First-passage and escape problems in the Feller process

The Feller process is an one-dimensional diffusion process with linear drift and state-dependent diffusion coefficient vanishing at the origin. The process is positive definite and it is this property along with its linear character that have made Feller process a convenient candidate for the modeling of a number of phenomena ranging from single-neuron firing to volatility of financial assets. While general properties of the process have long been well known, less known are properties related to level crossing such as the first-passage and the escape problems. In this work we thoroughly address these questions.

Characterization of volatile organic gunshot residues in fired handgun cartridges by headspace sorptive extraction

In forensic investigation of firearm-related cases, determination of the residual amount of volatile compounds remaining inside a cartridge could be useful in estimating the time since its discharge. Published approaches are based on following the decrease of selected target compounds as a function of time by using solid phase micro-extraction (SPME). Naphthalene, as well as an unidentified decomposition product of nitrocellulose (referred to as "TEA2"), are usually employed for this purpose. However, reliability can be brought into question given their high volatility and the low reproducibility of their extracted quantities. In order to identify alternatives and therefore develop improved dating methods, an extensive study on the composition and variability of volatile residues in nine different types of cartridges was carried out. Analysis was performed using headspace sorptive extraction (HSSE), which is a more exhaustive technique compared to SPME. 166 compounds were identified (several of which for the first time), and it was observed that the final compositional characteristics of each residue were strongly dependent on its source. Variability of single identified compounds within and between different types of cartridge, as well as their evolution over time, was also studied. Many explosion products containing up to 4 aromatic rings were found to be globally present in high proportions amongst residues. 27 of them (excluding naphthalene) also presented detectable decreases during the first 24 h. Therefore, they could be used as complementary target analytes in future dating methods.

A Reappraisal of the Allocation Puzzle through the Portfolio Approach

Paradoxically, high-growth, high-investment developing countries tend to experience capital outflows. This paper shows that this allocation puzzle can be explained simply by introducing uninsurable idiosyncratic investment risk in the neoclassical growth model with international trade in bonds, and by taking into account not only TFP catch-up, but also the capital wedge, that is, the distortions on the return to capital. The model fits the two following facts, documented on a sample of 67 countries between 1980 and 2003: (i) TFP growth is positively correlated with capital outflows in a sample including creditor countries; (ii) the long-run level of capital per efficient unit of labor is positively correlated with capital outflows. Consistently, we show that the capital flows predicted by the model are positively correlated with the actual ones in this sample once the capital wedge is accounted for. The fact that Asia dominates global imbalances can be explained by its relatively low capital wedge.

