Thursday, September 3, 2020

Well Versed Statistical Nursing Concepts †Myassignmenthelp.Com

Question: Examine About The Well Versed Statistical Nursing Concepts? Answer: Introducation This article utilizes languages and dark manner. The terms utilized are proficient and just people who are knowledgeable with factual and nursing ideas, and terms would think that its simple to fathom and handle the thoughts utilized in the investigation. This article investigates some likely indicators and procedures Business that might be valuable for medical attendants during evaluation and medication estimation instructing. The time of distribution of the article was 2013. In this manner, the article appears to hold up under some significance since it covers an ongoing and still existent issue. Besides, the examination intends to research and discover an answer for an ebb and flow issue; that is recognizing the troubles experienced by the nursing understudies inside higher foundations of realizing while figuring drug. The tertiary foundations ought to be in a situation to deliver capable and well-talented clinicians. In spite of the fact that the investigation is consecutive, all around enunciated, and the ideas have been laid out in appropriately, the meaning of key terms has been overlooked. Key terms, for example, clinical count competency, graduate practice, subjective and quantitative information, nursing training, numeracy aptitudes execution, blended strategies study and significantly more have not been characterized. On the other side, the ideas utilized in the investigation have been placed in a capable, straightforward, and successive stream. The investigation starts with a synopsis to give the perusers a general layout, a presentation follows, at that point the foundation or purpose behind directing the examination, the strategies utilized, etc. The article, out of sight segment, distinguishes the inspiration and main impetus of the examination in a brilliant manner. The presentation of the foundation begins by laying out an overall issue; the medical caretakers have frail or need numeracy establishments. Indeed, even the understudies themselves feel they are not sufficiently arranged (Ramjan, 2011). Because of the expanding requirement for numeracy aptitudes, in this way, a few projects require their understudies to have essential numeracy abilities for a superior learning experience (Sherriff, Wallis Burston, 2011). Eastwood et al., (2011) contend that information on decimal numbers is the premise of understanding the guidelines and systems for count. This article additionally concurs with this administration. The investigation was led at the University of Western Sydney (UWS) with an expectation of discovering the count fitness among a chose number of understudies. The examination was directed based on eagerness and assent. The understudies who acknowledged to participate in the examination were 62% of the complete number. Be that as it may, the investigation may need dependability because of sexual orientation awkwardness of the members (327 females and 63 guys) and the low number of members (62%). Countless members is increasingly illustrative of the objective populace (Sherriff, Burston Wallis, 2012) The investigation would have been progressively dependable, precise, and legitimate if all the understudies were included or a higher level of possibly 95% was included. The normal number of all out preliminaries for the test was 3.1; the mean score was 57.8 %. In the underlying test, 73.6% of the understudies had the option to accomplish a palatable evaluation. After the ability test, the understudies were occupied with one on one numeracy remediation exercises, and the outcomes were engaging. After the remediation exercises, just a single understudy neglected to get an acceptable evaluation on the last endeavor. As to investigation, the techniques and apparatuses utilized were proper. The SPSS Software, for example, was utilized for proficient investigation of information. Besides, the product empowered the analysts to examine both quantitative and subjective information and subsequently their work was made simpler. Coyne, Needham, Rands, (2013) likewise concur that the SPSS programming has reformed the procedure dissecting information. The proposals and conversations given by the creators identify with the examination. The information accomplished and the proposals made were likewise pertinent to the discoveries. The language utilized for this investigation is genuinely reasonable. Be that as it may, a layman who isn't knowledgeable with factual or nursing terms may think that its difficult to understand a few thoughts since the key terms are not characterized. The diagrams, tables, and graph utilized in this examination are very much checked and directly forthright. Figure 1, for example, which is the TGP flowchart, gives an away from and checking of the significant procedures and mediations. Table 2 gives an away from of the scholarly and sociodemographic qualities; the ages, sex, nation of birthplace, language spoken and a lot more are given in their comparing rates. The investigation had the option to give an exhaustive and all around led report by utilizing SPSS as a factual device and other appropriate apparatuses. The examination was likewise ready to give extra and significant subtleties of the understudies engaged with the investigation, for example, their nation of root, language spoken, age and other significant subtleties. In any case, the examination confronted a few shortcomings which were confirm. The investigation instrument, for example, was not checked for exactness. Likewise, the Likert scale, which was utilized in the investigation to give scaling reactions, had unnecessary alternatives. For precise outcomes, the Likert scale ought to have less alternatives (Kenny, Kidd, Nankervis Connell, 2011). The planning of the study was additionally off-base given that it was directed in the last showing week as opposed to during the center of the learning term. It would have been progressively fitting if the examination was comprehensive of a bigger extent of members, the investigation was convenient, the examination had sexual orientation balance, the examination instrument was checked for exactness, and the Likert scale had generally lower choices. In the event that the examination was directed in such a way, the investigation could have been progressively levelheaded in taking care of the issue. The examination was target and liberated from creator see focuses and inclinations. There are a few purposes behind this end. To begin with, the investigation is exact (Revell McCurry, 2013). The investigation depended on speculations, perceptions, and references from different sources. The presentation of the foundation data gives different articles which additionally hold a similar contention. Likewise, the examination utilizes a customary and methodical arrangement to layout its destinations and techniques. The examination is controlled, the utilization of theory is obvious, apparatuses are utilized to break down the information, an away from of the investigation is set, lastly, the examination utilizes measurable or quantitative techniques to consider the gathered information. The creators have put a reference list for simpler reference. A reference list empowers the perusers of the report or study to recognize and confirm the references utilized. The writers of this article have worked admirably really taking shape of in-text references where vital. The writers of the article are sound since they present their thoughts which are upheld up by proof. In this way, all the exploration and the foundation of data which is given can be utilized by different writers to plan more articles. References Eastwood, K. J., Boyle, M. J., Williams, B., Fairhall, R. (2011). Numeracy abilities of nursing understudies. Medical attendant training today, 31(8), 815-818. Coyne, E., Needham, J., Rands, H. (2013). the board understudy attendants' drug estimation information; coordinating hypothetical information into training. Medical caretaker training today, 33(9), 1014-1019.

