**Introduction**

Bonus certificates are designed to provide a predictable return in sideways markets, and market returns in rising markets.

At the time they’re issued, bonus certificates normally have a term to maturity of two to four years. You will receive a specified cash pay-out (“bonus level” or “Strike”) if at maturity the price of the underlying is below or at the strike, as long as the underlying instrument has not touched or fallen below an established price level (“safety threshold” or “barrier”) during the term of the certificate.

Unless the certificate has a cap, you continue to participate in the price gains if the underlying instrument rises above the bonus level. In this case you either receive the corresponding number of shares or a cash settlement reflecting the value of the underlying instrument on the maturity date.

However, if the barrier is breached, you will no longer be entitled to the bonus payment. The value of the certificate then corresponds to the value of the underlying (times the ratio). In other words, once the barrier has been touched the certificate effectively converts to an index certificate. You will receive either the corresponding number of shares or a cash settlement reflecting the value of the underlying instrument on the maturity date.

Although there is no structured leverage, the presence of the barrier creates effective leverage. When the price of the underlying instrument approaches the barrier the probability of a breach increases, affecting the price of the certificate disproportionately.

**Pay-out Profile**

**Example**

Assume a bonus certificate on ABC share. The certificate has a strike of EUR 45.00 and a barrier set at EUR 36.00. The table below shows scenarios depending on the trading range of the underlying, the final price of the underlying and whether the barrier has been touched or not.

**Introduction**

A warrant confers the right to buy (call-warrant) or sell (put-warrant) a specific quantity of a specific underlying instrument at a specific price over a specific period of time.

**Pay-out Profile**

With some warrants, the option right can only be exercised on the expiration date. These are referred to as “European-style” warrants. With “American-style” warrants, the option right can be exercised at any time prior to expiration. The vast majority of listed warrants are cash-exeercised, meaning that you cannot exercise the warrant to obtain the underlying physical share. The exception to this rule is Switzerland, where physically settled warrants are widely available.

IBKR does not however allow clients to exercise warrants, whether cash or physically settled. Exercising a warrant normally makes no economic sense and investors rarely buy a warrant with the intent of actually exercising it: upon exercise, you only realize the intrinsic value of the warrant while forgoing its time value.

**Factors that influence pricing**

Not only do changes in the price of the underlying instrument influence the value of a warrant, a number of other factors are also involved. Of particular importance to investors in this regard are changes in volatility, i.e. the degree to which the price of the underlying instrument fluctuates. In addition, changes in interest rates and the anticipated dividend payments on the underlying instrument also play a role.

However, changes in implied volatility - as well as interest rates and dividends - only affect the time value of a warrant. The primary driver - intrinsic value - is solely determined by the difference between the price of the underlying instrument and the specified exercise price.

**Historical and implied volatility**

In addressing this topic, a differentiation has to be made between historical and implied volatility. Implied volatility reflects the volatility market participants expect to see in the financial instrument in the days and months ahead. If implied volatility for the underlying instrument increases, so does the price of the warrant.

This is because the probability of profiting from a warrant during a particular time-frame increases if the price of the underlying instrument is highly volatile. The warrant is therefore more valuable.

Conversely, if implied volatility decreases, that leads to a decline in the value of warrants and hence occasionally to nasty surprises for warrant investors who aren’t familiar with the concept and influence of volatility.

**Interest rates and dividends**

Issuers hedge themselves against price changes in the warrant through purchases and sales of the underlying instrument. Due to the leverage afforded by warrants, the issuer needs considerably more capital to hedge its exposure than you require to buy the warrants. The issuer’s interest expense associated with that capital is included in the price of the warrant. The amount of embedded interest reduces over time and at expiration is zero.

In the case of puts, the situation is exactly the opposite. Here, the issuer sells the underlying instrument

short to establish the necessary hedge, and in so doing receives capital that can earn interest. Thus interest reduces the price of the warrant by an amount that decreases over time.