Sähkönmyyntisopimusten markkinalähtöinen hinnoittelu

Vuonna 1995 alkanut sähkömarkkinoiden vapautuminen on muuttanut sähköyhtiöiden myyntisopimusten hinnoittelua merkittävästi. Ennen markkinauudistusta voitiin sähkön myyntisopimukset hinnoitella perustuen oman sähkön tuotannon kustannuksiin ja haluttuun katteeseen. Nykyään sähköpörssissä noteerattava sähkön hinta muodostaa perustan kaikkien myyntisopimusten hinnoittelulle. Sähkön markkinahinnan lisäksi on myyntisopimusten hinnoittelussa otettava huomioon sähkömarkkinoiden ominaispiirteistä aiheutuvat riskit sähkön myyjälle. Tässä työssä mallinnetaan Lappeenrannan Energia Oy:n markkinalähtöiset hinnoittelumenetelmät kahdelle sähkönmyyntisopimustyypille. Lisäksi tutkitaan markkinalähtöisen hinnoittelun tärkeimpien riskikomponenttien, aluehintaeron sekä profiililisän, merkitystä markkinalähtöisten myyntisopimusten hinnoittelussa. Aluehintaeron hyväksikäyttöä myyntisopimusten hinnoittelussa on tutkittu selvittämällä Suomen hinta-alueen CfD-johdannaisten riskipreemiot. Profiililisän merkitystä myyntisopimusten hinnoittelussa on tutkittu havainnoimalla profiililisän muutoksia hinta- ja kulutusaikasarjoissa sekä suojaushinta ja tehotasossa tapahtuneiden muutosten suhteen. Ennustetun ja toteutuneen profiililisän eroja on tutkittu laskemalla ne seitsemälle Lappeenrannan Energia Oy:n merkittävälle asiakkaalle. Lisäksi on tarkasteltu profiililisän laskentaan tarvittavan hinta-aikasarjan mallintamiseen käytettyjen termiinituotteiden hintojen merkitystä lasketun profiililisän suuruuteen. Työn lopuksi esitetään kaksi vaihtoehtoista sähkösopimusten hinnoittelumenetelmää ja vertaillaan esitettyjä hinnoittelumenetelmiä keskenään. Työssä havaitaan, että aluehintaerolta suojautumiseen käytettävien CfD-johdannaisten avulla olisi ollut mahdollista lisätä markkinalähtöisten myyntisopimusten tuottoa viimeisen kolmen vuoden aikana. Suoritettujen herkkyysanalyysien perusteella voidaan todeta, että toteutuneen ja ennustetun profiililisän erot johtuvat laskentaan käytettävien hinta- sekä kulutusaikasarjojen epätarkkuudesta. Lappeenrannan Energia Oy:n käyttämät profiililisät osoittautuivat ex-post -tarkastelussa liian suuriksi yhtä asiakasta lukuun ottamatta. Lisäksi tarjousaikana laskettujen profiililisien voidaan katsoa muuttuvan täysin samassa suhteessa hinta-aikasarjan mallintamiseen käytettyjen termiinituotteiden volatiliteettien kanssa. Esiteltyjen vaihtoehtoisten myyntisopimusten hinnoittelumenetelmien voidaan katsoa antavan varsin samanlaisia tuloksia kuin Lappeenrannan Energia Oy:n nykyinen hinnoittelumenetelmä. Saatuihin tuloksiin vaikuttavat kuitenkin painokertoimien estimointiin käytetyn vuoden volatiliteetti sekä profiililisän laskentamenetelmä

Value at Risk in measuring market risk: Historical simulation

In this study the theoretical part was created to make comparison between different Value at Risk models. Based on that comparison one model was chosen to the empirical part which concentrated to find out whether the model is accurate to measure market risk. The purpose of this study was to test if Volatility-weighted Historical Simulation is accurate in measuring market risk and what improvements does it bring to market risk measurement compared to traditional Historical Simulation. Volatility-weighted method by Hull and White (1998) was chosen In order to improve the traditional methods capability to measure market risk. In this study we found out that result based on Historical Simulation are dependent on chosen time period, confidence level and how samples are weighted. The findings of this study are that we cannot say that the chosen method is fully reliable in measuring market risk because back testing results are changing during the time period of this study.

On Option Price Information Content and Extraction of Implied Probability Distributions

In this study we used market settlement prices of European call options on stock index futures to extract implied probability distribution function (PDF). The method used produces a PDF of returns of an underlying asset at expiration date from implied volatility smile. With this method, the assumption of lognormal distribution (Black-Scholes model) is tested. The market view of the asset price dynamics can then be used for various purposes (hedging, speculation). We used the so called smoothing approach for implied PDF extraction presented by Shimko (1993). In our analysis we obtained implied volatility smiles from index futures markets (S&P 500 and DAX indices) and standardized them. The method introduced by Breeden and Litzenberger (1978) was then used on PDF extraction. The results show significant deviations from the assumption of lognormal returns for S&P500 options while DAX options mostly fit the lognormal distribution. A deviant subjective view of PDF can be used to form a strategy as discussed in the last section.

