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Keywords = variance risk premium

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25 pages, 729 KiB  
Article
Dynamics of Green and Conventional Bonds: Hedging Effectiveness and Sustainability Implication
by Rihab Belguith
Int. J. Financial Stud. 2025, 13(2), 106; https://doi.org/10.3390/ijfs13020106 - 6 Jun 2025
Cited by 1 | Viewed by 514
Abstract
This research examines the challenges of issuing green bonds due to a lack of established benchmarks. We compare regional differences between the U.S. and the E.U., hypothesizing that issuers of green bonds stand to benefit from comparing them to conventional (black) bonds. As [...] Read more.
This research examines the challenges of issuing green bonds due to a lack of established benchmarks. We compare regional differences between the U.S. and the E.U., hypothesizing that issuers of green bonds stand to benefit from comparing them to conventional (black) bonds. As most investors prioritize net positive returns as opposed to intangible sustainability metrics, the existence of a “green premium”, defined as the opportunity to price green bonds differently, remains to be proven. To this end, we employ a time-varying parameter vector autoregression (TVP-VAR), first deriving dynamic variance–covariance matrices and then conducting variance decomposition analysis to gauge connectedness and spillover effects of various bond benchmarks. Implementing multivariate portfolio construction strategies, we investigate the hedging capabilities of green and black bonds. Our findings show that both green and black bonds contribute to portfolio diversification as a risk management strategy. The paper highlights the role played by green bonds in promoting financial stability. Full article
(This article belongs to the Special Issue Investment and Sustainable Finance)
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25 pages, 572 KiB  
Article
Uncertainty in Pricing and Risk Measurement of Survivor Contracts
by Kenrick Raymond So, Stephanie Claire Cruz, Elias Antonio Marcella, Jeric Briones and Len Patrick Dominic Garces
Risks 2025, 13(2), 35; https://doi.org/10.3390/risks13020035 - 18 Feb 2025
Viewed by 831
Abstract
As life expectancy increases, pension plans face growing longevity risk. Standardized longevity-linked securities such as survivor contracts allow pension plans to transfer this risk to capital markets. However, more consensus is needed on the appropriate mortality model and premium principle to price these [...] Read more.
As life expectancy increases, pension plans face growing longevity risk. Standardized longevity-linked securities such as survivor contracts allow pension plans to transfer this risk to capital markets. However, more consensus is needed on the appropriate mortality model and premium principle to price these contracts. This paper investigates the impact of the mortality model and premium principle choice on the pricing, risk measurement, and modeling of survivor contracts. We present a framework for evaluating risk measures associated with survivor contracts, specifically survivor forwards (S-forward) and survivor swaps (S-swaps). We analyze how the mortality model and premium principle assumptions affect pricing and risk measures (value-at-risk and expected shortfall). Four mortality models (Lee–Carter, Renshaw–Haberman, Cairns–Blake–Dowd, and M6) and eight premium principles (Wang, proportional hazard, dual power, Gini, exponential, standard deviation, variance, and median absolute deviation) are considered. Our analysis highlights the need to refine mortality models and premium principles to enhance pricing accuracy and risk management. We also suggest regulators and practitioners incorporate expected shortfall alongside value-at-risk to capture tail risks and improve capital allocation. Full article
(This article belongs to the Special Issue Applied Financial and Actuarial Risk Analytics)
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16 pages, 283 KiB  
Article
Weight-Adjusted Waist Index as a New Useful Tool for Assessing Body Composition and Risk of Metabolic Disorders in Adult Women
by Martina Gažarová, Laura Hačková, Zoia Sharlovych, Petra Lenártová, Mária Kijovská, Jana Pastrnáková and Tetiana Kutiuhova
Appl. Sci. 2025, 15(3), 1335; https://doi.org/10.3390/app15031335 - 27 Jan 2025
Cited by 3 | Viewed by 1681
Abstract
(1) Background: Commonly used anthropometric indices have limitations that discriminate their relevance. The subject of this research was to evaluate the health risks associated with body composition using the new weight-adjusted waist index (WWI). (2) Materials and Methods: The research group consisted of [...] Read more.