Saturday, August 22, 2020

Disclosure and Agency Conflict

Question: Portray about administrations objectives ever struggle with boosting investor riches? Answer: Amplifying the abundance of the investors is the suitable objective of the business firm. The business firms attempt to augment the abundance of the firm by expanding the cost of the stock. With the expansion in the cost of the stock, there is an increment in the stock riches. The expansion in the cost of the stock upgrades the estimation of the firm and the total assets of the people increment possessing the stock. There are occurrences in which the objective of the administration clashes with expanding the investor riches (Hamel, 2009). The objective of the administration is assembly of the assets to make them beneficial which will produce income for the association. The model of the board that prevailed before has gotten excess. The abrogating issues of the association were understood by rehash of the administration framework. The administration framework has become imaginative and rousing spot which is worried about boosting the abundance of the investors. Be that as it may, ther e have been circumstances of contention with the augmentation of the abundance of the investor. One of the major bogus hoods that are related with the openly held organizations is that it has the commitment to expand the estimation of the investor. In 2007, the organizations of United States had taken obligation of record add up to finance the repurchase of offer to upgrade the estimation of the investor. These buybacks has served to advance the CEO of the organization to the detriment of the significant partners of the organization. This decreases the strength of the economy and the drawn out fate of the association is influenced. Amplifying the estimation of the investor has become a common objective that adjusts to serve the enthusiasm of the offer proprietors and the administration. Along these lines augmenting the estimation of the investor isn't the commitment of the administrator however it is the decision of the director. Yet, in instances of dominate and chapter 11 there ar e uncommon laws to give exceptional thought to the regular investors (forbes.com, 2011). If there should be an occurrence of little associations, the administrator of the firm possesses the firm. In such cases there the clashing circumstances doesn't emerge. Be that as it may, in the event of huge associations there are different degrees of the administration and the staff. In any case, the administration isn't the proprietor of the firm (Harris and Glegg, 2009). They have a fixed degree of pay. However, there are circumstances of contention between the proprietor of the firm and the chief of the association. The administrator of the association don't benefit legitimately from the investors except if they watch out for own a stock. The contention between the supervisors and the investors of the firm offers ascend to the organization issue (Myers, 2007). The objective of the administration is to boost the abundance of the investors and simultaneously keep up the corporate social obligation. In any case, it is found in a few cases it is seen that the boost the investors ri ches doesn't line up with the social obligations of the organization (Black, 2012). For instance in the 2008 downturn there was a major bank disappointment. Be that as it may, the social obligation of the banks was not obvious. The organizations were considering dealing with their venture portfolio as opposed to loaning cash to the clients. The venture portfolio was loaded up with harmful resources which prompted the breakdown of the huge banks. This prompted the fall of the offer costs. In this way it very well may be said that the association was attempting to meet their administration goals without expanding the abundance of the investors. This prompts the circumstances of contention between the investors and the board of the association. This disturbs the office issue (Snowden, 2014). The supervisor of the association have individual objectives that will in general clash with the objective of the proprietor of boosting the abundance of the investors. Since the investors have the expert on the chiefs to direct the benefit of the organizations, there emerges a potential clash between the investors of the association and the administration objectives. In blemished work and capital markets, the supervisors amplify their own utility to the detriment of the investors of the association. Office clashes are very noteworthy in associations. References Dark, K. (2012). Divulgence and Agency Conflict: Evidence from Mutual Fund Commission Bundling. CFA Digest, 42(3), pp.126-128. forbes.com, (2011). The Dumbest Idea In The World: Maximizing Shareholder Value. [online] Available at: https://www.forbes.com/destinations/stevedenning/2011/11/28/expanding investor esteem the-most moronic thought on the planet/[Accessed 12 Mar. 2015]. Hamel, G. (2009). 25 Stretch Goals for Management. [online] Harvard Business Review. Accessible at: https://hbr.org/2009/02/25-stretch-objectives for-managemen [Accessed 12 Mar. 2015]. Harris, O. what's more, Glegg, C. (2009). Administration quality and secretly arranged stock repurchases: Evidence of office strife. Diary of Banking Finance, 33(2), pp.317-325. Myers, D. (2007). Expenses and Benefits of American Corporate Capitalism. Mental Inquiry, 18(1), pp.43-47. Snowden, N. (2014). What truly caused the Great Recession? Rhyme and reiteration in a subject from the 1930s. Cambridge Journal of Economics.

