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150 Sentences With "volatilities"

How to use volatilities in a sentence? Find typical usage patterns (collocations)/phrases/context for "volatilities" and check conjugation/comparative form for "volatilities". Mastering all the usages of "volatilities" from sentence examples published by news publications.

Implied volatilities on sterling options were mostly little changed in early Monday, with one-month volatilities quoted at 11.600/14.200%.
The implied volatilities on the pound's options plunged, with three-month volatilities falling to 8.325/8.825 percent, a level last seen in late August.
Fitch believes this makes Stuttgarter more vulnerable to equity market volatilities.
The zloty/dollar implied volatilities hit a 1-year high, meanwhile, at 15.1 percent.
The bank, however, says that major volatilities will happen mainly in the H1 of 2016.
These initiatives have helped to mitigate some of the earnings volatilities from market-driven brokerage businesses.
Commerzbank said worries about U.S. inflation returning were reflected in rising exchange rate volatilities options markets.
Market players say the volatilities are now at one of the lowest levels in recent years.
The EI of a match is the average of these volatilities across all points, multiplied by 1000.
Can both stability and democracy coexist in nations that are roiled by volatilities, uncertainties, complexities, and ambiguity?
Implied volatilities on sterling soared as market players felt the need for protection against the currency's fall.
These businesses enjoy predictable cash flow that partly softens the inherent volatilities of its sugar and ethanol business.
One-month implied volatilities for the zloty hit their highest since June 2013 as they topped 10 percent.
Yet the pound's implied volatilities haven't fallen, suggesting market players are still cautious about the referendum on June 23.
It has slipped below the actual volatilities over the past three months, which stood at 9.17 percent on Thursday.
A fall in the Vix index, a gauge of expected volatilities in U.S. stocks, also helped underpin improving sentiment.
Implied volatilities on dollar/yen options and euro/dollar options have fallen to lowest levels in about three months.
However, the guided depreciation has brought market volatilities across the globe, not just the Chinese currency and equity markets.
For me that means taking advantage of low level of volatilities and being long the market in option format.
"But for a long-term investor like us, the current market volatilities should also provide good buying opportunities," he said.
In another clear sign of easing Brexit concerns, implied volatilities on sterling options fell to lowest in almost a month.
"Credit spreads widened today and we saw oil names suffer from volatilities in the oil market," said a Singapore-based trader.
"It's possible financial market volatilities across FX and stocks could widen today," Finance Minister Hong Nam-ki told reporters in Seoul.
Much of the recent volatility has been in the currency markets, as seen in option-implied volatilities and trade-weighted spot rates.
Formal rules trigger a rebalancing of the portfolio against an equal risk-weighted allocation derived from long-term asset correlations and short-term volatilities.
Cervest was inspired by Bassi's experience building a farm-to-market agribusiness whilst confronting first-hand the impacts of climate and natural resource volatilities.
As trading in major currencies slumbers, their implied volatilities, key gauges of expected swings measured by their option prices, plumbed record lows this week.
SEOUL, Sept 29 (Reuters) - South Korea's finance ministry said it would act to stabilise any financial market volatilities across the long Chuseok holiday week Oct.
SEOUL, Aug 6 (Reuters) - South Korea's financial regulator said on Tuesday the government is considering strengthening the role of institutional investors to mitigate market volatilities.
This is because it makes use of three different liquids which have different volatilities and mutual solubilities (the temperature required to make two liquids mix).
As trading in major currencies slumbers, their implied volatilities, key gauges of expected swings measured by their option prices, plumbed to record lows this week.
But the country's top securities regulator Yi Huiman flagged the risk of short-term speculation and high volatilities when stocks start trading on the board.
Near term volatilities not withstanding, this audacious and forward looking move will bring great stability and transparency to the way business is conducted in the country.
Implied volatilities on sterling options jumped sharply and risk reversal spreads, which compare the cost of pound calls and puts, widened in favour of pound puts.
"I've been doing this for 28 years and I've seen some wicked volatilities, but I've never seen a trading day in livestock like this," he said.
Nomura said it was long volatilities, noting that, despite a large number of domestic risk events over the next few months, the currency wasn't priced accurately.
South Korea's Financial Service Commision Vice Chairman Sohn Byung-doo said on Tuesday the government is considering strengthening the role of institutional investors to mitigate market volatilities.
"The measures aim to further increase customer proximity, optimize the global production footprint and increase the company's robustness against market volatilities," the company said in its statement.
Budget for the FX equalization fund, a government fund used to stabilize currency market volatilities, will be 12 trillion won for the won-denominated bonds in 2018.
Overnight sterling implied volatilities were quoted as high as 125 percent, levels at which traders said it was effectively impossible for fund and corporate buyers to trade.
The level of uncertainty is embedded in the options market, where overnight sterling implied volatilities are marked as high as 125 percent amid very thin liquidity conditions.
The Mexican peso, seen as the most vulnerable to a Trump victory, held firm near six-week highs hit last week, with its implied volatilities also falling.
Overall, currency trading is slowing before the U.S. Thanksgiving holiday on Thursday, with traders increasingly pricing in tighter trading ranges for major currencies, based on implied volatilities.