(1) Background: Commonly used anthropometric indices have limitations that discriminate their relevance. The subject of this research was to evaluate the health risks associated with body composition using the new weight-adjusted waist index (WWI). (2) Materials and Methods: The research group consisted of two hundred and thirty-nine Caucasian women. Body composition was analyzed by the MF-BIA method using InBody 970. The WWI was calculated as waist circumference divided by the square root of weight. Biochemical parameters (lipid profile, glucose, hs-CRP and uric acid) were analyzed using a Biolis 24i Premium biochemical analyser. One-factor variance analysis, a post-hoc test, Pearson correlation analysis and WWI quartiles were used for the statistical evaluation. (3) Results: The results showed significant differences between WWI quartiles. Compared to the lowest quartile, participants in the highest quartile groups had the highest values of body weight (58.49 vs. 87.17 kg; p < 0.001), waist circumference (WC) (76.47 vs. 109.45 cm; p < 0.001), body mass index (BMI) (20.65 vs. 32.06 kg/m2; p < 0.001), waist-to-hip ratio (WHR) (0.84 vs. 1.03; p < 0.001), waist-to-height ratio (WHtR) (0.46 vs. 0.66; p < 0.001), fat-free mass (FFM) (44.97 vs. 49.12 kg; p < 0.001), fat mass (FM) (13.52 vs. 38.05 kg; p < 0.001) and visceral fat area (VFA) (56.94 vs. 150.62 cm2; p < 0.001), confirming a higher risk of obesity. The women in the highest quartile had significantly higher values of total cholesterol (TC), triglycerides (TG), glucose (GLU), uric acid (UA), high-sensitivity C-reactive protein (hs-CRP) and systolic and diastolic blood pressure (BP). The correlations showed a strong positive relationship of the WWI with WC (r = 0.924), VFA (r = 0.907) and FM (r = 0.901) and a strong negative relationship with %FFM (r = −0.9) and %SMM (skeletal muscle mass) (r = −0.887). The correlation analysis also confirmed a strong positive association with WHR (r = 0.964), WHtR (r = 0.944), FMI (r = 0.902) and BMI (r = 0.863). (4) Conclusions: Our results confirmed that the WWI is a useful tool for assessing fat and muscle components, as well as for assessing health risks. Full article
(This article belongs to the Special Issue Novel Anthropometric Techniques for Health and Nutrition Assessment)
23 pages, 3692 KiB  
Article
Metabolic Profiling and Stable Isotope Analysis of Wines: Pilot Study for Cross-Border Authentication
by Marius Gheorghe Miricioiu, Roxana Elena Ionete, Diana Costinel, Svetlana Simova, Dessislava Gerginova and Oana Romina Botoran
Foods 2024, 13(21), 3372; https://doi.org/10.3390/foods13213372 - 23 Oct 2024
Cited by 5 | Viewed by 1476
Abstract
Globalization and free market dynamics have significantly impacted state economies, particularly in the wine industry. These forces have introduced greater diversity in wine products but have also heightened the risk of food fraud, especially in high-value commodities like wine. Due to its market [...] Read more.
Globalization and free market dynamics have significantly impacted state economies, particularly in the wine industry. These forces have introduced greater diversity in wine products but have also heightened the risk of food fraud, especially in high-value commodities like wine. Due to its market value and the premium placed on quality, wine is frequently subject to adulteration. This issue is often addressed through regulatory trademarks on wine labels, such as Protected Designation of Origin (PDO) and Protected Geographic Indication (PGI). In this context, the metabolic profiles (organic acids, carbohydrates, and phenols) and stable isotope signatures (δ13C, δ18O, D/HI, and D/HII) of red and white wines from four agroclimatically similar regions were examined. The study explored how factors such as grape variety, harvest year, and geographical origin affect wine composition, with a particular focus on distinguishing samples from cross-border areas. Multivariate statistical analysis was used to assess the variability in wine composition and to identify distinct groups of samples. Preliminary results revealed that organic acids and volatile compounds were found in lower concentrations than carbohydrates but were significantly higher than phenols, with levels ranging between 1617 mg/L and 6258 mg/L. Carbohydrate content in the wines varied from 8285 mg/L to 14662 mg/L. Principal Component Analysis (PCA) indicated certain separation trends based on the variance in carbohydrates (e.g., fructose, glucose, galactose) and isotopic composition. However, Discriminant Analysis (DA) provided clear distinctions based on harvest year, variety, and geographical origin. Full article
(This article belongs to the Special Issue Advanced Research and Development of Carbohydrate from Foods)
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22 pages, 407 KiB  
Review
Impact of Heat Stress on Broiler Chicken Production
by Oluwabunmi O. Apalowo, Deji A. Ekunseitan and Yewande O. Fasina
Poultry 2024, 3(2), 107-128; https://doi.org/10.3390/poultry3020010 - 29 Apr 2024
Cited by 30 | Viewed by 15923
Abstract
Poultry farmers need to consider making adaptations now to help reduce cost, risk, and concern in the future; the industry’s high and unstable input costs, which result in losses, need to incentivize manufacturers to concentrate on efficient management, welfare, and health improvements, thereby [...] Read more.