Friday, August 21, 2020

A Guide to Writing Essays on Abortion

A Guide to Writing Essays on Abortion A Guide to Writing Essays on Abortion The subject of fetus removal is delicate, newsworthy, and questionable. It contacts the subjects of legislative issues, law, general wellbeing, religion, human science, and then some. It is a theme that instigates extraordinary discussion and discussion. It is additionally a theme that is talked about in numerous school study halls for various reasons. Papers on premature birth are doled out in a wide range of courses to offer understudies the chance to contend their situations on the theme or to exhibit their comprehension of this issue. A few understudies anticipate these assignments since they have solid conclusions on the issue that they are anxious to share. Shockingly these understudies frequently fall prey to a large number of the entanglements of composing an article about fetus removal. These include: Utilizing excessively one-sided sources Disregarding proof that doesn’t bolster their convictions Mistaking talk for reality Building strawmen Utilizing putting down language when alluding to those with contradicting convictions To keep away from these traps, twofold check your sources, incorporate sources that help contradicting sees, focus on realities, banter just what the individuals with the restricting perspective have expressed and not what you think they have expressed, and utilize aware language. Premature birth Essay Topic Suggestions Here are a couple of recommendations for understudies who are searching for exposition proposals on premature birth. What are the upsides and downsides of premature birth as it identifies with general wellbeing? Will individuals at any point go to a concurrence on the fetus removal banter? Should citizen cash subsidize premature births? Would free contraceptives cut down on the quantity of premature births every year? Should young ladies younger than 18 have the option to get fetus removal administrations without parental assent? On the off chance that a man impregnates a lady, would it be advisable for him to need to give his agree for her to have a premature birth? Compose a pugnacious paper, talking about whether you are possibly in support of premature birth recent weeks. Will obligatory ultra-sounds and holding up periods lessen the quantity of premature births? What are the dangers of having a fetus removal? Will complete sexual training programs in schools decrease the pace of youngster pregnancies and premature births? What should be possible to diminish the quantity of premature births without making it legitimate? Should the administration finance emergency pregnancy focuses? In the event that you are against premature birth, what special cases would you permit? Compose a master decision fetus removal examine paper on an acclaimed person who helped the genius decision development. Examine the historical backdrop of Planned Parenthood Fetus removal Essay Assistance Between investing energy picking a theme, looking into, verifying your sources, taking notes, composing, altering, and modifying, you can go through a few days chipping away at your fetus removal exposition. This is a great deal of time and exertion to commit to a solitary composing task. In the event that you have a vocation, a family, or a public activity, discovering time to complete complex composing assignments like these can be almost unimaginable. It’s no big surprise that such a large number of understudies feel continually worried and overpowered. They are simply excessively occupied! Here’s some uplifting news! You don’t must be that exhausted understudy. You can just submit a request at and we will assist you with your paper on fetus removal or some other subject.

