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Numerical studies on approximate option prices (근사적 옵션 가격의 수치적 비교)

  • Yoon, Jeongyoen;Seung, Jisu;Song, Seongjoo
    • The Korean Journal of Applied Statistics
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    • v.30 no.2
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    • pp.243-257
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    • 2017
  • In this paper, we compare several methods to approximate option prices: Edgeworth expansion, A-type and C-type Gram-Charlier expansions, a method using normal inverse gaussian (NIG) distribution, and an asymptotic method using nonlinear regression. We used two different types of approximation. The first (called the RNM method) approximates the risk neutral probability density function of the log return of the underlying asset and computes the option price. The second (called the OPTIM method) finds the approximate option pricing formula and then estimates parameters to compute the option price. For simulation experiments, we generated underlying asset data from the Heston model and NIG model, a well-known stochastic volatility model and a well-known Levy model, respectively. We also applied the above approximating methods to the KOSPI200 call option price as a real data application. We then found that the OPTIM method shows better performance on average than the RNM method. Among the OPTIM, A-type Gram-Charlier expansion and the asymptotic method that uses nonlinear regression showed relatively better performance; in addition, among RNM, the method of using NIG distribution was relatively better than others.

Quality of Korean Soil and It's Prospection Influenced with Heavy Metals and Arsenic Analyzed with Soil Pollution Indices (토양오염지표에 의한 국내 토양의 중금속과 비소 오염도 및 향후 전망)

  • 박용하;윤정호;이승희;김강석
    • Journal of Korea Soil Environment Society
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    • v.1 no.1
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    • pp.55-65
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    • 1996
  • Soil quality of most of Soil Network area was estimated healthy by employing Soil Pollution Indices (Soil Pollution Score and Soil Pollution Class). However, 1.5∼3.7% of the total Soil Network area was determined Soil Pollution Class (SPC) 4 which may need cleanup process due to slight or heavy pollution with arsenics and heavy metals. Numbers of the SPC 4 sites were 9, 47, 19, 17, and 17 in 1987, 1989, 1991, 1993, and 1994, respectively During 1987 and 1994, all of SPC 4 sites were identified agricultural land except one in 1994. Soil Pollution Scores (SPSs) was determined high around smelters, metalliferous mines, and industrial sites among the 16 major soil pollution sources of the Soil Network. Also, most area of SPC 4 sites were densely populated in these area of the Soil Network. SPSs of Inchon and Taegu were high among the other major cities and provinces in Korea. Numbers of SPC 4 were high in the province of Kangwon, Kyongbuk, Kyongnam amongst. Cumulative numbers of SPC 4 multiplied by a weighting value 0.3 during 1987 and 1994 of the Soil Network were regressed to develop a model equation for prospecting the soil quality. The model equation was Y= 1.16+0.23x, where as Y is the number of Class 4 and x is the year. Resulting the area of SPC 4 were 4.8%, 6.0%, 6.6% of the Soil Network in the year of 2001, 2006, 2011, respectively Based on this results, the area of SPC 4 would increase 5, 7, and 10 times comparing the area polluted with heavy metals in 1987.

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Electrochemical Characteristics of Fine Soils in the Application of Electrokinetic Remediation (동전기력 복원공정 적용에 따른 세립토양의 전기화학적 특성 변화)

  • 고석오
    • Journal of Soil and Groundwater Environment
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    • v.7 no.3
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    • pp.85-94
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    • 2002
  • Overall objective of this study was to evaluate the electrochemical characteristics of fine soils during the electrokinetic(EK) remediation. Zeta potential of kaolinite as a function of solution pH and surfactant concentration was investigated to make a relationship with electroosmotic flow direction and rate. During the EK experiments, pH of pore solution, electroosmotic permeability($k_e$), electric conductivity($\delta_e$) and voltage distribution was measured, respectively, The point of zero charge(PZC) of kaolinite was estimated to be about 4.2 and the zeta potential of kaolinite above PZC was more negative as solution pH increased. Sorption of surfactants on the kaolinite altered the zeta potential of kaolinite. resulting from the variation of electrochemical characteristics of kaolinite surface. hs the EK experiment progressed, low pH was predominant over most of the kaolinite specimen and thus resulted in very low mass and charge flow. The $k_e$ and $\delta_e$ was also affected by the variation of voltage drop across the EK column with time. Results from this study implied that zeta potential of kaolinite affected by the pH variation of pore solution and voltage distribution in soil column played important role in the determination of mass and charge flow during EK process. It was also suggested that pH adjustment or addition of suitable sorbates could alter the electrochemical characteristics of soil surface and thus maintain high mass and charge flow rate with time.