As the issuer owns shares as a part of its hedging operations, it is entitled to receive the related dividend

payments. That additional income reduces the price of call warrants and increases the price for puts. But if the dividend expectations change, that will have an influence on the price of the warrants. Unanticipated special dividends on the underlying instrument can lead to a price decline in the related warrants.

**Key valuation factors**

Let’s assume the following warrant:

Warrant Type: Call

Term to expiration: 2 years

Underlying : ABC Share

Share price: EUR 30.00

Strike: EUR 30.00

Exercise ratio: 0.1

Warrant’s price: EUR 0.30

**Intrinsic value**

Intrinsic value represents the amount you could receive if you exercised the warrant immediately and then bought (in the case of a call) or sold (put) the underlying instrument in the open market.

It’s very easy to calculate the intrinsic value of a warrant. In our example the intrinsic value is EUR 00.00

and is calculated as follows:

(price of underlying instrument – strike price) x exercise ratio

= (EUR 30.00 – EUR 30.00) x 0.1

= EUR 00.00

If the price of the ABC share increases by EUR 1, the intrinsic value becomes

= (EUR 31.00 – EUR 30.00) x 0.1

= EUR 00.10

The intrinsic value of a put warrant is calculated with this formula:

(strike price – price of underlying instrument) x exercise ratio

It’s important to note that the intrinsic value of a warrant can never be negative. By way of explanation:

if the price of the underlying instrument is at or below the exercise price, the intrinsic value of a call equals zero. In this instance, the price of the warrant consists only of “time value”. On the flipside, the intrinsic value of a put is equal to zero if the price of the underlying instrument is at or above the exercise price.

**Time value**

Once you’ve calculated the intrinsic value of a warrant, it’s also easy to figure out what the time value of that warrant is. You simply deduct the intrinsic value from the current market price of the warrant. In our example, the time value is equal to EUR 1.30 as you can see from the following calculation:

(warrant price – intrinsic value)

= (EUR 0.30 EUR – EUR 0.00)

= EUR 0.30

Time value gradually erodes during the term of a warrant and ultimately ends up at zero upon expiration. At that point, warrants with no intrinsic value expire worthless. Otherwise you can expect to receive payment of the intrinsic value. Take note, though: a warrant’s loss of time value accelerates during the final months of its term.

**Premium**

The premium indicates how much more expensive a purchase/sale of the underlying instrument would be via the purchase of a warrant and the immediate exercise of the option right as opposed to simply buying/selling the underlying instrument in the open market.

Hence the premium is a measure of how expensive a warrant actually is. It follows that, when given a choice between warrants with similar features, you should always buy the one with the lowest premium. By calculating the premium as an annualized percentage, warrants with different terms to expiry can be compared with each other.

The percentage premium for the call warrant in our example can be calculated as follows:

(strike price + warrant price / exercise ratio – share price) / share price * 100

= (EUR 30.00 + EUR 0.30 / 0.1 – EUR 30.00) / EUR 30.00 x 100

= 10 percent

**Leverage**

The amount of leverage is the price of the share * ratio divided by the price of the warrant. In our example 30.00*0.1/0.3 = 10. So when the price of ABC increases by 1% the value of the warrant increases by 10%.

The amount of leverage is not constant however; it varies as intrinsic and time value changes, and is particularly sensitive to changes in intrinsic value. As a rule of thumb, the higher the intrinsic value of the warrant, the lower the leverage. For example (assuming constant time value):

**Introduction**

Knock-out warrants (turbos), like vanilla warrants, derive their value from the difference between the price of the underlying and the strike. They differ significantly however from vanilla warrants in many important respects:

- They can expire (knock-out) prematurely if the price of the underlying instrument touches or falls below (in the case of knock-out calls) or exceeds (in the case of knockout puts) a predetermined barrier-level. It expires worthless if the barrier equals the strike, or it may have a residual stop-loss value if the barrier is set higher than the strike (in the case of a call).
- Changes in implied volatility have little or no impact on knock-out products, therefore their pricing is easier for investors to comprehend than that of warrants.
- They have little or no time value (because of the presence of the knock-out barrier), and therefore have a higher degree of leverage than a warrant with the same strike. This is because the absence of time value makes the instrument “cheaper”.