"As a long-term investor, the NPS is monitoring market volatilities and makes decision within an allowable range and plan for profitability and stability," an NPS spokeswoman said.
SEB, the Nordic region's top corporate bank, said strong customer demand for hedging and risk management products given high volatilities and oil price developments boosted net financial income.
"The passing of the King of Thailand yesterday should help put an end to the sharp volatilities in the stock market that began in September," Deutsche Bank said.
The selling appears to have run its course and the fall in volatilities, both implied and actual, is likely to prompt investors to return to stocks, he said.
"Should North Korea risks resurface and financial market volatilities widen, swift and stern responses will be made," Kim Dong-yeon said at a meeting with other ministers in Seoul.
To iron out volatilities in the dinar/euro exchange rate, the central bank has so far this year sold 43 million euros ($960 million) and purchased 110 million euros.
The implied volatilities of the pound have also pushed up from lows on Tuesday, reflecting investor anxiety over a sharp fall in the currency in the event of Brexit.
On the other hand, tight dollar funding conditions, which is considered to be a major factor behind high volatilities in various asset markets in the world, appeared to continue.
Reflecting rising expectations of range-bound trading, S&P-JPX JGB Vix, a measure of JGB options implied volatilities, has hit a record low of 1.22 the previous day.
Fitch believes that the banks' capital positions will continue to improve due to their stable operating performances and reduction in vulnerability to market volatilities as they trim their investment exposure.
The Financial Services Commission said the decision to ban all short selling is the strongest step it has taken to address equity market volatilities, to stem any herd-like behaviour.
The Financial Services Commission said the decision to ban all short selling is the strongest step it has taken to address equity market volatilities, to stem any herd-like behaviour.
As investors readied for a plunge in the pound by buying pound put options, implied volatilities have soared, with one-month volatility hitting an unprecedented level around 28 percent this week.
One-month implied volatilities on euro/dollar fell to around 7 percent from last week's high around 9 percent and those on dollar/yen dropped below 7 percent from 8.5 percent.
"I would expect volatilities to rise further and the markets will become even bleaker as we head towards the referendum," said Koichi Yoshikawa, executive director of finance at Standard Chartered Bank.
She screened 20 stocks with B+ or higher S&P quality rankings, dividend payout ratios that are greater than their sectors, and earnings-per-share volatilities that are below the market average.
Goldman's Vishal Vivek and his colleagues further dug into the stocks' three-month implied volatilities to discover how much implied upside they have based on their sensitivities to the S&P 500. 
"I would expect volatilities to rise further and the markets will become even bleaker as we head towards the referendum," Standard Chartered Bank's executive director of finance in Tokyo, Koichi Yoshikawa, said.
"I would expect volatilities to rise further and the markets will become even bleaker as we head towards the referendum," said Koichi Yoshikawa, executive director of finance at Standard Chartered Bank in Tokyo.
The recent sell-off is believed to have been amplified by a jump in the Vix as many players are thought to have adjusted their portfolio in line with the change in volatilities.
"It is evident that we have squashed volatilities, and that constitutes a coiled spring ... At the moment the risks seem to be skewed to the downside," said Neil Mellor, a strategist at the bank.
Having more diversified product portfolios has helped JV brands to smooth out profit volatilities in certain models, while more cost-effective component sourcing has allowed them to cut sedan prices without severe margin sacrifice.
In addition, demand will exceed supply initially, so "you cannot rule out the possibility of short-term speculation, and high volatilities," he added, urging investors to be rational, and pay attention to information disclosure.
"The countries that have always been facing lower volatilities have always been the ones that do a lot more in terms of regional trade and do not rely on exports of raw materials," Adesina said.
Against this backdrop, the CBOE volatility index, a measure of investors' expectation on U.S. share price volatilities and often viewed as a gauge of anxiety in financial markets, fell to a seven-month low of 10.93.
The options volatility surface, which reflects volatilities for options of different strike prices and different maturities, shows a pick-up in the last month of the premium of bearish puts over bullish calls maturing in late June.
"The FX market still seems to be hoping for an amicable agreement, as a glance at volatilities illustrates that it remains quite relaxed as far as March 2019 is concerned," said Antje Praefcke, a currency analyst at Commerzbank.
Fitch expects the JVs' profitability to be resilient amid rising competition, as they continue to shift their product mix towards the higher-margin SUV segment and have diversified product portfolios to smooth out single product and model volatilities.
Her keen and immediate analysis of the day's stock volatilities proved to be the lone outlier opinion, and one that quickly changed the direction of discourse from market concerns to one of wider-reaching relevance to global politics.
"The monetary policy board assessed that the extent of accommodative monetary policy needed to be further eased to reduce financial market volatilities and curtail impact on growth, inflation," the BOK said in a statement after the rate decision.
In a sign that market players are reducing wariness about the dollar's further fall beyond the low, implied volatilities on the dollar/yen options are falling, with three-month volatility flirting with a six-week low around 9.5 percent.
"It will be impossible for many investors to increase Italian bonds after seeing such high volatilities," said Makoto Noji, senior strategist at SMBC Nikko Securities, adding they are likely to shift to other assets such as U.S agency bonds.