Utilization of Blast Furnace Slag Quenched with Water as a Source of Silicate Fertilizer -I. Physico-chemical and Mineralogical Characteristics (급랭광재(急冷鑛滓)의 비료화(肥料化)에 관(關)한 연구(硏究) -I. 급랭광재(急冷鑛滓)의 특성(特性))

  • Shin, Jae-Sung;Lim, Dong-Kyu;Kim, Maun-Soo
    • Korean Journal of Soil Science and Fertilizer
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    • v.16 no.4
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    • pp.343-346
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    • 1983
  • This paper was prepared to characterize a physico-chemical and mineralogical examination on blast furnace slag as a source of silicate fertilizer, which was quenched with high pressure water stream in process of iron refinery at Pohang Iron and Steel Manufacturing Inc. Quenched slag was more coarse in particle size compared to present commercial silicate fertilizer milled from air-cooled slag and mostly generated in size of 1 to 2 mm. The total chemical composition of quenched and air-cooled slags was same but mineralogical composition was quite different. The former was composed of amorphous materials resulting in more soluble silica content, however, the latter contained dominantly crystalline minerals such as akermanite, gehlenite and wollastonite which meant less soluble ones. Latent cementing property and angular surface of gain of the slag made it difficult to apply the slag directly, however, it could be used as a source of silicate fertilizer and soil ammendment.

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Development of Organic Fertilizer based on the Cow Dung III. Studies on Tentative Guideline for Degree of Maturity (우분(牛糞)의 유기질비료화(有機質肥料化) 연구 III. 부숙도(腐熟度) 기준설정(基準設定))

  • Lim, Dong-Kyu;Jeong, Lee-Geon;Shin, Jae-Sung;Han, Ki-Hak
    • Korean Journal of Soil Science and Fertilizer
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    • v.24 no.4
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    • pp.278-285
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    • 1991
  • This study was conducted to manufacture a good qualified organic fertilizer with cow dung through rapid composting process, and the proposal guideline of the degree of maturity could be estimated with the measurement of final product. It included total nitrogen content of above 2% on an oven-dry material basis, C/N ratio of below 20, CEC of more than about 60 me/100g, ratio of carbon in reducing sugar to the total carbon of below 35%, and temperature in pile of above $60^{\circ}C$. The total nitrogen content, the C/N ratio, and the Paper Chromatographic method couldn't be the guideline to evalute the maturity of cow dung compost. CEC was increased in increased fermentation and it was high in the high fermented temperature plots which were cow dung+ shredded bark in 1988, cow+dung+wood chips in 1989, and cow dung+rice straws in 1990. The ratio of carbon in reducing sugar to total carbon in 1990 was lower in cow dung+saw dust than cow dung+rice straws that was the highest temperature in pile. Generally cow dung was mixed well with saw dust and thus the total carbon of the product was high. The measurement of the temperature in pile seems to be a indirect guideline of maturity.

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Polyamine Alleviates Inhibition of O2 Evolution by Cd for Spinich (시금치에서 Polyamine에 의한 카드늄의 산소방출억제 경감효과)

  • Kim, Tae Wan;Lee, Ju-Young;Lee, Yong-Se;Hwang, Seon-Woong;Yoon, Young-Sang
    • Korean Journal of Soil Science and Fertilizer
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    • v.33 no.4
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    • pp.247-252
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    • 2000
  • Polyamine concentrations were clearly enhanced in leaves and chloroplasts by Cd treatment, but not in thylakoid and PSII. It appeared that newly synthesized polyamines by Cd are distributed in stromal space. The accumulated polyamines in stromal space could not be adjacent to thylakoid membranes, suggesting that they are already saturated. The levels of putrescine and spermine were about 36 and 20 fold lower in chloroplast than in whole leaf cells respectively, whereas agmatine level was only 3.7 fold lower. The inhibitory effect of Cd nn $O_2$ evolving process was obviously alleviated by 0.2mM spermine supplement. Polyamines stimulated $O_2$ evolution within the range of 0.5mM in spinach thylakoids. It was also found that stimulating effect of polyamines is about 2 fold higher in dicothyledonous spinach than in monocotyledonous wheat at same concentrations. Furthermore, the enhanced activity of $O_2$ evolution was lowered rather by agmatine treatment than by putrescine treatment in wheat, suggesting a difference between monocot and dicot.