**Pay-out Profile**

**Leverage**

As discussed above, knock-out warrants exhibit high degrees of leverage, particularly as the price of the underlying nears the strike/barrier. Consider the following example of a long turbo on the Dow Jones Index, compared to a vanilla warrant:

Intrinsic value = (index value – strike) x ratio

Leverage = Index Value x Ratio / Instrument Price

A vanilla warrant retains significant time value even as the underlying price approaches the strike, sharply reducing its leverage compared to a knock-out warrant.

**Product types**

As discussed above, the barrier may either equal the strike, or be set above (calls) or below (puts). In the latter cases a small residual value remains after knock-out, corresponding to the difference between the barrier (the stop-loss level) and the strike.

Moreover, knock-out products may either have an expiration date or may be open-ended. This makes a difference in the way interest is accounted for. If the contract has an expiration date interest is included in the premium, the amount of which reduces over time and is zero on expiration. This is analogous to a standard vanilla warrant.

in relation to an expiration date. The price of the contract therefore corresponds exactly to its intrinsic value. Interest however must be accounted for. This is done by a daily adjustment of the barrier and strike. The following example shows the daily adjustment for a long open-end turbo on the Dow Jones Index:

The adjustment = Strike T x (1+ FedFunds/360 + Issuer Spread/360).

The intrinsic value of the instrument is correspondingly reduced as follows, assuming no change in the value of the DJ Index):

Intrinsic value = (index value – strike) x ratio

**Introduction**

Discount certificates are designed to provide an enhanced return in sideways markets, compared to a direct investment in the underlying.

Discount certificates make it possible for you to buy an underlying instrument for less than its current market price. However, the maximum payback on a discount certificate is limited to a predetermined amount (cap).

Discount certificates normally have a term to maturity of one to three years. At maturity, a determination is made of where the price of the underlying instrument stands.

If it is at or above the cap, you’ll earn the maximum return and receive payment of the amount reflected by the cap.

If the price of the underlying instrument is below the cap on the maturity date, you’ll receive either the corresponding number of shares or a cash settlement reflecting the value of the underlying instrument on the maturity date.

**Pay-out Profile**

**Example**

Assume a discount certificate on ABC share. The certificate has a cap of EUR 40.00, and a purchase price of EUR 36.00. The table below shows scenarios depending on the final price of the underlying.

**Introduction**

Factor certificates employ a daily leverage factor that multiplies the daily performance of the underlying instrument. Unlike knock-out warrants and mini-futures, factor certificates do not have a knock-out barrier. To avoid a loss greater than the investment, the calculation resets intraday if the performance of the underlying threatens to render the certificate worthless.

**Daily Leverage**

The performance of the certificate is calculated daily, without reference to previous days’ values. If the underlying returns 1% on the day, the value of 3x certificate increases by 3%, a 5x by 5%. The next day the process is repeated, referencing the prior day’s underlying close.

As such, factor certificates are particularly suitable for day-traders.

However, for a period of more than one day, the cumulative performance of the underlying cannot be simply multiplied by a factor of 3 as the previous day’s price always forms the new basis of calculating each day’s performance for the certificate. To illustrate with an example:

Cumulatively, the factor certificate has returned less than 3x the performance of the underlying.

**Intraday Reset**

If an underlying for a factor certificate loses more than a certain percentage of its value intraday, the calculation is reset by simulating a new day. The reset threshold varies depending on the leverage factor.

Let’s assume a long factor certificate with a 10x leverage factor. According to the terms of the certificate, a reset will be triggered if the underlying loses more than 9.5% during the calculation day.

Let’s now assume that the underlying loses 12% of its value during a particular day. The reset

and final performance will be as follows:

For complex, multi-leg options positions comprising two or more legs, TWS might not track all changes to this position, e.g. a vertical spread where the short leg is assigned and the user re-writes the same leg the next day, or if the user creates a the position over multiple trades, or if the order is not filled as a native combination at the exchange.