Friday, June 12, 2020

Suitability Of Black Scholes Model And Pricing Derivatives Finance Essay - Free Essay Example

Since the Black-Scholes (B-S) Model was proposed, it became a widely used pricing model in the options market. This paper critically discusses the suitability of using the Black-Scholes model for pricing derivatives from two points: its own accuracy and the accuracy of input data. Finally, it is safety to conclude that the B-S pricing model is only the best tool currently. 1 Introduction of the Black-Scholes (BS) option pricing model Since the option firstly came into the market in1973, it became one of the best choices among derivatives for investors to invest, speculate and hedge. Then with the option being extensively and fruitfully applied, a lot of models for pricing are proposed by many researchers after in-depth study and exploration, such as the Black-Scholes (B-S) Model (Black and Scholes, 1973), the Binomial Pricing Model (Chalasani,1999 and Lee, S. Park, H., and Jeon, 2007), Monte Carlo Simulation (Rubinstein, 1981), Finite Difference Method and so on. And the most influential one is Black-Scholes (B-S) model created by Fisher Black and Myron Scholes (1973). It has already been considered as one of the most successful models in applied economics. Based on the assumptions that stock prices follows a geometric Brownian motion and the logarithm of stock prices obeys normal distribution, a portfolio including a stock and its derivative is constructed. The proceeds of two positions in the portfolio are highly negative correlated and the stock earnings (loss) are always offset by derivative securities losses (gains). As the portfolio is risk-free, the yield is equal to the risk-free interest rate in the case of Risk-free in a small time interval. Therefore, the present value of the portfolio is determined by the risk-free rate and the duration. The BS model is as follows: In this expression, ÃÆ'Ã… ½Ãƒâ€šÃ‚ ¼ is the instantaneous expected return on the stockError: Reference source not found is the instantaneous volatility of the return, and z (t) is a standard Brownian motion or a Wiener process and S is the underlying asset. According to the model, the Black-Scholes equation, was derived by setting an instantaneous riskless portfolio composed by appropriately weighted stocks, options and bonds. The B-S models specific pricing formulas are as follows: , for the call option, and , for the put option, where Where R is the constant risk-free interest rate and N(x) is the normal cumulative density function, K is exercise price, Error: Reference source not found is the standard deviation of stock returns, T is the time to maturity options. According to Bruno Dupire, implied Black-Scholes volatilities strongly depend on the maturity and the strike of the European option under scrutiny. Then, this problem was solved easily by Merton in 1973. That makes the BS model more applicable. Just like what Black had pointed out during his lifetime, the B-S model for option pricing should really be called Black-Merton-Scholes model. 2 The Suitability of the Black-Scholes (B-S) Model The output accuracy of any theoretical pricing model depends on the exactness of input and the model itself. Therefore, perfect combination of accurate models and accurate input data creates perfect result. Both are indispensable. 2.1 The accuracy of the model itself The accuracy of Model assumptions essentially determined whether the model is a perfect description of the real world. In deriving the B-S model, many important assumes are used: 2.1.1 Market is frictionless market with transaction efficiency (Black and Scholes, 1973) Under this assumption, in essence, it implies that the underlying assets can be freely traded without any restrictions. Everybody is free to borrow funds at the same rate. Undoubtedly, it does not take the impact of taxes into account. However, the markets operation is not without friction in the real world. In some markets, such as Chinas stock market, the underlying asset cannot be traded freely, because there are restrictions on daily change limits. Whats more, there is also a complete ban or limits on short selling in some of the stock market. And sometimes the proceeds from short selling cannot be fully used. Wherefore, if the freedom of short selling is not given, the demand of securing the short equity using the put option will be more intense. This may result in a higher price of the put option than the call option. While options trading are not taxed, almost no one option investment will be better than another under the influence of tax policy issues. Thus, most traders do not usually consider the tax implications. In the real world, traders cannot borrow unlimited funds. If the funds can be borrowed for free, traders can always borrow money, and then put them into the Options Clearing House. Since the lending rates are equal, the Options Clearing House should also pay the interests because of the initial performance bond (margin). Therefore, obtaining the initial performance bond is not a problem. However, traders may be forced to close the contract before expiration of the option because of not making up the maintenance margin. Even if borrowing unlimited funds, traders have to face different interest rates on loans, always higher than lending rates. Finally, if the difference between the rates of borrowing and loading is more obvious, pricing models offer less reliable data. The transaction cost in the options investment is another factor which has to be considered as well. Broker commissions, clearing fees and membership fees and market makers bid-ask spread are all transaction costs. Once considering transaction costs, many investment portfolios theoretically acceptable are often not feasible. 