Time-Varying Benefits of International Diversification for Finnish Investor: Country-Specific Strategy Concentrating on Emerging Markets

The main objective of this study is to investigate whether the Finnish investors’ country-specific strategy concentrating on emerging markets provides diversification benefits. We also analyze whether the benefits of international diversification has been diminished after periods of high volatility caused by different market crisis. The objective is investigated with three methods: Correlation coefficients, rolling correlations added with OLS trend-lines and Box’s M statistic. All the empirical tests are analyzed and calculated with logarithmic returns of weekly time series data from Friday closing values between January 1995 and December 2007. The number of weekly observations is 678. The data type is total return indices of different countries. Data is collected from DataStream and provided by Datastream Financial. Countries investigated are Finland, Argentina, Brazil, Chile, China, India, Mexico, Poland, Russia, South Africa, South Korea, Thailand and Turkey. The current data is quoted both in U.S. Dollars and local currencies. The empirical results of this thesis show that the correlation coefficients are time-varying across Finland and 12 emerging market countries. Although the correlations have risen from 1995 to 2007, there can be found sub-periods where the correlation has declined from earlier period. The results also indicate that a Finnish investor constructing a portfolio of emerging market countries cannot rely on the correlation coefficients estimated from historical data because of the instability of correlation matrices.

Analysis of outliers in electricity spot prices with exampleof New England and New Zealand markets

Electricity spot prices have always been a demanding data set for time series analysis, mostly because of the non-storability of electricity. This feature, making electric power unlike the other commodities, causes outstanding price spikes. Moreover, the last several years in financial world seem to show that ’spiky’ behaviour of time series is no longer an exception, but rather a regular phenomenon. The purpose of this paper is to seek patterns and relations within electricity price outliers and verify how they affect the overall statistics of the data. For the study techniques like classical Box-Jenkins approach, series DFT smoothing and GARCH models are used. The results obtained for two geographically different price series show that patterns in outliers’ occurrence are not straightforward. Additionally, there seems to be no rule that would predict the appearance of a spike from volatility, while the reverse effect is quite prominent. It is concluded that spikes cannot be predicted based only on the price series; probably some geographical and meteorological variables need to be included in modeling.

Quantitative market and sales forecast accuracy analysis

The main objective of this master’s thesis was to quantitatively study the reliability of market and sales forecasts of a certain company by measuring bias, precision and accuracy of these forecasts by comparing forecasts against actual values. Secondly, the differences of bias, precision and accuracy between markets were explained by various macroeconomic variables and market characteristics. Accuracy and precision of the forecasts seems to vary significantly depending on the market that is being forecasted, the variable that is being forecasted, the estimation period, the length of the estimated period, the forecast horizon and the granularity of the data. High inflation, low income level and high year-on-year market volatility seems to be related with higher annual market forecast uncertainty and high year-on-year sales volatility with higher sales forecast uncertainty. When quarterly market size is forecasted, correlation between macroeconomic variables and forecast errors reduces. Uncertainty of the sales forecasts cannot be explained with macroeconomic variables. Longer forecasts are more uncertain, shorter estimated period leads to higher uncertainty, and usually more recent market forecasts are less uncertain. Sales forecasts seem to be more uncertain than market forecasts, because they incorporate both market size and market share risks. When lead time is more than one year, forecast risk seems to grow as a function of root forecast horizon. When lead time is less than year, sequential error terms are typically correlated, and therefore forecast errors are trending or mean-reverting. The bias of forecasts seems to change in cycles, and therefore the future forecasts cannot be systematically adjusted with it. The MASE cannot be used to measure whether the forecast can anticipate year-on-year volatility. Instead, we constructed a new relative accuracy measure to cope with this particular situation.

Comovement of stock price risk in strategic alliance — Case: mobile internet

The focus of this study has been comovement of stock price risk level between two companies as they form strategic alliance. Thus the main reason has been to shed more light to possible increased risk level that the stockholder confronts when a company he owns forms a strategic alliance with another company. This study has centralized to interfirm cooperation between mobile and internet companies, which have furthered the development of mobile internet. The study has been divided into theoretical and empirical part. In theoretical part the main concepts riskiness of a stock (volatility), comovement and strategic alliance have been run through. In empirical part seven strategic alliances formed by mobile internet companies have been examined. Based on this, strategic alliance seems to increase comovement of stock price risk in some degree. This comovement seems to be stronger when core businesses or operating environments of cooperating companies differ more from each other.