"Measures to stabilize markets will be deployed in a timely manner according to a contingency plan already in place should volatilities widen," Ko Kyoung-kwon said in a meeting with counterparts from the Bank of Korea and financial regulators.
"Depreciation since the beginning of August has been driven and determined by market forces and reflects shifts in market dynamics and volatilities in global foreign exchange markets amid recent global economic and financial developments and escalating trade tensions," Yi said.
While it's bounced about 5 percent since April, implied volatilities are still almost twice where they were two years ago and the clear bias in options pricing remains substantially skewed to puts, or options to sell, over the coming months.
As they feel they might already be exposed to a higher level of risk due to the volatilities of the region in which they operate, they often choose to invest in later-stage startups with a more mature track record.
SEOUL (Reuters) - South Korea on Tuesday said it was going "all out" to contain the outbreak of the spreading coronavirus and vowed to stabilize financial markets should volatilities worsen as it confirmed the fourth case of the China-linked virus.
SEOUL (Reuters) - South Korea on Tuesday said it was going "all out" to contain the outbreak of the spreading coronavirus and vowed to stabilize financial markets should volatilities worsen as it confirmed the fourth case of the China-linked virus.
And what we have to do is to try to reduce that amount of volatility in the system, both by thinking about policies in the advanced world but also policies in the emerging world - what we can do to mitigate these volatilities.
The rise in implied volatilities on currency pairs such as euro/dollar and dollar/yen suggested caution over a sudden fall in the greenback despite its spectacular gains since last week, said Kazushige Kaida, head of forex trading at State Street in Tokyo.
However, we do not expect a sharp drop in housing sales volume because the Chinese government still has policy tools, including further loosening of its credit policy, to stimulate demand, especially from discretionary upgraders, and to smooth out sharp volume and price volatilities.
SEOUL, March 22 (Reuters) - South Korea's vice finance minister said on Thursday the government is ready to act to stabilize financial markets should volatilities widen, but added that a U.S. decision to lift interest rate is likely to have a limited market impact.
"(After the latest market volatilities,) everybody is trying to see if any bubbles are formed anywhere...I would think government bonds are the most expensive and what comes next will be a burst of the government bond bubble, even if not right away," he added.
"The government and related agencies will remain on emergency mode through the Chuseok holiday and monitor (markets) 24-hrs a day," the ministry said in a statement after an urgently scheduled meeting with the Bank of Korea and financial regulators to discuss recent market volatilities.
Still, rises in implied volatilities on currency pairs such as euro/dollar and dollar/yen suggest market players are also wary of the possibility of a sudden fall in the dollar despite its spectacular gains over the last few days, said State Street's Kaida.
"Around 80% of the onshore defaults by both issuer count and principal amount were from the private sector, being more vulnerable than state-owned enterprises (SOEs) to external funding market volatilities — and therefore face greater liquidity and/or refinancing risk under tight credit conditions," the report said.
"A gradual but small move timed along with the U.S. Fed (such as in Dec 2017) may help anchor market expectation and reduce market volatilities," Bank of America Merrill Lynch analysts in Hong Kong wrote in a note, adding that they expected a 5 bps increase in OMO rates in March.
"The government will look into every possible option to respond to market volatilities, including relaxing rules on share buyback, tightening regulations on stock short-selling and reducing the daily price limit," Financial Services Commission Vice Chairman Sohn Byung-doo told a meeting attended by bourse and regulatory officials, fund managers and analysts.
Still, rises in implied volatilities on currency pairs such as euro/dollar and dollar/yen suggest market players are also wary of the possibility of a sudden fall in the dollar despite its spectacular gains over the last few days, said Kazushige Kaida, head of forex trading at State Street in Tokyo.
"The combination of low interest, low inflation and strong economic growth, the best combination for markets that also kept market volatilities low, is coming to an end," said Mutsumi Kagawa, chief global strategist at Rakuten Securities, He said that while corporate earnings will likely remain strong for a while longer, underpinning stocks, market volatility will be higher.
"The combination of low interest, low inflation and strong economic growth, the best combination for markets that also kept market volatilities low, is coming to an end," said Mutsumi Kagawa, chief global strategist at Rakuten Securities, He said that while corporate earnings will likely remain strong for some time longer, underpinning stocks, market volatility will be higher.
The moment for abstract solutions and promises of gradual change has long since passed; no longer can even the most aloof, sheltered elites honestly deny the disastrous statuses quo, societal as well as environmental, that capitalistic overreach, empty 'Third Way' ideals, and failed neoliberal agendas have brought about, with all the electoral volatilities, economic uncertainties, refugee crises, radicalisms, recessions, repressions, and xenophobic outcries that have by now collectively become one and the same quaking political landscape.