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Soil Genesis on the King Muryung's Tomb of the Ancient Baegje Dynasty in Korea (백제(百濟) 무령왕능(武寧王陵) 봉분(封墳)의 토양생성화(土壤生成化) 작용(作用)에 관(關)한 연구(硏究))

  • Shin, Young-Hwa;Choi, Dae-Ung;Jung, Pil-Kyun;Lee, Dong-Tae
    • Korean Journal of Soil Science and Fertilizer
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    • v.25 no.3
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    • pp.191-194
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    • 1992
  • The tomb of the king Muryung, the 25th king of ancient Baegje dynasity in Korea, was proved to be constructed about 1500 years ago. The Physico-chemical characteristics were determined in order to investigate the pedogenic process for tomb soils. Clay and silt content inclosed down to 30~40cm soil depth. The increase of clay was 13.4% in the 10cm surface soil and the estimated time for 1% increase of clay in the profile was about 112 years. There were great changes in chemical properties in the 10cm surface soil, and considerable accumiration of salts and increase of catiom exchange capacity(CEC) down to 30cm depth. The alteration of primary minerals and formation of clay minerals were great in the 10cm surface soil and considerably reconized down to 50~60cm. The result suggested that the development of soil profile from the tomb parent material for the period was 10cm under the forest environment in Korea. The parent material of tomb soil was considered to be transported greyish green clored diorite from other place.

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Physico-chemical Properties of Disturbed Plastic Film House Soils under Cucumber and Grape Cultivation as Affected by Artificial Accumulation History

  • Han, Kyung-Hwa;Ibrahim, Muhammad;Zhang, Yong-Seon;Jung, Kang-Ho;Cho, Hee-Rae;Hur, Seung-Oh;Sonn, Yeon-Kyu
    • Korean Journal of Soil Science and Fertilizer
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    • v.48 no.2
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    • pp.105-118
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    • 2015
  • This study was carried out to investigate the effects of profile disturbance with different artificial accumulation history on physico-chemical properties of soil under plastic film house. The investigations included soil profile description using soil column cylinder auger F10cm x h110cm, in situ and laboratory measurements of soil properties at five sites each at the cucumber (Site Ic ~ Vc) and grape (Site Ig ~ Vg) plastic film houses with artificial soil accumulation. The sites except sites Ic, IVc, IVg and Vg, belong to ex-paddy area. The types of accumulates around root zone included sandy loam soil for 3 sites, loam soil for 1 site, saprolite for 2 sites, and multi-layer with different accumulates for 3 sites. Especially, Site IIg has mixed plow zone (Ap horizon) with original soil and saprolite, whereas disturbed soil layers of the other sites are composed of only external accumulates. The soil depth disturbed by artificial accumulation ranged from 20 cm, for Site IIg, to whole measured depth of 110 cm, for Site IVc, Vc, and Site IVg. Elapsed time from artificially accumulation to investigation time ranged from 3 months, Site IIc, to more than 20 years, Site Vg, paddy-soil covering over well-drained upland soil during land leveling in 1980s. Disturbed top layer in all sites except Site Vg had no structure, indicating low structural stability. In situ infiltration rate had no correlation with texture or organic matter content, but highest value with highest variability in Site IIIc, the shortest elapsed time since sandy loam soil accumulation. Relatively low infiltration rate was observed in sites accumulated by saprolite with coarse texture, presumably because its low structural stability in the way of weathering process could result in relatively high compaction in agro-machine work or irrigation. In all cucumber sites, there were water-transport limited zone with very low permeable or impermeability within 50 cm under soil surface, but Site IIg, IIIg, and Vg, with relatively weak disturbance or structured soil, were the reverse. We observed the big change in texture and re-increase of organic matter content, available phosphate, and exchangeable cations between disturbed layer and original soil layer. This study, therefore, suggest that the accumulation of coarse material such as saprolite for cultivating cash crop under plastic film house might not improve soil drainage and structural stability, inversely showing weaker disturbance of original soil profile with higher drainage.