Fair value versus historic cost-valuation for biological assets: Implications for the quality of financial information

[spa] Este trabajo realiza un estudio empírico sobre los efectos, que se señalan en las discusiones teóricas, de la utilización del valor razonable (VR) frente al coste histórico (CH), utilizando dos muestras de explotaciones agrícolas, una de las cuales valora sus activos biológicos a CH y la otra a VR. No se encontraron diferencias significativas en los beneficios e ingresos entre ambas muestras, ni siquiera en sus volatilidades. Tampoco se encontraron diferencias significativas en rentabilidad, manipulación contable, ni en el poder de ambos criterios de valoración para predecir los flujos de tesorería. Por el contrario, la mayor parte de los tests realizados revelan un mayor poder de los beneficios calculados bajo el VR para la predicción de los beneficios futuros, respecto de cuando son calculados bajo el CH. El estudio proporciona también evidencia empírica de prácticas contables defectuosas de CH en el sector agrícola, concluyendo que el VR puede representar un criterio de valoración interesante para un sector, como el agrícola, caracterizado por el predominio de pequeñas explotaciones familiares.

Fair value versus historic cost-valuation for biological assets: Implications for the quality of financial information

[spa] Este trabajo realiza un estudio empírico sobre los efectos, que se señalan en las discusiones teóricas, de la utilización del valor razonable (VR) frente al coste histórico (CH), utilizando dos muestras de explotaciones agrícolas, una de las cuales valora sus activos biológicos a CH y la otra a VR. No se encontraron diferencias significativas en los beneficios e ingresos entre ambas muestras, ni siquiera en sus volatilidades. Tampoco se encontraron diferencias significativas en rentabilidad, manipulación contable, ni en el poder de ambos criterios de valoración para predecir los flujos de tesorería. Por el contrario, la mayor parte de los tests realizados revelan un mayor poder de los beneficios calculados bajo el VR para la predicción de los beneficios futuros, respecto de cuando son calculados bajo el CH. El estudio proporciona también evidencia empírica de prácticas contables defectuosas de CH en el sector agrícola, concluyendo que el VR puede representar un criterio de valoración interesante para un sector, como el agrícola, caracterizado por el predominio de pequeñas explotaciones familiares.

Fair value versus historical cost-based valuation for biological assets: Predictability of financial information

There is an intense debate on the convenience of moving from historical cost (HC) toward the fair value (FV) principle. The debate and academic research is usually concerned with financial instruments, but the IAS 41 requirement of fair valuation for biological assets brings it into the agricultural domain. This paper performs an empirical study with a sample of Spanish farms valuing biological assets at HC and a sample applying FV, finding no significant differences between both valuation methods to assess future cash flows. However, most tests reveal more predictive power of future earnings under fair valuation of biological assets, which is not explained by differences in volatility of earnings and profitability. The study also evidences the existence of flawed HC accounting practices for biological assets in agriculture, which suggests scarce information content of this valuation method in the predominant small business units existing in the agricultural sector in advanced Western countries

Another Look at the Null of Stationary Real Exchange Rates: Panel Data with Structural Breaks and Cross-section Dependence

This paper re-examines the null of stationary of real exchange rate for a panel of seventeen OECD developed countries during the post-Bretton Woods era. Our analysis simultaneously considers both the presence of cross-section dependence and multiple structural breaks that have not received much attention in previous panel methods of long-run PPP. Empirical results indicate that there is little evidence in favor of PPP hypothesis when the analysis does not account for structural breaks. This conclusion is reversed when structural breaks are considered in computation of the panel statistics. We also compute point estimates of half-life separately for idiosyncratic and common factor components and find that it is always below one year.