Poultry farmers need to consider making adaptations now to help reduce cost, risk, and concern in the future; the industry’s high and unstable input costs, which result in losses, need to incentivize manufacturers to concentrate on efficient management, welfare, and health improvements, thereby creating premium and value-added products. Heat stress, a significant concern, particularly affects broiler chicken, which is vital for global meat supply in the dynamic field of poultry farming. Despite advances in breeding and management, these pressures have a negative influence on avian development, well-being, and overall health, threatening the poultry industry’s long-term viability. This study investigates the physiological reactions and production consequences of various heat conditions in the chicken business. It thoroughly investigates the complicated implications of heat stress, which has a negative impact on broiler performance and causes economic losses. This article investigates various dietary techniques, such as antioxidants, probiotics, amino acid balance, and vitamin supplementation, with the goal of improving chicken thermotolerance as part of a comprehensive stress reduction strategy. This assessment emphasizes the industry’s continuous commitment to sustainable practices by highlighting the need for more research to enhance methodology, investigate creative tactics, and address regional variances in heat stress. Full article
20 pages, 10168 KiB  
Article
Risk Premium of Bitcoin and Ethereum during the COVID-19 and Non-COVID-19 Periods: A High-Frequency Approach
by José Antonio Núñez-Mora, Mario Iván Contreras-Valdez and Roberto Joaquín Santillán-Salgado
Mathematics 2023, 11(20), 4395; https://doi.org/10.3390/math11204395 - 23 Oct 2023
Viewed by 1938
Abstract
This paper reports our findings on the return dynamics of Bitcoin and Ethereum using high-frequency data (minute-by-minute observations) from 2015 to 2022 for Bitcoin and from 2016 to 2022 for Ethereum. The main objective of modeling these two series was to obtain a [...] Read more.
This paper reports our findings on the return dynamics of Bitcoin and Ethereum using high-frequency data (minute-by-minute observations) from 2015 to 2022 for Bitcoin and from 2016 to 2022 for Ethereum. The main objective of modeling these two series was to obtain a dynamic estimation of risk premium with the intention of characterizing its behavior. To this end, we estimated the Generalized Autoregressive Conditional Heteroskedasticity in Mean with Normal-Inverse Gaussian distribution (GARCH-M-NIG) model for the residuals. We also estimated the other parameters of the model and discussed their evolution over time, including the skewness and kurtosis of the Normal-Inverse Gaussian distribution. Similarly, we determined the parameters that define the evolution of the estimated variance, i.e., the parameters related to the fitted past variance, square error and long-term average value. We found that, despite the market uncertainty during the COVID-19 emergency period (2020 and 2021), the selected cryptocurrencies’ return volatility and kurtosis were even greater for several other subperiods within our sample’s time frame. Our model represents an analytical tool that estimates the risk premium that should be delivered by Bitcoin and Ethereum and is therefore of interest to risk managers, traders and investors. Full article
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18 pages, 624 KiB  
Article
Cyber Insurance Premium Setting for Multi-Site Companies under Risk Correlation
by Loretta Mastroeni, Alessandro Mazzoccoli and Maurizio Naldi
Risks 2023, 11(10), 167; https://doi.org/10.3390/risks11100167 - 22 Sep 2023
Cited by 1 | Viewed by 2138
Abstract
Correlation in cyber risk represents an additional source of concern for utility and industrial infrastructures, where risks may be introduced by connected systems. A major means of reducing risk is to transfer it through insurance. In this paper, we consider a company which [...] Read more.