2.1.2 The Stock Pays no Dividends (Black and Scholes, 1973) The B-S model assumes that the stock pays no divides or other distributions. This is clearly an unrealistic assumption. Payment of dividends will increase the intrinsic value of the put option and reduce the value of the call option. As there are protective measures for options paying dividends in the early OTC (Over-the-Counter) market. For example, the adjustment of exercise price is used to eliminate the impact of dividends paid on the option value. But the current contractual terms o f stock options will not be adjusted with cash bonus payment correspondingly in floor trading and the OTC market. Finally, the dividends become an important factor pricing the options. 2.1.3 The Short-Term Interest Rate is Constant through Time (Black and Scholes, 1973) The interest rate is assumed to be risk-free and fixed in the B-S pricing model. In most markets, risk-free interest rate is the interest rates on government securities. However, the actual market risk-free interest rate is usually not fixed but variable. Because the impact of changes in interest rates is a function of the options duration, and most of all listed options contract period of less than 9 months, it is not sufficient to constitute a significant impact on value, unless the interest rate changes to a large extent and the actual value is high. Therefore, the interest rate is not an important factor compared to the underlying asset price or price volatility. But this does not mean that traders can comp letely ignore the possibility of fluctuation in interest rates. Particularly, after the long-term stock options were introduced into the market, the interest rate impact is more and more important. 2.1.4 The variance rate of the return on the stock is constant (Black and Scholes, 1973) The B-S option pricing model assumes that when option expires, the standard deviation of expected returns of stock remain unchanged. That means that the future stock price volatility is constant. But actually, stock price volatility is influenced not only by stock prices, but also by the time the option expires, and other factors. It cannot remain constant in the life of the option. If the stock price volatility associated with stock prices, the stock price may deviate from the lognormal distribution in the B-S pricing model (Corrado, and Miller, 1993). Then pricing error may exist according to the B-S pricing model. If the stock price and volatility are positive correlated, the B-S pricing mode l will tend to underestimate the value of the call option in the virtual the state and overestimate the value of the state of the put option in the virtual the state. When the stock price goes up, the volatility is also rising. That means higher stock price appears in a higher probability in the geometric Brownian motion. Correspondingly, when stock prices fall, the volatility falls down. That means lower stock prices arise in a less probability in the geometric Brownian movement. In contrast, if the stock price and volatility are negative correlated, the B-S pricing model will tend to overestimate the value of call option price in the virtual the state and underestimate the value of the price of a put option in a virtual state for the following reasons. When volatility declined with stock prices rising, a high stock price is difficult to achieve. When volatility increased with stock prices falling, a very low stock price is easy to achieve. 2.1.5 Underlying Asset Price Changes i n a Continuous Manner (Black and Scholes, 1973) The underlying asset price changes have the following three forms (Thomas, Copeland, Fred Weston Kuldeep Shastr. 2010): diffusion form, beating form and diffusion in the form beating. In the diffusion form, the price changes in a continuous smooth manner, such as the changes in temperature, a typical spread in the form. In pure beating form, the prices remained unchanged during a period and then instantly jump to another price, such as changes in interest rates set by Central Bank in China. The same situation continues to happen. The form of beating diffusion is the beat of the combination of the form of diffusion and the forms of beating. In addition to the occasional beating in the price, it changes in a continuous smooth way in general. The BS pricing model assumes that stock price movements are spread in the confusion form, and the transaction will be continuous forever. There is no the price gap existing. Obviously, it is a kind of convenient but not precise form of the hypothesis. The option price of the underlying asset does not render the proliferation of forms in the real world as the Exchange will not open 24 hours a day. There is a closing price at the end of each trading day. The next days opening price is not necessarily equal to the closing price the day before. This is clearly will cause the price spread of the gap and is not allowed by the confusion form. Even in normal trading hours, the proliferation of forms of assumption may not be set up. Once the big news is released in the market, it may result in the price gapped up or down suddenly. 