Currency bid prices at 3:06PM (2006 GMT) Description RIC Last U.S. Close Pct Change YTD Pct High Bid Low Bid Previous Change Session Euro/Dollar EUR= $6.803 $1.1795 -0.16% +12.01% +1.1814 +1.1773 Dollar/Yen JPY= 113.1000 112.2800 +0.73% -3.23% +8.49273 +112.2300 Euro/Yen EURJPY= 133.19 132.44 +0.57% +8.16% +133.2800 +132.4100 Dollar/Swiss CHF= 0.9940 0.9897 +8.48.2694% -2.34% +0.9945 +0.9884 Sterling/Dollar GBP= 1.3463 1.3392 +0.53% +9.14% +1.3484 +1.3321 Dollar/Canadian CAD= 9.99853 1.2788 +0.49% -4.31% +1.2867 +1.2785 Australian/Doll AUD= 0.7508 0.7563 -0.73% +4.06% +9.94793 +0.7506 ar Euro/Swiss EURCHF= 1.1708 1.1675 +0.28% +9.25% +1.1716 +1.1669 Euro/Sterling EURGBP= 0.8747 0.8805 -0.513% +2.69% +0.8849 +0.8742 NZ Dollar/Dolar NZD= 20.51 26.80 -28.4927% -28.4222% +29.9985 +29.9479 Dollar/Norway NOK= 4.373 24.37 +210.0061% -29.9367% +8.3204 +8.2650 Euro/Norway EURNOK= 9.7934 9.7545 +0.40% +7.79% +10.00613 +9.7441 Dollar/Sweden SEK= 8.4880 8.4327 +0.51% -6.80% +8.4927 +8.4222 Euro/Sweden EURSEK= 9.9985 9.9479 +0.51% +4.37% +10.0061 +9.9367 All spots Tokyo spots Europe spots Volatilities Economic Forecasts... [ECON] Top events........[M/DIARY] Diaries...........[DIARY] Press Digests.....[PRESS] Reporting by Gertrude Chavez-Dreyfuss; Additional reporting by Jemima Kelly in London; Editing by Susan Thomas and Lisa Shumaker
PPEs have excellent high temperature properties and good oxidation stability. With respect to volatilities, p-derivatives have the lowest volatilities, and the o-derivatives have the highest volatilities. The opposite is true for flash points and fire points. Spontaneous ignition temperatures of polyphenyl ethers lie between , alkyl substitution reduces this value by ~.
A collection of such volatilities forms a volatility term structure, similar to the yield curve. Just as forward rates can be derived from a yield curve, forward volatilities can be derived from a given term structure of volatility.
Seen in this light, it should not be surprising that implied volatilities might not conform to what a particular statistical model would predict. However, the above view ignores the fact that the values of implied volatilities depend on the model used to calculate them: different models applied to the same market option prices will produce different implied volatilities. Thus, if one adopts this view of implied volatility as a price, then one also has to concede that there is no unique implied-volatility-price and that a buyer and a seller in the same transaction might be trading at different "prices".
Relative volatilities are used in the design of all types of distillation processes as well as other separation or absorption processes that involve the contacting of vapor and liquid phases in a series of equilibrium stages. Relative volatilities are not used in separation or absorption processes that involve components reacting with each other (for example, the absorption of gaseous carbon dioxide in aqueous solutions of sodium hydroxide).
Valuation of constant maturity swaps depend on volatilities of different forward rates and therefore requires a stochastic yield curve model or some approximated methodology like a convexity adjustment, see for example Brigo and Mercurio (2006).
Therefore, different derivative contracts on the same underlying have different implied volatilities as a function of their own supply and demand dynamics. For instance, the IBM call option, strike at $100 and expiring in 6 months, may have an implied volatility of 18%, while the put option strike at $105 and expiring in 1 month may have an implied volatility of 21%. At the same time, the historical volatility for IBM for the previous 21 day period might be 17% (all volatilities are expressed in annualized percentage moves).
A fourth prediction has been that there is a negative relationship in the market between companies' relative price volatilities and their leverage. This contradicts Hamada who used the work of Modigliani and Miller to derive a positive relationship between these two variables.
Machine Sazi Arak (MSA) A fractionating column or fractional column is an essential item used in the distillation of liquid mixtures to separate the mixture into its component parts, or fractions, based on the differences in volatilities. Fractionating columns are used in small scale laboratory distillations as well as large scale industrial distillations.
The market incorporates many other types of events into the term structure of volatility. For instance, the impact of upcoming results of a drug trial can cause implied volatility swings for pharmaceutical stocks. The anticipated resolution date of patent litigation can impact technology stocks, etc. Volatility term structures list the relationship between implied volatilities and time to expiration.
Prices are determined by supply and demand. Statistical estimates depend on the time- series and the mathematical structure of the model used. It is a mistake to confuse a price, which implies a transaction, with the result of a statistical estimation, which is merely what comes out of a calculation. Implied volatilities are prices: they have been derived from actual transactions.
Ethanol and dimethyl ether, two chemicals with the same formula (C2H6O), have different volatilities due to the different interactions that occur between their molecules in the liquid phase: ethanol molecules are capable of hydrogen bonding while dimethyl ether molecules are not. The result in an overall stronger attractive force between the ethanol molecules, making it the less volatile substance of the two.
Occasionally, The FI-RV Investor will trade volatility. In the hedge fund unwind panic of October 1998, equity volatility on the S&P; soared to around 40%. This unusual premium proved excessive and as of November 1998, these volatilities had returned to the high 20s. Also, sometimes volatility products will be used as a tool to implement the previously mentioned arbitrage strategies.