Correlation in cyber risk represents an additional source of concern for utility and industrial infrastructures, where risks may be introduced by connected systems. A major means of reducing risk is to transfer it through insurance. In this paper, we consider a company which has peripheral branches in addition to its headquarters, where risk correlation is present between all of its sites and insurance is adopted to hedge against economic losses. We employ the expected utility principle (which leads to the well-known mean variance premium formula) to derive the insurance premium under risk correlation under several risk scenarios. Under a first-order approximation, a quasi-linear relationship between the premium and the two major risk factors (the number of branches and the risk correlation coefficient) is determined. Full article
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23 pages, 746 KiB  
Article
Distributionally Robust Reinsurance with Glue Value-at-Risk and Expected Value Premium
by Wenhua Lv and Linxiao Wei
Mathematics 2023, 11(18), 3923; https://doi.org/10.3390/math11183923 - 15 Sep 2023
Cited by 1 | Viewed by 1160
Abstract
In this paper, we explore a distributionally robust reinsurance problem that incorporates the concepts of Glue Value-at-Risk and the expected value premium principle. The problem focuses on stop-loss reinsurance contracts with known mean and variance of the loss. The optimization problem can be [...] Read more.
In this paper, we explore a distributionally robust reinsurance problem that incorporates the concepts of Glue Value-at-Risk and the expected value premium principle. The problem focuses on stop-loss reinsurance contracts with known mean and variance of the loss. The optimization problem can be formulated as a minimax problem, where the inner problem involves maximizing over all distributions with the same mean and variance. It is demonstrated that the inner problem can be represented as maximizing either over three-point distributions under some mild condition or over four-point distributions otherwise. Additionally, analytical solutions are provided for determining the optimal deductible and optimal values. Full article
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29 pages, 1122 KiB  
Article
The New Exponentiated Half Logistic-Harris-G Family of Distributions with Actuarial Measures and Applications
by Gayan Warahena-Liyanage, Broderick Oluyede, Thatayaone Moakofi and Whatmore Sengweni
Stats 2023, 6(3), 773-801; https://doi.org/10.3390/stats6030050 - 31 Jul 2023
Cited by 7 | Viewed by 1823
Abstract
In this study, we introduce a new generalized family of distributions called the Exponentiated Half Logistic-Harris-G (EHL-Harris-G) distribution, which extends the Harris-G distribution. The motivation for introducing this generalized family of distributions lies in its ability to overcome the limitations of previous families, [...] Read more.
In this study, we introduce a new generalized family of distributions called the Exponentiated Half Logistic-Harris-G (EHL-Harris-G) distribution, which extends the Harris-G distribution. The motivation for introducing this generalized family of distributions lies in its ability to overcome the limitations of previous families, enhance flexibility, improve tail behavior, provide better statistical properties and find applications in several fields. Several statistical properties, including hazard rate function, quantile function, moments, moments of residual life, distribution of the order statistics and Rényi entropy are discussed. Risk measures, such as value at risk, tail value at risk, tail variance and tail variance premium, are also derived and studied. To estimate the parameters of the EHL-Harris-G family of distributions, the following six different estimation approaches are used: maximum likelihood (MLE), least-squares (LS), weighted least-squares (WLS), maximum product spacing (MPS), Cramér–von Mises (CVM), and Anderson–Darling (AD). The Monte Carlo simulation results for EHL-Harris-Weibull (EHL-Harris-W) show that the MLE method allows us to obtain better estimates, followed by WLS and then AD. Finally, we show that the EHL-Harris-W distribution is superior to some other equi-parameter non-nested models in the literature, by fitting it to two real-life data sets from different disciplines. Full article
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24 pages, 3233 KiB  
Article
Optimal Reinsurance–Investment Strategy Based on Stochastic Volatility and the Stochastic Interest Rate Model
by Honghan Bei, Qian Wang, Yajie Wang, Wenyang Wang and Roberto Murcio
Axioms 2023, 12(8), 736; https://doi.org/10.3390/axioms12080736 - 27 Jul 2023
Cited by 1 | Viewed by 1943
Abstract
This paper studies insurance companies’ optimal reinsurance–investment strategy under the stochastic interest rate and stochastic volatility model, taking the HARA utility function as the optimal criterion. It uses arithmetic Brownian motion as a diffusion approximation of the insurer’s surplus process and the variance [...] Read more.