2.1.6 Logarithm of the Stock Prices Obey Normal Distribution at Maturity (Black and Scholes, 1973) The B-S pricing model assumes that stock prices have a lognormal distribution. It means that the logarithm of stock prices conform to normal distribution when the option expires. Actually, the stock price is not strictly logarithmic normal distributio n. The left tail of its distribution curve is a longer length or the right tail rather long and the broad peak is flat or tall. The kurtosis and skewness of its distribution curve is not necessarily zero. If the logarithmic of stock price is not accurate normal distribution at the end of option, it may generate pricing bias. Therefore, it is the BS model that does not depict the world perfectly in some degree. In response to these shortcomings, the options researchers conducted study and exploration of the B-S model in-depth and put forward many amendments to the pricing model. There are a series of amendments (Bakshi. Cao and Chen, 1997), such as the one proposed by Merton in considering of the effects from bonus in 1973, the American call option pricing model made by Roll in 1977, the futures option pricing model established by Black in 1976, the random interest rate pricing model set up by Moton, the stochastic volatility model created by Hull and White in 1987 and the pure ho pping model built by Cox and Ross and so on. Although the extended model is closer to the actual situation in the real world, the increased variables make the complex mathematical structure is more difficult to understand. The accuracy of the input data is also harder to ensure. However, since each of those above models is just an extension of a part of many defects in the model, no model has yet been sent out to overcome all the shortcomings. Even if someone tries to develop such a model, there is nothing but only a bunch of complicated mathematical formula with no practical value will be got. 2.2 The accuracy of model input data Based on the B-S option pricing model, the stock price, exercise price, option period, risk-free interest rate and stock price volatility all are the model input variables. Apart from the volatility, the remaining four variables can be observed directly in the market. Thus, the accuracy of the input data is mainly determined by the volatility (James. Doran. Ehud. Ronn. 2005). Usually, there are two ways for estimating volatility: calculating the standard deviation of returns based on historical stock price data and weighting average on the implicit volatility implied in the market price. In spite of the volatility compared to the data which the model requires may have some bias when the option expires, it is a good approximation. After all it is impossible to get an accurate data on the future. 2.3 The Suitability of the Black-Scholes (B-S) Model Although the B-S pricing model assumptions cannot perfectly describe the real world with many drawbacks, it is still widely used in practice. The reason is that the model is not only easy to understand, but also the model input variables are relatively simple. To some certain extent, this ensures the accuracy of input data. In the practical application process of the B-S pricing model, the actual employees can adopt some simple extension models to overcome its shortcomings. For the random price changes, more trading techniques are utilized to overcome the problem of pricing bias rather than the use of the more complex extended model. Usually, the trading techniques are that taking different pricing volatilities for the different price and different maturity options. There are three specific operating methods as follows: 2.3.1 The Curve of the Exercise Price of Volatility According to the different option exercise prices, actual practitioners calculate the corresponding implicit price volatility and drawn the volatility curves with the changes of the option exercise price. If the curve is concave, it were called the volatility smile curve; If it is convex, it is known as the frown curve. According to the implementation curve of price volatility, it is impossible to estimate the different option exercise prices with different volatilities for the same stock. 2.3.2 The Structure of Volatility Period Actual practitioners can also draw the curve of the structure of volatility period based on the implied volatility. The curve reflects the relationship between the volatility and options expiration time. In the light of the curve, it can price the different option exercise prices with different volatilities for the same stock to show the volatility changes under it duration. 2.3.3 Volatility Matrix A coordinate of the volatility matrix is the strike price and the other coordinate is the time to maturity. The data in matrix are the implied price volatilities calculated from the BS pricing model. If a specific execution price and the option price in expiration date cannot be directly observed from the market, the options implied price volatility can be determined by linear interpolation. When there is a need for a new valuation of options, the corresponding strike price and the implicit pricing volatility in expiration date can be found from the matrix. Actually the relationship between the volatility structure and its changes with the exercise price are taken into account in the volatility matrix. 3 Conclusions Although the B-S pricing model is not very accurate, it is better than other option valuation methods and is still an indispensable trading analysis tool. Most of options traders think that the deficiencies of the BS pricing model should be offset by trading experience rather than more complex models. Owning the B-S pricing model in options market just likes holding a candle into the dark room. Sometimes the flickering candlelight may lead us to judge wrongly. With more and more study and research, there will be more appropriate option pricing model in the future than the B-S pricing model undoubtedly.