Application of anaerobic baffled reactor to produce volatile fatty acids by acidification of primary sludge (Anaerobic Baffled Reactor 공정을 이용한 1차 슬러지 산발효에 대한 연구)

  • Kwon, Se Young;Kang, Min Sun;Kim, Se Woon;Shin, Jung-Hun;Choi, Han-Na;Jang, Hoon;Cho, Jin Woo
    • Journal of Korean Society of Water and Wastewater
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    • v.28 no.1
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    • pp.13-23
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    • 2014
  • A lab-scale Anaerobic Baffled Reactor (ABR) was applied to treat a primary sludge taken from a municipal wastewater treatment plant. In this experiment, acidogenic reaction was promoted by operating the ABR with short hydraulic retention time (HRT) to produce sufficient volatile fatty acids (VFA) instead of production of methane. The performance of ABR on the VFA production and total solids reduction was observed with different operating conditions with 2, 4, 6, and 8 days of HRT. Corresponding organic loading rates were 6.7, 3.4, 2.2, and $1.6kgCOD_{cr}/m^3{\cdot}day$. As HRT increased the removal rate of TCOD was also increased (82.5, 84.2, 96.9, and 95.9 % in average for HRT of 2, 4, 6, and 8 days, respectively) because the settlement of solids was enhanced in the baffle by the decrease of upflow velocity. At HRT of 2 days the average concentration of VFA in the effluent was measured at $1,306{\pm}552$ mgCOD/L corresponding to 107 % increment as compared to the VFA concentration in the influent. However, as HRT increased VFA concentraiotn was decreased to $143{\pm}552$ mgCOD/L at HRT of 8 days. The reduction rates of total solids were 12.2, 26.5, 24.8, and 43.0 % for HRT of 2, 4, 6, and 8 days. As HRT increased the hydrolysis of organic particulate matters in the reactor was enhanced due to the increasing of solids retention time in the baffle zone with low upflow velocity in long HRT condition. Consequently, we found that a primary sludge became a good source of VFA production by the application of ABR process with HRT less than 4 days and the 12-26 % of total solids reduction was expected at these conditions.

Effect of Treatment Amounts of Slurry Composting and Biofiltration Liquid Fertilizer on Growth Characteristics and Bioethanol Production of Yellow Poplar (SCB액비 처리량에 따른 백합나무의 생장 및 바이오에탄올 생산)

  • Kim, Ho-Yong;Gwak, Ki-Seob;Kim, Hye-Yun;Ryu, Keun-Ok;Kim, Pan-Gi;Cho, Do-Hyun;Choi, Jin-Yong;Choi, In-Gyu
    • Journal of the Korean Wood Science and Technology
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    • v.39 no.6
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    • pp.459-468
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    • 2011
  • The main purpose of this study was to examine the influence of treatment amounts of Slurry Composting and Biofiltration liquid fertilizer (SCBLF) on biomass growth of Yellow poplar (Liriodendron tulipifera) and to compare bioethanol production from the harvested wood. Relative growth rate, biomass production and leaf characteristics were significantly enhanced by SCBLF treatment and medium treatment plot showed highest value. Nitrogen compounds and water content in SCBLF affected to increase chlorophyll contents which led improving biomass production (64.67%) and glucose contents (6.07%) than control. Organosolv and dilute acid pretreatments were preliminarily carried for bioethanol production, and the pretreatment processes were conducted at all the same solid to liquid ratio (1 : 10), reaction temperature ($150^{\circ}C$), preheating time (40 min) and residence time (10 min). The water insoluble solid recovery of Organosolv pretreatment with 1% sulfuric acid as a catalyst was the lowest and that of medium treatment plot was 44.81%. Exchangeable cations in SCBLF might be affected to increase pretreatment effect. The simultaneous saccharification and fermentation process was followed to determine the ethanol production of the pretreated biomass. The highest ethanol production yield based on initial weight was obtained from high treatment plotby Organosolv pretreatment with 1% sulfuric acid (16.11%). But regarding biomass production, medium treatment plot produced most, and bioethanol production was increased by 72.93% than control.