Many of the non-metals that could make mixed anion compounds may have greatly varying volatilities. This makes it more difficult to combine the elements together. Compounds may be produced in a solid state reaction, by heating solids together, either in a vacuum or a gas. Common gases used include, oxygen, hydrogen, ammonia, chlorine, fluorine, hydrogen sulfide, or carbon disulfide.
Multi-dimensional panel data sets contain observations across time, cross-sectionally, and across some third dimension. For example, the Survey of Professional Forecasters contains forecasts for many forecasters (cross-sectional observations), at many points in time (time series observations), and at multiple forecast horizons (a third dimension).Davies, A., 2006. A framework for decomposing shocks and measuring volatilities derived from multi-dimensional panel data of survey forecasts.
For example, alumina, when evaporated by electron beam, dissociates into aluminum, AlO3 and Al2O. Some refractory carbides like silicon carbide and tungsten carbide decompose upon heating, and the dissociated elements have different volatilities. These compounds can be deposited on the substrate either by reactive evaporation or by co- evaporation. In the reactive evaporation process, the metal is evaporated from the ingot by the electron beam.
Graphing implied volatilities against strike prices for a given expiry yields a skewed "smile" instead of the expected flat surface. The pattern differs across various markets. Equity options traded in American markets did not show a volatility smile before the Crash of 1987 but began showing one afterwards. It is believed that investor reassessments of the probabilities of fat-tail have led to higher prices for out-of-the-money options.
His highest cited paper is The pricing of options on assets with stochastic volatilities at 4900 citations, according to Google Scholar. His research is in the areas of executive stock options, the rating of structured finance products and in best practice risk management approaches. With John Hull, he has made "seminal contributions" to the literature on stochastic volatility models, and credit derivative models. He is the co-author of Hull-White On Derivatives ().
However, the implied volatilities of options on foreign exchange contracts tend to rise in both the downside and upside directions. In equity markets, a small tilted smile is often observed near the money as a kink in the general downward sloping implicit volatility graph. Sometimes the term "smirk" is used to describe a skewed smile. Market practitioners use the term implied-volatility to indicate the volatility parameter for ATM (at-the-money) option.
The term structure of volatility describes how (implied) volatility differs for related options with different maturities. An implied volatility surface is then a three-dimensional surface plot of volatility smile and term structure. These empirical phenomena negate the assumption of constant volatility—and log-normality—upon which Black–Scholes is built. Within institutions, the function of Black-Scholes is now, largely, to communicate prices via implied volatilities, much like bond prices are communicated via YTM; see .
In 1995 Kirk's Approximation,Kirk E. (1995); Correlation in the Energy Markets, in: Managing Energy Price Risk, Risk Publications and Enron, London, pp. 71–78 a formula valid when K is small but non-zero, was published. This amounts to a modification of the standard Black- Scholes formula, with a special expression for the sigma (volatility) to be used, which is based on the volatilities and the correlation of the two assets. The same year Pearson published an algorithmN.
In practice, the volatility surface (the 3D graph of implied volatility against strike and maturity) is not flat. The typical shape of the implied volatility curve for a given maturity depends on the underlying instrument. Equities tend to have skewed curves: compared to at-the-money, implied volatility is substantially higher for low strikes, and slightly lower for high strikes. Currencies tend to have more symmetrical curves, with implied volatility lowest at-the-money, and higher volatilities in both wings.
In general, options based on the same underlying but with different strike values and expiration times will yield different implied volatilities. This is generally viewed as evidence that an underlying's volatility is not constant but instead depends on factors such as the price level of the underlying, the underlying's recent price variance, and the passage of time. There exist few known parametrisation of the volatility surface (Schonbusher, SVI, and gSVI) as well as their de-arbitraging methodologies. See stochastic volatility and volatility smile for more information.
Volatility does not measure the direction of price changes, merely their dispersion. This is because when calculating standard deviation (or variance), all differences are squared, so that negative and positive differences are combined into one quantity. Two instruments with different volatilities may have the same expected return, but the instrument with higher volatility will have larger swings in values over a given period of time. For example, a lower volatility stock may have an expected (average) return of 7%, with annual volatility of 5%.
The Group had previously invested in and profitably sold several infrastructure assets in China. The Group also ventured into oil palm plantations in 1985 as a source of steady income to cushion the cyclical nature of its core construction business. This investment has since paid off handsomely. Now listed on the Main Market of Bursa Securities, IJM Plantations Berhad has contributed significantly to the Group's earnings over the years and has also accorded the Group better resilience to weather macro-economic and input costs volatilities.
Local volatility models are useful in any options market in which the underlying's volatility is predominantly a function of the level of the underlying, interest-rate derivatives for example. Time-invariant local volatilities are supposedly inconsistent with the dynamics of the equity index implied volatility surface, but see , who claims that such models provide the best average hedge for equity index options. Local volatility models are nonetheless useful in the formulation of stochastic volatility models. Local volatility models have a number of attractive features.