If you received a message because you are submitting an order to close a position, roll a position, or modify a position using the “% Change” feature, it means that the maximum quantity of option positions in your account that are available to close for this order is different from that of the original position tracked by TWS.

Before submitting, you should review the order and confirm that the order quantity we have calculated is the correct quantity that you want to trade.

Overview:

L'obiettivo del presente articolo è quello di fornire una comprensione adeguata delle tariffe borsistiche, delle tariffe per l'immissione e la sottrazione di liquidità e del piano delle singole commissioni.

Il concetto di immissione e sottrazione di liquidità si applica sia ai titoli azionari sia alle opzioni su azioni e indici. L'eventuale immissione o sottrazione di liquidità da parte dell'ordine dipende dal fatto che l'ordine sia o meno inviabile a mercato.

**Gli ordini inviabili a mercato SOTTRAGGONO liquidità.**

Gli ordini inviabili a mercato sono ordini a mercato, OPPURE ordini di acquisto/vendita il cui limite è equivalente al o al di sopra/sotto del prezzo di mercato corrente.

1. Nel caso degli ordini limite di acquisto inviabili a mercato, il prezzo limite è equivalente o superiore al corso lettera.

2. Nel caso degli ordini limite di vendita inviabili a mercato, il prezzo limite è equivalente o inferiore al corso denaro.

Esempio:

La/il quantità/prezzo del corso LETTERA (offerta) corrente del titolo XYZ è di 400 azioni a 46.00. Si ipotizzi di inserire un ordine limite di acquisto di 100 azioni del titolo XYZ a 46.01. L'ordine sarà considerato **inviabile a mercato**, in quanto si verificherà un'esecuzione immediata. Qualora sia previsto l'addebito di una tariffa borsistica per la sottrazione della liquidità, il cliente si vedrà addebitare tale tariffa.

1. Nel caso degli ordini limite di acquisto non inviabili a mercato, il prezzo limite è inferiore al corso lettera.

2. Nel caso degli ordini limite di vendita non inviabili a mercato, il prezzo limite è superiore al corso denaro.

Esempio:

La/il quantità/prezzo del corso LETTERA (offerta) corrente del titolo XYZ è di 400 azioni a 46.00. Si ipotizzi di inserisce un ordine limite di acquisto di 100 azioni del titolo XYZ a 45.99. L'ordine sarà considerato

Qualora qualcun altro inviasse un ordine di vendita inviabile a mercato con conseguente esecuzione del proprio ordine limite di acquisto, si dovrebbe ricevere un rimborso (credito), a condizione che siano disponibili crediti per l'immissione di liquidità.

1. Tutti i conti che effettuino transazioni su opzioni saranno soggetti all'addebito delle tariffe per la sottrazione di liquidità o all'accredito per l'immissione di liquidità eventualmente previsti dalle Borse delle opzioni.

2. Come indicato nel sito web di IB, solamente i numeri negativi del piano relativo alla sottrazione e immissione di liquidità sono rimborsi (crediti).

https://www.interactivebrokers.com/it/index.php?f=5688

Il collegamento sovrastante illustra il piano delle commissioni/tariffe per le azioni e le opzioni.

L'addebito delle commissioni sulle opzioni previsto da IB si divide in due parti:

1. La commissione di esecuzione spettante a IB. Per quanto concerne gli ordini indirizzati tramite il sistema SmartRouting, la tariffa è fissata a 0.70 dollari per contratto, ridotta ad appena 0.15 dollari per contratto in caso di ordini eccedenti i 100,000 contratti in un dato mese (si prega di consultare il sito web per conoscere i costi degli ordini indirizzati direttamente, le tariffe ridotte per le opzioni a basso premio e le tariffe minime addebitabili sugli ordini); e