Sunday, May 17, 2020

Confidence Interval for the Difference of Two Population Proportions

Confidence intervals are one part of inferential statistics.  The basic idea behind this topic is to estimate the value of an unknown population  parameter by using a statistical sample.  We can not only estimate the value of a parameter, but we can also adapt our methods to estimate the difference between two related parameters.  For example we may want to find the difference in the percentage of the male U.S. voting population who supports a particular piece of legislation compared to the female voting population. We will see how to do this type of calculation by constructing a confidence interval for the difference of two population proportions.  In the process we will examine some of the theory behind this calculation.  We will see some similarities in how we construct a confidence interval for a single population proportion as well as a confidence interval for the difference of two population means. Generalities Before looking at the specific formula that we will use, lets consider the overall framework that this type of confidence interval fits into.  The form of the type of confidence interval that we will look at is given by the following formula: Estimate /- Margin of Error Many confidence intervals are of this type. There are two numbers that we need to calculate.  The first of these values is the estimate for the parameter.  The second value is the margin of error.  This margin of error accounts for the fact that we do have an estimate.  The confidence interval provides us with a range of possible values for our unknown parameter. Conditions We should make sure that all of the conditions are satisfied before doing any calculation. To find a confidence interval for the difference of two population proportions, we need to make sure that the following hold: We have two simple random samples from large populations.  Here large means that the population is at least 20 times larger than the size of the sample. The sample sizes will be denoted by n1 and n2.Our individuals have been chosen independently of one another.There are at least ten successes and ten failures in each of our samples. If the last item in the list is not satisfied, then there may be a way around this.  We can modify the plus-four confidence interval construction and obtain robust results.  As we go forward we assume that all of the above conditions have been met. Samples and Population Proportions Now we are ready to construct our confidence interval.  We start with the estimate for the difference between our population proportions. Both of these population proportions are estimated by a sample proportion.  These sample proportions are statistics that are found by dividing the number of successes in each sample, and then dividing by the respective sample size. The first population proportion is denoted by p1.  If the number of successes in our sample from this population is k1, then we have a sample proportion of k1 / n1. We denote this statistic by  pÌ‚1.  We read this symbol as p1-hat because it looks like the symbol p1 with a hat on top. In a similar way we can calculate a sample proportion from our second population.  The parameter from this population is p2.  If the number of successes in our sample from this population is k2, and our sample proportion is  pÌ‚2 k2 / n2. These two statistics become the first part of our confidence interval. The estimate of p1 is pÌ‚1.  The estimate of p2 is pÌ‚2.  So the estimate for the difference p1 - p2 is pÌ‚1 - pÌ‚2. Sampling Distribution of the Difference of Sample Proportions Next we need to obtain the formula for the margin of error.  To do this we will first consider the   sampling distribution of  pÌ‚1  . This is a binomial distribution with probability of success p1 and  n1 trials. The mean of this distribution is the proportion p1.  The standard deviation of this type of random variable has variance of p1  (1 - p1  )/n1. The sampling distribution of pÌ‚2 is similar to that of pÌ‚1  .  Simply change all of the indices from 1 to 2 and we have a binomial distribution with mean of p2 and variance of p2 (1 - p2 )/n2. We now need a few results from mathematical statistics in order to determine the sampling distribution of pÌ‚1 - pÌ‚2.  The mean of this distribution is p1 - p2.  Due to the fact that the variances add together, we see that the variance of the sampling distribution is p1  (1 - p1  )/n1 p2 (1 - p2 )/n2.  The standard deviation of the distribution is the square root of this formula. There are a couple of adjustments that we need to make.  The first is that the formula for the standard deviation of pÌ‚1 - pÌ‚2 uses the unknown parameters of p1 and p2.  Of course if we really knew these values, then it would not be an interesting statistical problem at all.  We would not need to estimate the difference between p1 and  p2..  Instead we could simply calculate the exact difference. This problem can be fixed by calculating a standard error rather than a standard deviation.  All that we need to do is to replace the population proportions by sample proportions.  Standard errors are calculated from upon statistics instead of parameters. A standard error is useful because it effectively estimates a  standard deviation.  What this means for us is that we no longer need to know the value of the parameters p1 and p2.  .Since these sample proportions are known, the standard error is given by the square root of the following expression: pÌ‚1 (1 -  pÌ‚1 )/n1   pÌ‚2 (1 -  pÌ‚2 )/n2. The second item that we need to address is the particular form of our sampling distribution.  It turns out that we can use a normal distribution to approximate the sampling distribution of  pÌ‚1  - pÌ‚2.  The reason for this is somewhat technical, but is outlined in the next paragraph.   Both  pÌ‚1 and  pÌ‚2   have a sampling distribution that is binomial.  Each of these binomial distributions may be approximated quite well by a normal distribution.  Thus pÌ‚1  - pÌ‚2 is a random variable.  It is formed as a linear combination of two random variables.  Each of these are approximated by a normal distribution.  Therefore the sampling distribution of pÌ‚1  - pÌ‚2 is also normally distributed. Confidence Interval Formula We now have everything we need to assemble our confidence interval.  The estimate is (pÌ‚1 - pÌ‚2) and the margin of error is z* [ pÌ‚1 (1 -  pÌ‚1 )/n1   pÌ‚2 (1 -  pÌ‚2 )/n2.]0.5.  The value that we enter for z* is dictated by the level of confidence C.  Ã‚  Commonly used values for z* are 1.645 for 90% confidence and 1.96 for 95% confidence.  These values for  z* denote the portion of the standard normal distribution where exactly  C percent of the distribution is between -z* and z*.   The following formula gives us a confidence interval for the difference of two population proportions: (pÌ‚1 - pÌ‚2) /- z* [ pÌ‚1 (1 -  pÌ‚1 )/n1   pÌ‚2 (1 -  pÌ‚2 )/n2.]0.5