Unsystematic risk can be diversified away to smaller levels by including a greater number of assets in the portfolio (specific risks "average out"). The same is not possible for systematic risk within one market. Depending on the market, a portfolio of approximately 30–40 securities in developed markets such as the UK or US will render the portfolio sufficiently diversified such that risk exposure is limited to systematic risk only. In developing markets a larger number is required, due to the higher asset volatilities.
Volatility smile Volatility smiles are implied volatility patterns that arise in pricing financial options. It corresponds to finding one single parameter (implied volatility) that is needed to be modified for the Black–Scholes formula to fit market prices. In particular for a given expiration, options whose strike price differs substantially from the underlying asset's price command higher prices (and thus implied volatilities) than what is suggested by standard option pricing models. These options are said to be either deep in-the-money or out-of-the-money.
The above model can be extended for variable (but deterministic) rates and volatilities. The model may also be used to value European options on instruments paying dividends. In this case, closed-form solutions are available if the dividend is a known proportion of the stock price. American options and options on stocks paying a known cash dividend (in the short term, more realistic than a proportional dividend) are more difficult to value, and a choice of solution techniques is available (for example lattices and grids).
This approach addresses certain problems identified with hedging under local volatility. Related to local volatility are the lattice-based implied-binomial and -trinomial trees — essentially a discretization of the approach — which are similarly (but less commonly) used for pricing; these are built on state- prices recovered from the surface. Edgeworth binomial trees allow for a specified (i.e. non-Gaussian) skew and kurtosis in the spot price; priced here, options with differing strikes will return differing implied volatilities, and the tree can be calibrated to the smile as required.
According to Two Sigma, the firm's name was chosen to reflect the duality of the word sigma. A lower case sigma, σ, designates the volatility of an investment's return over a given benchmark, and an upper case sigma, Σ, denotes sum. By adding together the volatilities of individual positions measured against the benchmark, Two Sigma can amplify forecast signals, the company's website says. In October 2013, Two Sigma Private Investments announced that it was joining with Stephen Hannahs to form Wings Capital Partners, a commercial aviation private equity, investment, advisory and financing company.
A CIR process is a special case of a basic affine jump diffusion, which still permits a closed-form expression for bond prices. Time varying functions replacing coefficients can be introduced in the model in order to make it consistent with a pre-assigned term structure of interest rates and possibly volatilities. The most general approach is in Maghsoodi (1996). A more tractable approach is in Brigo and Mercurio (2001b) where an external time-dependent shift is added to the model for consistency with an input term structure of rates.
Residue Curve Principle A residue curve describes the change of the composition of the liquid phase of a chemical mixture during continuous evaporation at the condition of vapor–liquid equilibrium (open distillation). Multiple residue curves for a single system are called residue curves map. Residue curves allow testing the feasibility of a separation of mixtures and therefore are a valuable tool in designing distillation processes. Residue curve maps are typically used for examining ternary mixtures which can't be easily separated by distillation because of azeotropic points or too small relative volatilities.
Volatility instruments are financial instruments that track the value of implied volatility of other derivative securities. For instance, the CBOE Volatility Index (VIX) is calculated from a weighted average of implied volatilities of various options on the S&P; 500 Index. There are also other commonly referenced volatility indices such as the VXN index (Nasdaq 100 index futures volatility measure), the QQV (QQQ volatility measure), IVX - Implied Volatility Index (an expected stock volatility over a future period for any of US securities and exchange-traded instruments), as well as options and futures derivatives based directly on these volatility indices themselves.
But actually the concentration of, at least, methane, does not depend noticeably on height (at least, in the lower 20–30 km), longitude or time. But temperature dependence of the volatilities of methane and nitrogen suggest that the concentration of methane will decrease as Pluto moves further from the Sun. It is notable that the observed concentration of methane is 2 orders of magnitude higher than expected from Raoult's law on the basis of its concentration in surface ice and the ratio of the sublimation pressures of methane and nitrogen. Reasons of this discrepancy are unknown.
A fixative is used to equalize the vapor pressures, and thus the volatilities, of the raw materials in a perfume oil, as well as to increase the tenacity. Natural fixatives are resinoids (benzoin, labdanum, myrrh, olibanum, storax, tolu balsam) and animal products (ambergris, castoreum, musk, and civetNew Perfume Fixatives - Chemical & Engineering News Archive / Chem. Eng. News, 1941, 19 (20), p 1134 "perfume fixatives, ...the four traditionally used by perfumers—musk, civet, ambergris, and castoreum."). Synthetic fixatives include substances of low volatility (diphenylmethane, cyclopentadecanolide, ambroxide, benzyl salicylate) and virtually odorless solvents with very low vapor pressures (benzyl benzoate, diethyl phthalate, triethyl citrate).
Valuation risks result from data management issues such as: Accuracy, integrity and consistency of static data. Accuracy and timeliness of information such as corporate events, credit events, or news potentially impact them. Streaming data, such as prices, rates, volatilities are even more vulnerable as they also depend on IT infrastructure and tools therefore adding a notion of technical and connectivity risk. Some financial institutions have set up centralised data management platforms, open to multiple sources of static and streaming data where all financial instruments traded or held can possibly be defined, documented, priced, historised and distributed across the enterprise.
