpose. In the recent decision of the government, Tier-II offers a lock-in period for 3 years with tax benefit. This decision may be affected the investment pattern of the investors. KEY WORDS: - National Pension Scheme, Performance, Equity Scheme, Nifty 50

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