• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.19 no.1
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• pp.23-45
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• 2015

We consider counterparty risk in CDS rates. To do so, we use a multivariate jump diffusion process for obligors' default intensity, where jumps (i.e. magnitude of contribution of primary events to default intensities) occur simultaneously and their sizes are dependent. For these simultaneous jumps and their sizes, a homogeneous Poisson process. We apply copula-dependent default intensities of multivariate Cox process to derive the joint Laplace transform that provides us with joint survival/default probability and other relevant joint probabilities. For that purpose, the piecewise deterministic Markov process (PDMP) theory developed in [7] and the martingale methodology in [6] are used. We compute survival/default probability using three copulas, which are Farlie-Gumbel-Morgenstern (FGM), Gaussian and Student-t copulas, with exponential marginal distributions. We then apply the results to calculate CDS rates assuming deterministic rate of interest and recovery rate. We also conduct sensitivity analysis for the CDS rates by changing the relevant parameters and provide their figures.

• Communications for Statistical Applications and Methods
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• v.28 no.6
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• pp.655-671
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• 2021

This study analyzes the premium risk of insurers in Korea, which is expected to experience the fastest population aging in the world. Based on the Lee-Carter model, we generate 10,000 scenarios for the number of future survivors in the group of the 10,000 policyholders of life annuity. According to the result of simulation study, the probability of insurer's loss for both groups of male and female policyholders is very low. This result indicates that the premium risk of insurers is not as great as the insurer's concern. This study also suggests introduction of the longevity swap as an alternative to manage the premium risk for the insurer which sells life annuity products. The longevity swap allows insurers to hedge premium risk and reduce capital burden due to the premium risk inherent in life annuity. This study also shows through examples that the counterparty of swap deal may have excess profit in exchange for taking premium risk.

• Journal of applied mathematics & informatics
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• v.39 no.5_6
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• pp.677-688
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• 2021

In the modern financial market, the scale of financial instrument transactions in the over-the-counter (OTC) market are increasing. However, in this market, there exists a counterparty credit risk. Herein, we obtain a closed-form solution of power option with credit risks, using the double Mellin transforms. We also use a numerical method to compare the differentiations of option price between the closed-form solution and Monte-Carlo simulation. The result shows that the closed-form solution is precise. In addition, the option's price is sensitive to the exponent of the maturity stock price.

• The Journal of Society for e-Business Studies
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• v.24 no.4
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• pp.135-149
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• 2019

Accounts receivable insurance is a system in which small and medium-sized enterprises insure the accounts receivables acquired by the purchasing company, and the insurance company pays when the purchaser fails to pay the debts. Accounts receivable insurance is a very effective means of eliminating the risk of loss due to the counterparty default, and it is economically effective to protect the domestic industry by preventing the bankruptcy of one company leading to a chain bankruptcy of other companies. In this study, we constructed a business model of the accounts receivable insurance, by building an infrastructure based on a private blockchain in activating the accounts receivable insurance accounts. The accounts receivable insurance platform using these blockchain technologies not only addressed the problem of document and reliability verification for insurance, but also sought ways to facilitate accounts receivable insurance by small businesses through rapid transaction rates, easy network expansion and access management based on private blockchain.