2. Le tariffe esterne (borsistiche, regolamentari e/o sulle transazioni).

Nel caso delle tariffe esterne, determinate Borse delle opzioni statunitensi mantengono una struttura tariffa/rimborso rispetto alla liquidità che, una volta aggregata alla commissione di esecuzione di IB e alle eventuali altre tariffe regolamentari e/o sulle transazioni, potrebbe comportare l'addebito di una commissione complessiva per contratto variabile in funzione dell'ordine. Ciò è imputabile alla parte del calcolo della Borsa, che dipende da una serie di fattori al di fuori del controllo di IB, inclusi gli attributi d'ordine del cliente e le quotazioni denaro-lettera prevalenti, e il cui risultato potrebbe essere un pagamento in favore del cliente anziché l'addebito di una tariffa.

Le Borse valori che operano secondo questo modello di tariffa/rimborso rispetto alla liquidità prevedono l'addebito di una tariffa per gli ordini di sottrazione della liquidità (cioè, ordini inviabili a mercato) e l'erogazione di un credito per gli ordini di immissione della liquidità (cioè, ordini limite non inviabili a mercato). Le tariffe possono variare a seconda della Borsa valori, del tipo di cliente (es. pubblico, intermediario, società, market-maker, professionale, ecc.) e del sottostante dell'opzione, dove i rimborsi (crediti) per i clienti pubblici sono generalmente compresi tra 0.10 e 0.42 dollari e le tariffe addebitabili ai clienti pubblici tra 0.15 e 0.50 dollari.

IB ha l'obbligo di indirizzare gli ordini di opzioni inviabili a mercato sulla Borsa valori che offre il miglior prezzo di esecuzione. Per determinare la specifica Borsa valori sulla quale indirizzare l'ordine, nel caso in cui il mercato interno sia condiviso da più Borse valori, il sistema SmartRouting terrà in considerazione le tariffe per la sottrazione della liquidità (es. l'ordine sarà indirizzato sulla Borsa valori che offre la tariffa minore o nessuna tariffa). Di conseguenza, il sistema SmartRouting indirizzerà l'ordine a mercato sulla Borsa valori che addebita la tariffa più elevata solamente se consentirà di superare il prezzo di mercato di almeno 0.01 dollari (il che, dato il moltiplicatore standard delle opzioni di 100, mostrerebbe un miglioramento del prezzo di 1.00 dollaro, valore superiore alla tariffa più elevata per la sottrazione di liquidità).

Per maggiori informazioni in merito al concetto di immissione/sottrazione di liquidità, compresi alcuni esempi, si prega di fare riferimento all'articolo KB201.

Trading and investing in volatility-related Exchange-Traded Products (ETPs) is not appropriate for all investors and presents different risks than other types of products. Among other things, ETPs are subject to the risks you may face if investing in the components of the ETP, including the risks relating to investing in complex securities (such as futures and swaps) and risks associated with the effects of leveraged investing in geared funds. Investors should be familiar with the diverse characteristics of each ETF, ETN, future, option, swap and any other relevant security type. We have summarized several risk factors (as identified in prospectuses for ETPs and in other sources) and included links so you can conduct further research. Please keep in mind that this is not a complete list of the risks associated with these products and investors are responsible for understanding and familiarizing themselves completely before entering into risk-taking activities. By providing this information, Interactive Brokers (IB) is not offering investment or trading advice regarding ETPs to any customer. Customers (and/or their independent financial advisors) must decide for themselves whether ETPs are an appropriate investment for their portfolios.

"An investor should only consider an investment in a Fund if he or she understands the consequences of seeking exposure to VIX futures contracts. The Funds are benchmarked to the S&P VIX Short-Term Futures Index, an investable index of VIX futures contracts. The Funds are not benchmarked to the VIX Index. The VIX Index is a non-investable index that measures the implied volatility of the S&P 500. For these purposes, "implied volatility" is a measure of the expected volatility (i.e., the rate and magnitude of variations in performance) of the S&P 500 over the next 30 days. The VIX Index does not represent the actual volatility of the S&P 500. The VIX Index is calculated based on the prices of a constantly changing portfolio of S&P 500 put and call options. The Index underlying each Fund consists of short-term VIX futures contracts. As such, the performance of the Index and the Funds can be expected to be very different from the actual volatility of the S&P 500 or the performance of the VIX Index." [Page 1]

