The present paper studies time-consistent solutions to an investment-reinsurance problem under a mean-variance framework.The paper is distinguished from other literature by taking into account the interests of both an...The present paper studies time-consistent solutions to an investment-reinsurance problem under a mean-variance framework.The paper is distinguished from other literature by taking into account the interests of both an insurer and a reinsurer jointly.The claim process of the insurer is governed by a Brownian motion with a drift.A proportional reinsurance treaty is considered and the premium is calculated according to the expected value principle.Both the insurer and the reinsurer are assumed to invest in a risky asset,which is distinct for each other and driven by a constant elasticity of variance model.The optimal decision is formulated on a weighted sum of the insurer’s and the reinsurer’s surplus processes.Upon a verification theorem,which is established with a formal proof for a more general problem,explicit solutions are obtained for the proposed investment-reinsurance model.Moreover,numerous mathematical analysis and numerical examples are provided to demonstrate those derived results as well as the economic implications behind.展开更多
This paper studies the consignment contract with revenue sharing where the retailer offers two revenue share schemes between himself and his supplier from the viewpoint of inventory ownership: One is that the retailer...This paper studies the consignment contract with revenue sharing where the retailer offers two revenue share schemes between himself and his supplier from the viewpoint of inventory ownership: One is that the retailer takes charge of the unsold items,the other one is that the retailer returns the unsold items to the supplier at the end of the selling period,and the supplier disposes those overstockings.In each contract,the retailer deducts a percentage from the selling price for each sold item and transfers the balance to the supplier.The supplier solves a two-stage problem:She first chooses contract,then decides retail price and delivery quantity according to the terms of the contract chosen.With an iso-price-elastic demand model,the authors derive the retailer and suppliers’ optimal decisions for both schemes.In addition,the authors characterize how they are affected by disposing cost.The authors compare the decisions between the two schemes for disposing cost turn out to be holding cost or salvage value,respectively.The authors use numerical examples to show the supplier’s first-stage optimal decision depends critically on demand price elasticity,the disposing cost and the retailer’s share for channel cost.展开更多
基金supported by National Natural Science Foundation of China (Grant Nos. 11301376, 71201173 and 71571195)China Scholarship Council, the Natural Sciences and Engineering Research Council of Canada (NSERC)+2 种基金Society of Actuaries Centers of Actuarial Excellence Research Grant, Guangdong Natural Science Funds for Distinguished Young Scholar (Grant No. 2015A030306040)Natural Science Foundation of Guangdong Province of China (Grant No. 2014A030310195)for Ying Tung Eduction Foundation for Young Teachers in the Higher Education Institutions of China (Grant No. 151081)
文摘The present paper studies time-consistent solutions to an investment-reinsurance problem under a mean-variance framework.The paper is distinguished from other literature by taking into account the interests of both an insurer and a reinsurer jointly.The claim process of the insurer is governed by a Brownian motion with a drift.A proportional reinsurance treaty is considered and the premium is calculated according to the expected value principle.Both the insurer and the reinsurer are assumed to invest in a risky asset,which is distinct for each other and driven by a constant elasticity of variance model.The optimal decision is formulated on a weighted sum of the insurer’s and the reinsurer’s surplus processes.Upon a verification theorem,which is established with a formal proof for a more general problem,explicit solutions are obtained for the proposed investment-reinsurance model.Moreover,numerous mathematical analysis and numerical examples are provided to demonstrate those derived results as well as the economic implications behind.
基金supported by the National Natural Science Foundation of China under Grant Nos.70901029, 71171088,71131004 and 71002077the Fundamental Research Funds for the Universities under Grant No. 65010771
文摘This paper studies the consignment contract with revenue sharing where the retailer offers two revenue share schemes between himself and his supplier from the viewpoint of inventory ownership: One is that the retailer takes charge of the unsold items,the other one is that the retailer returns the unsold items to the supplier at the end of the selling period,and the supplier disposes those overstockings.In each contract,the retailer deducts a percentage from the selling price for each sold item and transfers the balance to the supplier.The supplier solves a two-stage problem:She first chooses contract,then decides retail price and delivery quantity according to the terms of the contract chosen.With an iso-price-elastic demand model,the authors derive the retailer and suppliers’ optimal decisions for both schemes.In addition,the authors characterize how they are affected by disposing cost.The authors compare the decisions between the two schemes for disposing cost turn out to be holding cost or salvage value,respectively.The authors use numerical examples to show the supplier’s first-stage optimal decision depends critically on demand price elasticity,the disposing cost and the retailer’s share for channel cost.