This paper studies insurance companies’ optimal reinsurance–investment strategy under the stochastic interest rate and stochastic volatility model, taking the HARA utility function as the optimal criterion. It uses arithmetic Brownian motion as a diffusion approximation of the insurer’s surplus process and the variance premium principle to calculate premiums. In this paper, we assume that insurance companies can invest in risk-free assets, risky assets, and zero-coupon bonds, where the Cox–Ingersoll–Ross model describes the dynamic change in stochastic interest rates and the Heston model describes the price process of risky assets. The analytic solution of the optimal reinsurance–investment strategy is deduced by employing related methods from the stochastic optimal control theory, the stochastic analysis theory, and the dynamic programming principle. Finally, the influence of model parameters on the optimal reinsurance–investment strategy is illustrated using numerical examples. Full article
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19 pages, 1141 KiB  
Article
A Geologic-Actuarial Approach for Insuring the Extraction Tasks of Non-Renewable Resources by One and Two Agents
by Rigoberto Real-Miranda and José Daniel López-Barrientos
Mathematics 2022, 10(13), 2242; https://doi.org/10.3390/math10132242 - 26 Jun 2022
Cited by 6 | Viewed by 1769
Abstract
This work uses classic stochastic dynamic programming techniques to determine the equivalence premium that each of two extraction agents of a non-renewable natural resource must pay to an insurer to cover the risk that the extraction pore explodes. We use statistical and geological [...] Read more.
This work uses classic stochastic dynamic programming techniques to determine the equivalence premium that each of two extraction agents of a non-renewable natural resource must pay to an insurer to cover the risk that the extraction pore explodes. We use statistical and geological methods to calibrate the time-until-failure distribution of extraction status for each agent and couple a simple approximation scheme with the actuarial standard of Bühlmann’s recommendations to charge the extracting agents a variance premium, while the insurer earns a return on its investment at risk. We test our analytical results through Monte Carlo simulations to verify that the probability of ruin does not exceed a certain predetermined level. Full article
(This article belongs to the Special Issue Probability Theory and Stochastic Modeling with Applications)
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22 pages, 426 KiB  
Article
Optimal Time-Consistent Investment and Premium Control Strategies for Insurers with Constraint under the Heston Model
by Zilan Liu, Yijun Wang, Ya Huang and Jieming Zhou
Mathematics 2022, 10(7), 1019; https://doi.org/10.3390/math10071019 - 22 Mar 2022
Viewed by 1804
Abstract
In this work, we study the optimal investment and premium control problem with the short-selling constraint under the mean-variance criterion. The claim process is assumed to follow the non-homogeneous compound Poisson process. The insurer invests the surplus in one risk-free asset and one [...] Read more.
In this work, we study the optimal investment and premium control problem with the short-selling constraint under the mean-variance criterion. The claim process is assumed to follow the non-homogeneous compound Poisson process. The insurer invests the surplus in one risk-free asset and one risky asset described by the Heston model. Under these, we consider an optimization objective that maximizes the return (the expectation of terminal wealth) and minimizes the risk (the variance of terminal wealth). By constructing the extended Hamilton–Jacobi–Bellman (HJB) system with the dynamic programming method, the time-consistent strategies and the corresponding value function are obtained. Furthermore, we provide numerical examples to illustrate the effects of the model parameters on the optimal policies. Full article
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22 pages, 662 KiB  
Article
Special-Rate Life Annuities: Analysis of Portfolio Risk Profiles
by Ermanno Pitacco and Daniela Y. Tabakova
Risks 2022, 10(3), 65; https://doi.org/10.3390/risks10030065 - 13 Mar 2022
Cited by 6 | Viewed by 3433
Abstract
Special-rate life annuities are life annuity products whose single premium is based on a mortality assumption driven (at least to some extent) by the health status of the applicant. The health status is ascertained via an appropriate underwriting step (which explains the alternative [...] Read more.