"… your ability to benefit from any rise or fall in the level of the VIX Index is limited. The Index underlying your ETNs is based upon holding a rolling long position in futures on the VIX Index. These futures will not necessarily track the performance of the VIX Index. Your ETNs may not benefit from increases in the level of the VIX Index because such increases will not necessarily cause the level of VIX Index futures to rise. Accordingly, a hypothetical investment that was linked directly to the VIX Index could generate a higher return than your ETNs." [Page PS-12]

"Historical correlation trends between the Index and other asset classes may not continue or may reverse, limiting or eliminating any potential diversification or other benefit from owning a Fund." [Page 20]

"… investments can be highly volatile and the Funds may experience large losses from buying, selling or holding such investments. ... In addition, gains, if any, may be subject to significant and unexpected reversals. The Funds generally are intended to be used only for short-term investment horizons. As with all investments, an investor in any of the Funds could potentially lose the full principal value of his/her investment, even over periods as short as one day." [Page 1]

"The ETNs are only suitable for a very short investment horizon. The relationship between the level of the VIX Index and the underlying futures on the VIX Index will begin to break down as the length of an investor’s holding period increases, even within the course of a single Index Business Day. ... The ETNs are not long term substitutes for long or short positions in the futures underlying the VIX Index. ... __The long term expected value of your ETNs is zero. If you hold your ETNs as a long term investment, it is likely that you will lose all or a substantial portion of your investment.__ " [Page PS-15]

"The Ultra Fund utilizes leverage in seeking to achieve its investment objective and will lose more money in market environments adverse to its respective daily investment objectives than funds that do not employ leverage…

For example, because the Ultra Fund includes a two times (2x) multiplier, a single-day movement in the Index approaching 50% at any point in the day could result in the total loss or almost total loss of an investor’s investment if that movement is contrary to the investment objective of the Fund, even if the Index subsequently moves in an opposite direction, eliminating all or a portion of the movement…

Inverse positions can also result in the total loss of an investor’s investment. For the Inverse Fund, a single-day or intraday increase in the level of the Fund’s benchmark approaching 100% could result in the total loss or almost total loss of an investor’s investment, even if such Fund’s benchmark subsequently moves lower. " [Page 14]

"Financial Instruments cannot always be liquidated at the desired price. It is difficult to execute a trade at a specific price when there is a relatively small volume of buy and sell orders in a market. A market disruption can also make it difficult to liquidate a position or find a swap counterparty at a reasonable cost. " [Page 17]

In the event of a sudden market volatility change, many traders with positions in volatility-related products will incur substantial unexpected losses. These losses may cause them to choose to close their positions. The losses may also result in margin deficits and subsequent liquidations of some or all positions. Such closing trades will add to the movement of these products. Since speculative interest in the VIX is at an all-time high, there may be no precedent for what will happen if volatility moves quickly.

The Commodity Futures Trading Commission's (CFTC) weekly Commitments of Traders (COT) report provides a breakdown of the net positions for "non-commercial" (speculative) traders in U.S. futures markets. As of September 2017 CFTC reported VIX speculative net short is at an all-time high.

"Despite the fact that the average daily closing value of the CBOE Volatility Index (VIX) is about 11.5 so far this year, VIX futures and options both had record days for volume and for open interest this month. … VIX futures hit a new record for open interest with more than 673,000 contracts on August 7 (2017), and VIX options reached a new record for open interest with 14,783,380 contracts open on August 15 (2017)."

*As this data is constantly changing, investors in volatility-related products should regularly check for updates.

"The Intraday Indicative Value on any Index Business Day could be reduced to 20% or less of the prior day’s Closing Indicative Value. If this occurs, we may choose to exercise our right to effect an Event Acceleration of the ETNs for an amount equal to that day’s Closing Indicative Value and you may not receive any of your initial investment." [Page PS-17]