Wednesday, May 6, 2020

Chapter Review 1-3 Principles of Supply Chain Management

Chapter Review 1-3 Principles of Supply Chain Management, 3ed Wisner, Leong, Tan 2012 Chapter Review 1-3 Chapter One: Introduction To Supply Chain Management A Supply Chain is the steps necessary for a manufacturer to procure materials, build a product, and transport the product to consumers. The consumers buy the products based on a combination of cost, quality, availability, maintainability and reputation factors. They hope these products will live up to their needs and expectations. An example of a supply chain that I was involved in while serving in the Air Force would be when I worked in the Supply Squadron. One of our customers, the jet engine maintenance shop, would need a part to repair and F101 engine for use on a†¦show more content†¦This is also likely to lower raw material inventory and total assets. E-Procurement brought many benefits to companies. It has proven to be a time saver and cost effective. It is more accurate as the information is only entered once instead of twice. Before the users had to enter the information and the buyer had to reenter the inf ormation creating another error point in the process. E-procurement is more flexible as it can be used without the restrictions of location or time of day. Status of orders can be looked at without having to check paper trails. There are different reasons why a firm may use a single supplier instead of favoring multiple suppliers. Using a single supplier gives a firm the chance to build a stronger relationship with the supplier. Costs would be lower due to larger purchases keeping the cost per unit down and transportation would be cheaper as the firm can take advantage of full truckloads. Single sourcing would also make sense if the firm’s requirements are too small. It would not be worthwhile to split the order among multiple suppliers. There is a disadvantage with sole sourcing as well. If the purchase was for a proprietary product or process and the supplier holds the patents to them, the firm has no choice but to buy from them. Multiple sourcing is advantageous fo r many reasons. 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Retrofitting and Rehabilitation of Civil Engineering Structures free essay sample

We obviously knew why should it be a non destructive test, because we aren’t allowed to destruct the entire structure in the name of testing. Roadware 10 Minute Concrete Menderâ„ ¢ Roadware needle tip crack injection costs less to install and is more effective than pressure applied epoxy injection methods.   according to top concrete repair contractors. We can get in, permanently repair the cracks, and get out in the same time it use to take just to install the old injection ports. Evaluation and Repair of Fire-Damaged Buildings †¢ Typically, repair materials are similar to the original construction materials. Timber structures may be repaired with new timbers or composites of steel and timber members, and steel structures are normally repaired with steel. †¢ Concrete and masonry structural elements are frequently repaired with fiber reinforced polymers (FRP) or externally bonded steel members using epoxy adhesive. Concrete structures are occasionally repaired with shotcrete as well. †¢ Selecting the appropriate repair material is a critical step in the repair process. We will write a custom essay sample on Retrofitting and Rehabilitation of Civil Engineering Structures or any similar topic specifically for you Do Not WasteYour Time HIRE WRITER Only 13.90 / page The repair material must be compatible with the base material, project needs, technical resources available, financial constraints, and multiple other project specific criteria. Two case studies are presented to illustrate various types of structural damage and repairs. †¢ The first summarizes the assessment and repair for arson damage to a reinforced concrete stadium structure. †¢ The second addresses the evaluation and repair of damage to a steel framed office building. Slab separation and joist spalling Case Study 1: Stadium Fire An arson fire occurred on an elevated level of a reinforced concrete stadium structure. After the fire department approved the area for entry, initial observations were made. The fire severely damaged the concrete in an area approximately 25 feet by 25 feet above the fire; the concrete joists were deeply spalled, the slab separated from the joists, and severe cracking was present The fire was intense to the extent that the seating area directly above the fire suffered heat damage Case Study 2: Occupied Steel High Rise Fire Fire occurred in an occupied space of a steel framed high rise. The steel framing was protected by a sprayed fire resistive material. The exposed metal deck supports a composite concrete floor system.. Heat from the fire caused some buckling of the metal decks near the fire Buckled metal deck. Note separation of concrete from metal deck through exploratory opening The evaluation effort included steel hardness readings of the structural steel framing members. In addition, concrete cores were extracted from the floor slab where the fire occurred and in the deck directly above the fire for compression testing. No testing was considered necessary in the adjacent room with deformed plastic due to the low temperature indication. Test results confirmed that steel hardness was in the expected range to indicate minimal heat damage to the steel frame. Concrete cores indicated that compressive strengths exceeded design requirements The assessment concluded that the steel frame did not require repairs. However, to prevent displacements of the separated concrete slab above the metal deck, structural repairs were required . The repairs included adding new beams to support the metal deck and the addition of grout to fill the voids between the concrete and metal deck FINALLY †¢ All structures should be evaluated in a systematic manner to determine the extent, if any, of required repairs. A variety of testing methods and tools are available to evaluate the effects on both the materials and structural elements. †¢ Evaluations, combined with an engineering analysis, allow effective and economical repair details to be developed and installed as needed.