Special-rate life annuities are life annuity products whose single premium is based on a mortality assumption driven (at least to some extent) by the health status of the applicant. The health status is ascertained via an appropriate underwriting step (which explains the alternative expression “underwritten life annuities”). Better annuity rates are then applied in presence of poor health conditions. The worse the health conditions, the smaller the modal age at death (as well as the expected lifetime), but the higher the variance of the lifetime distribution. The latter aspect is due to significant data scarcity as well as to the mix of possible pathologies leading to each specific rating class. A higher degree of (partially unobservable) heterogeneity inside each sub-portfolio of special-rate annuities follows, and this results in a higher variability of the total portfolio payout. The present research aims at analyzing the impact of extending the life annuity portfolio by selling special-rate life annuities. Numerical evaluations have been performed by adopting a deterministic approach as well as a stochastic one, according to diverse assumptions concerning both lifetime distributions and portfolio structure and size. Our achievements witness the possibility of extending the annuity business without taking huge amounts of risk. Hence, the risk management objective “enhancing the company market share” can be pursued without significant worsening of the annuity portfolio risk profile. Full article
(This article belongs to the Special Issue Actuarial Mathematics and Risk Management)
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19 pages, 1057 KiB  
Entry
The Capital Asset Pricing Model
by James Ming Chen
Encyclopedia 2021, 1(3), 915-933; https://doi.org/10.3390/encyclopedia1030070 - 3 Sep 2021
Cited by 9 | Viewed by 25562
Definition
The capital asset pricing model (CAPM) is an influential paradigm in financial risk management. It formalizes mean-variance optimization of a risky portfolio given the presence of a risk-free investment such as short-term government bonds. The CAPM defines the price of financial assets according [...] Read more.
The capital asset pricing model (CAPM) is an influential paradigm in financial risk management. It formalizes mean-variance optimization of a risky portfolio given the presence of a risk-free investment such as short-term government bonds. The CAPM defines the price of financial assets according to the premium demanded by investors for bearing excess risk. Full article
(This article belongs to the Collection Encyclopedia of Social Sciences)
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26 pages, 49395 KiB  
Article
Modeling Electricity Price and Quantity Uncertainty: An Application for Hedging with Forward Contracts
by Alfredo Trespalacios, Lina M. Cortés and Javier Perote
Energies 2021, 14(11), 3345; https://doi.org/10.3390/en14113345 - 7 Jun 2021
Cited by 6 | Viewed by 3593
Abstract
Energy transactions in liberalized markets are subject to price and quantity uncertainty. This paper considers the spot price and energy generation to follow a bivariate semi-nonparametric distribution defined in terms of the Gram–Charlier expansion. This distribution allows us to jointly model not only [...] Read more.
Energy transactions in liberalized markets are subject to price and quantity uncertainty. This paper considers the spot price and energy generation to follow a bivariate semi-nonparametric distribution defined in terms of the Gram–Charlier expansion. This distribution allows us to jointly model not only mean, variance, and correlation but also skewness, kurtosis, and higher-order moments. Based on this model, we propose a static hedging strategy for electricity generators that participate in a competitive market where hedging is carried out through forward contracts that include a risk premium in their valuation. For this purpose, we use Monte Carlo simulation and consider information from the Colombian electricity market as the case study. The results show that the volume of energy to be sold under long-term contracts depends on each electricity generator and the risk assessment made by the market in the forward risk premium. The conditions of skewness, kurtosis, and correlation, as well as the type of the employed risk indicator, affect the hedging strategy that each electricity generator should implement. A positive correlation between the spot price and energy production tends to increase the hedge ratio; meanwhile, negative correlation tends to reduce it. The increase of forward risk premium, on the other hand, reduces the hedge ratio. Full article
(This article belongs to the Collection Featured Papers in Electrical Power and Energy System)
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