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We investigated term structure models for commodity prices to value derivative-linked securities (DLS) traded in Korea. We especially highlighted geometric Brownian motion (GBM) model considering a convenience yield and Schwartz model reflecting mean-reverting property.

One of key characteristics of the paper is that this paper provides theoretical models for multi underlying assets and the model combining GBM model and Schwartz model. Furthermore, it gives us an analysis for quanto adjustment which occurs in the valuation of DLS. In case of GBM model, quanto adjustment seems to be relatively simple by adjusting a constant ratio to risk-free interest rate. Unlike GBM model, we find out that, in case of Schwartz model, such adjustment can be achieved only when the stochastic process of foreign exchange rate is considered.

After having valuation, both models show stable results for DLS prices using WTI index as an underlying asset. However, they results in outcomes, which are relatively not stable, on valuing DLS written on multi underlying assets including nickel.

This paper introduces a basic model and an extended model to evaluate the pass-through mortgage-backed securities (MBS) recently issued by Korea Housing Finance Corporation. The basic model assumes that the processes of interest rates, prepayment rates, and option-adjusted spreads have simple forms, of which parameters can be easily estimated by the market data available today. This paper presents the pricing formula on the basic model and the demonstrations under the present market data. We also suggest an extended model, a new but complicated model for pricing pass-through MBS, in which the interest rates and prepayment rates follow stochastic processes, and the option-adjusted spread is decomposed into one from refinancing and the other from mortgage turnover. However, since this kind of pass-through MBS has been traded in Korean financial market only recently, the market parameters in the extended model are not able to be estimated properly. We, instead, develop the pricing formula under the extended model and present the process of estimation of the parameters of the model. The participants in Korean MBS market can price the pass-through MBS for now under the basic model with limited set of data available, and later, when the market data is accumulated enough to estimate the parameters properly, they can take advantage of the extended model.

We present an approach for pricing American put options with a regime-switching volatility. Our method reveals that the option price can be expressed as the sum of two components: the price of a European put option and the premium associated with the early exercise privilege. Our analysis demonstrates that, under these conditions, the perpetual put option consistently commands a higher price during periods of high volatility compared to those of low volatility. Moreover, we establish that the optimal exercise boundary is lower in high-volatility regimes than in low-volatility regimes. Additionally, we develop an analytical framework to describe American puts with an Erlang-distributed random-time horizon, which allows us to propose a numerical technique for approximating the value of American puts with finite expiry. We also show that a combined approach involving randomization and Richardson extrapolation can be a robust numerical algorithm for estimating American put prices with finite expiry.

This paper examines whether the successful bid rate of the OnBid public auction, published by Korea Asset Management Corporation, can identify and forecast the Korea business-cycle expansion and contraction regimes characterized by the OECD reference turning points. We use logistic regression and support vector machine in performing the OECD regime classification and predicting three-month-ahead regime. We find that the OnBid auction rate conveys important information for detecting the coincident and future regimes because this information might be closely related to deleveraging regarding default on debt obligations. This finding suggests that corporate managers and investors could use the auction information to gauge the regime position in their decision-making. This research has an academic significance that reveals the relationship between the auction market and the business-cycle regimes.

We suggest the method of evaluation of illiquid assets on the market in the presence of proportional transaction costs by using two consumption/investment models. We study an investor's implicit evaluation of an illiquid asset whose trading incurs a proportional transaction cost. We show that the investor assigns an implicit value between the bid and ask price and uses it for his investment and/or consumption decisions. We also show that the implicit value is an increasing function of the investor's liquidity ratio, which is a measure of liquidity of the investor's asset holdings.