Optimal financial and ordering decisions of a firm with insurance contract

This paper examines the impact of a bank’s risk limit on the financial and ordering decisions of a capital-constrained firm with insurance contract. All our major results can be computed via explicit expressions. It is shown that the bank will control its risk to be below the risk limit through sett...

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Main Authors: Wenli Wang, Jianwen Luo
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2015-03-01
Series:Technological and Economic Development of Economy
Subjects:
Online Access:https://journals.vgtu.lt/index.php/TEDE/article/view/1053
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author Wenli Wang
Jianwen Luo
author_facet Wenli Wang
Jianwen Luo
author_sort Wenli Wang
collection DOAJ
description This paper examines the impact of a bank’s risk limit on the financial and ordering decisions of a capital-constrained firm with insurance contract. All our major results can be computed via explicit expressions. It is shown that the bank will control its risk to be below the risk limit through setting a loan limit and the firm can make the loan limit increase by buying a deductible insurance policy. It is also shown that the repayment demand level needed to avoid bankruptcy will not be affected by the insurance policy. We derive the firm’s optimal ordering quantity and insurance coverage level under a downside risk measurement and a variance risk measurement separately. It is shown that the firm should pay more attention to whether to buy insurance or not under the downside risk measurement and how much insurance coverage to buy under the variance risk measurement. Under the downside risk measurement, once the firm decides to buy insurance, the optimal coverage level is independent of the bank’s risk limit. We also show that the insurance contract has a more obvious effect on the profit increases when the selling price is high or the bank’s risk limit is low. First published online: 18 Jun 2014
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spelling doaj.art-5b7af1f1650f42b5b136efd5ca8e1f5b2022-12-21T23:14:10ZengVilnius Gediminas Technical UniversityTechnological and Economic Development of Economy2029-49132029-49212015-03-0121210.3846/20294913.2013.877095Optimal financial and ordering decisions of a firm with insurance contractWenli Wang0Jianwen Luo1School of Economics and Management, Taiyuan University of Science and Technology, 030024 Taiyuan, P.R. ChinaSchool of Management, Shanghai Jiao Tong University, 200052 Shanghai, P.R. ChinaThis paper examines the impact of a bank’s risk limit on the financial and ordering decisions of a capital-constrained firm with insurance contract. All our major results can be computed via explicit expressions. It is shown that the bank will control its risk to be below the risk limit through setting a loan limit and the firm can make the loan limit increase by buying a deductible insurance policy. It is also shown that the repayment demand level needed to avoid bankruptcy will not be affected by the insurance policy. We derive the firm’s optimal ordering quantity and insurance coverage level under a downside risk measurement and a variance risk measurement separately. It is shown that the firm should pay more attention to whether to buy insurance or not under the downside risk measurement and how much insurance coverage to buy under the variance risk measurement. Under the downside risk measurement, once the firm decides to buy insurance, the optimal coverage level is independent of the bank’s risk limit. We also show that the insurance contract has a more obvious effect on the profit increases when the selling price is high or the bank’s risk limit is low. First published online: 18 Jun 2014https://journals.vgtu.lt/index.php/TEDE/article/view/1053capital constraintdeductible insurancefirm financingnewsvendorrisk
spellingShingle Wenli Wang
Jianwen Luo
Optimal financial and ordering decisions of a firm with insurance contract
Technological and Economic Development of Economy
capital constraint
deductible insurance
firm financing
newsvendor
risk
title Optimal financial and ordering decisions of a firm with insurance contract
title_full Optimal financial and ordering decisions of a firm with insurance contract
title_fullStr Optimal financial and ordering decisions of a firm with insurance contract
title_full_unstemmed Optimal financial and ordering decisions of a firm with insurance contract
title_short Optimal financial and ordering decisions of a firm with insurance contract
title_sort optimal financial and ordering decisions of a firm with insurance contract
topic capital constraint
deductible insurance
firm financing
newsvendor
risk
url https://journals.vgtu.lt/index.php/TEDE/article/view/1053
work_keys_str_mv AT wenliwang optimalfinancialandorderingdecisionsofafirmwithinsurancecontract
AT jianwenluo optimalfinancialandorderingdecisionsofafirmwithinsurancecontract