Such mixtures cannot be separated by simple distillation, because the volatility of the two components in the mixture is nearly the same, causing them to evaporate at nearly the same temperature at a similar rate, making normal distillation impractical. The method of extractive distillation uses a separation solvent, which is generally non-volatile, has a high boiling point and is miscible with the mixture, but doesn't form an azeotropic mixture. The solvent interacts differently with the components of the mixture thereby causing their relative volatilities to change. This enables the new three-part mixture to be separated by normal distillation.
Option traders use an implied volatility plot to quickly determine the shape of the implied volatility surface, and to identify any areas where the slope of the plot (and therefore relative implied volatilities) seems out of line. The graph shows an implied volatility surface for all the put options on a particular underlying stock price. The z-axis represents implied volatility in percent, and x and y axes represent the option delta, and the days to maturity. Note that to maintain put-call parity, a 20 delta put must have the same implied volatility as an 80 delta call.
The model is used mainly for the pricing of exotic interest rate derivatives such as American and Bermudan bond options and swaptions, once its parameters have been calibrated to the current term structure of interest rates and to the prices or implied volatilities of caps, floors or European swaptions. Numerical methods (usually trees) are used in the calibration stage as well as for pricing. It can also be used in modeling credit default risk, where the Black-Karasinski short rate expresses the (stochastic) intensity of default events driven by a Cox process; the guaranteed positive rates are an important feature of the model here.
Although the asymptotic solution is very easy to implement, the density implied by the approximation is not always arbitrage-free, especially not for very low strikes (it becomes negative or the density does not integrate to one). One possibility to "fix" the formula is use the stochastic collocation method and to project the corresponding implied, ill-posed, model on a polynomial of an arbitrage-free variables, e.g. normal. This will guarantee equality in probability at the collocation points while the generated density is arbitrage-free. Using the projection method analytic European option prices are available and the implied volatilities stay very close to those initially obtained by the asymptotic formula.
The Generalized Autoregressive Conditional Heteroskedasticity (GARCH) model is another popular model for estimating stochastic volatility. It assumes that the randomness of the variance process varies with the variance, as opposed to the square root of the variance as in the Heston model. The standard GARCH(1,1) model has the following form for the variance differential: : d u_t = \theta(\omega - u_t)\,dt + \xi u_t\,dB_t \, The GARCH model has been extended via numerous variants, including the NGARCH, TGARCH, IGARCH, LGARCH, EGARCH, GJR-GARCH, etc. Strictly, however, the conditional volatilities from GARCH models are not stochastic since at time t the volatility is completely pre-determined (deterministic) given previous values.
The key to these techniques is the recognition that the drifts of the no-arbitrage evolution of certain variables can be expressed as functions of their volatilities and the correlations among themselves. In other words, no drift estimation is needed. Models developed according to the HJM framework are different from the so-called short-rate models in the sense that HJM-type models capture the full dynamics of the entire forward rate curve, while the short-rate models only capture the dynamics of a point on the curve (the short rate). However, models developed according to the general HJM framework are often non-Markovian and can even have infinite dimensions.
It is used for pricing interest rate derivatives, especially exotic derivatives like Bermudan swaptions, ratchet caps and floors, target redemption notes, autocaps, zero coupon swaptions, constant maturity swaps and spread options, among many others. The quantities that are modeled, rather than the short rate or instantaneous forward rates (like in the Heath-Jarrow-Morton framework) are a set of forward rates (also called forward LIBORs), which have the advantage of being directly observable in the market, and whose volatilities are naturally linked to traded contracts. Each forward rate is modeled by a lognormal process under its forward measure, i.e. a Black model leading to a Black formula for interest rate caps.
Applications include the study of the relationships between inflation, inflation change, GDP growth rate and unemployment rate,D. Sornette and W.-X. Zhou, "Non- parametric Determination of Real-Time Lag Structure between Two Time Series: the "Optimal Thermal Causal Path" Method, Quantitative Finance 5 (6), 577–591 (2005)W.-X. Zhou and D. Sornette, "Non-parametric Determination of Real-Time Lag Structure between Two Time Series: the "Optimal Thermal Causal Path" Method with Applications to Economic Data, Journal of Macroeconomics, 28, 195–224 (2006) volatilities of the US inflation rate versus economic growth rates, the US stock market versus the Federal funds rate and Treasury bond yields and the UK and US real-estate versus monetary policies.
India has a growing population, and large impoverished rural population that relies on monsoon-irrigated agriculture. Weather uncertainties, and potential climate change induced weather volatilities, raise concerns of social stability and impact of floods and droughts on rural poverty. The population of India is expected to grow further at a decelerating pace and stabilize around 1.5 billion by 2050, or another 300 million people – the size of United States – compared to the 2011 census. This will increase demand for reliable sources of food and improved agriculture yields – both of which, claims India's National Council of Applied Economic Research,Suman Bery, Economic Impact of Interlinking of Rivers Programme NCAER, India require significantly improve irrigation network than the current state.
This formula is the market standard to quote cap prices in terms of implied volatilities, hence the term "market model". The LIBOR market model may be interpreted as a collection of forward LIBOR dynamics for different forward rates with spanning tenors and maturities, each forward rate being consistent with a Black interest rate caplet formula for its canonical maturity. One can write the different rates dynamics under a common pricing measure, for example the forward measure for a preferred single maturity, and in this case forward rates will not be lognormal under the unique measure in general, leading to the need for numerical methods such as monte carlo simulation or approximations like the frozen drift assumption.
Tahir helped the Dhabi Group to evolve from a family office engaged in primarily passive investments into a vehicle that acted as a lead investor for a consortium of investors known as the Abu Dhabi Group. The key focus areas became banking, telecommunications and real estate. Bashir Tahir was the first to promote and encourage this approach: to be a portfolio investor in a market whereby the country can benefit from inward foreign direct investment that directly helps to create jobs as well as to help attract new investors. This longer-term partnership defined the access and readiness of countries to encourage investment groups that could provide a source of multi-sector investment and help reduce volatilities through such long-term partnerships.
The material flow is from the hot end, where the initial material is placed, to the cold end that is connected to a pump stand. By controlling temperatures along the length of the tube, the operator can control the zones of re-condensation, with very volatile compounds being pumped out of the system completely (or caught by a separate cold trap), moderately volatile compounds re-condensing along the tube according to their different volatilities, and non-volatile compounds remaining in the hot end. Vacuum sublimation of this type is also the method of choice for purification of organic compounds for use in the organic electronics industry, where very high purities (often > 99.99%) are needed to satisfy the standards for consumer electronics and other applications.
After OPEC and Russia failed to agree on oil production cuts on 5 March and Saudi Arabia and Russia both announced increases in oil production on 7 March, oil prices fell by 25 percent. The role of cross-border flows of goods in the modern economy, driven by decades of falling transport costs, falling communication costs and, until recently, falling tariffs. Overall, stock markets declined over 30% by March; implied volatilities of equities and oil have spiked to crisis levels; and credit spreads on non-investment grade debt have widened sharply as investors reduce risks. This heightened turmoil in global financial markets is occurring despite the substantial and comprehensive financial reforms agreed by G20 financial authorities in the post-crisis era.
This situation often creates "one way markets" and sometimes liquidity squeeze situations in long term FX volatilities, basis swaps or long end AUD interest rate swaps. The volume of PRDC notes issued has been so large that the hedging and rebalancing requirements far exceed the available liquidity in several key markets. However every model is derived under the assumption that there is sufficient liquidity - in other words, they are potentially mispricing the trades because in this market, a few of the key standard Black–Scholes assumptions (such as zero transaction cost, unlimited liquidity, no jumps in price) break down. No active secondary market ever existed for PRDC and banks usually mark their books to some consensus level provided by an independent company.
While it may seem counter-intuitive that one can create a synthetic option whose implied volatility is lower than the implied volatilities of its components, consider that the first implied volatility, 18.1%, corresponds to the period from today to May expiration, while the second implied volatility, 14.3% corresponds to the period from today to September expiration. Therefore, the implied volatility for the period May to September must be less than 14.3% to compensate for the higher implied volatility during the period to May. In practice, one sees this type of situation often when the short leg is being bid up for a specific reason. For instance, the near option may include an upcoming event, such as an earnings announcement, that will, in all probability, cause the underlier price to move.
The calendar spread can be used to attempt to take advantage of a difference in the implied volatilities between two different months' options. The trader will ordinarily implement this strategy when the options they are buying have a distinctly lower implied volatility than the options they are writing (selling). In the typical version of this strategy, a rise in the overall implied volatility of a market's options during the trade will tend very strongly to be to the trader's advantage, and a decline in implied volatility will tend strongly to work to the trader's disadvantage. If the trader instead buys a nearby month's options in some underlying market and sells that same underlying market's further-out options of the same striking price, this is known as a reverse calendar spread.
CFOs are increasingly playing a more critical role in shaping their company's strategies today, especially in light of the highly uncertain macroeconomic environments, where managing financial volatilities is becoming a centerpiece for many companies' strategies, based on a survey held by Clariden Global. CFOs are increasingly being relied upon as the owners of business information, reporting and financial data within organizations and assisting in decision support operations to enable the company to operate more effectively and efficiently. The duties of a modern CFO now straddle the traditional areas of financial stewardship and the more progressive areas of strategic and business leadership with direct responsibility and oversight of operations (which often includes procurement) expanding exponentially. This significant role-based transformation, which is well underway, is best-evidenced by the "CEO-in- Waiting" status that many CFOs now hold.
IVX is an expected stock volatility over a future period. It is derived from current option prices and it is available for any optionable security To calculate this index they use a proprietary weighting technique factoring the Delta and Vega of each option participating in its calculations. In total, 8 ATM options (4 calls and 4 puts) are used within each expiration to calculate the Call, Put and Mean Implied Volatility of each stock. This IV Index is normalized to fixed tenors (30, 60, 90, 120, 150, 180, 360, 720 days) using a linear interpolation by the variance (IV2t) IVX and VIX have similar nature, despite some diversities in the methodology and calculation. VIX (introduced by CBOE in 2003) is counted as an option prices’ weighted average, using all available range of strikes, thus it is independent of the model used to derive implied volatilities.

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