Quanto

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A quanto is a type of derivative in which the underlying is denominated in one currency, but the instrument itself is settled in another currency at some rate. Such products are attractive for speculators and investors who wish to have exposure to a foreign asset, but without the corresponding exchange rate risk.

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Quantos are attractive because they shield the purchaser from exchange rate fluctuations. If a US investor were to invest directly in the Japanese stocks that comprise the Nikkei, he would be exposed to both fluctuations in the Nikkei index and fluctuations in the USD/JPY exchange rate. Essentially, a quanto has an embedded currency forward with a variable notional amount. It is that variable notional amount that give quantos their name—"quanto" is short for "quantity adjusting option".

Quanto options have both the strike price and underlier denominated in the foreign currency. At exercise, the value of the option is calculated as the option's intrinsic value in the foreign currency, which is then converted to the domestic currency at the fixed exchange rate.

Another type of structure is called Quanto in the weather/energy markets. In these markets, a Quanto is a weather-contingent energy (or commodity) derivative. Weather contingent means that a payoff is triggered if some weather variable (typically temperature, but also precipitation or any other weather variable) crosses (from above or from below) a specified strike value. For the structure to be called Quanto, the payoff must depend on the market price of a publicly traded commodity. A typical example of a buyer of a Quanto is a retailer in a liberalized electricity market, with a customer base to which they deliver to a fixed contracted price. The retailers do buy most of their electricity forward, but have to go and purchase from the expensive spot market whenever they need to deliver more than what they've planned to. This situation typically occurs if the weather is hotter (colder) than expected and a substantial number of households turn on the airconditioning (heating). As electricity demand rises sharply in such a situation, spot prices spike while the revenue from the sales side remains constant. Buying a quanto allows the retailer to hedge against that risk.

Common types of quanto include:

Pricing Quanto Derivatives

Pricing quanto derivatives involves modeling financial variables (stocks, interest rates etc.) in a currency which is different from their actual currency. In order to write the dynamics of the modeled financial variables under foreign currency pricing measure one has to apply Girsanov theorem leading to a drift term which depends on its volatility, the FX rate volatility (FX rate between the pricing currency and the modeled variable currency) and correlation between both. [1] This drift term leads to an adjustment in the pricing that is referred to as "quanto adjustment" and falls into the more general category of what is called in mathematical finance convexity adjustments.

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<span class="mw-page-title-main">Exchange rate</span> Rate at which one currency will be exchanged for another

In finance, an exchange rate is the rate at which one currency will be exchanged for another currency. Currencies are most commonly national currencies, but may be sub-national as in the case of Hong Kong or supra-national as in the case of the euro.

The derivatives market is the financial market for derivatives, financial instruments like futures contracts or options, which are derived from other forms of assets.

In finance, an interest rate swap (IRS) is an interest rate derivative (IRD). It involves exchange of interest rates between two parties. In particular it is a "linear" IRD and one of the most liquid, benchmark products. It has associations with forward rate agreements (FRAs), and with zero coupon swaps (ZCSs).

In finance, a forward rate agreement (FRA) is an interest rate derivative (IRD). In particular it is a linear IRD with strong associations with interest rate swaps (IRSs).

In finance, the style or family of an option is the class into which the option falls, usually defined by the dates on which the option may be exercised. The vast majority of options are either European or American (style) options. These options—as well as others where the payoff is calculated similarly—are referred to as "vanilla options". Options where the payoff is calculated differently are categorized as "exotic options". Exotic options can pose challenging problems in valuation and hedging.

<span class="mw-page-title-main">Credit default swap</span> Financial swap agreement in case of default

A credit default swap (CDS) is a financial swap agreement that the seller of the CDS will compensate the buyer in the event of a debt default or other credit event. That is, the seller of the CDS insures the buyer against some reference asset defaulting. The buyer of the CDS makes a series of payments to the seller and, in exchange, may expect to receive a payoff if the asset defaults.

A hedge is an investment position intended to offset potential losses or gains that may be incurred by a companion investment. A hedge can be constructed from many types of financial instruments, including stocks, exchange-traded funds, insurance, forward contracts, swaps, options, gambles, many types of over-the-counter and derivative products, and futures contracts.

A swaption is an option granting its owner the right but not the obligation to enter into an underlying swap. Although options can be traded on a variety of swaps, the term "swaption" typically refers to options on interest rate swaps.

In finance, a swap is an agreement between two counterparties to exchange financial instruments, cashflows, or payments for a certain time. The instruments can be almost anything but most swaps involve cash based on a notional principal amount.

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A currency future, also known as an FX future or a foreign exchange future, is a futures contract to exchange one currency for another at a specified date in the future at a price that is fixed on the purchase date; see Foreign exchange derivative. Typically, one of the currencies is the US dollar. The price of a future is then in terms of US dollars per unit of other currency. This can be different from the standard way of quoting in the spot foreign exchange markets. The trade unit of each contract is then a certain amount of other currency, for instance €125,000. Most contracts have physical delivery, so for those held at the end of the last trading day, actual payments are made in each currency. However, most contracts are closed out before that. Investors can close out the contract at any time prior to the contract's delivery date.

In finance, a foreign exchange option is a derivative financial instrument that gives the right but not the obligation to exchange money denominated in one currency into another currency at a pre-agreed exchange rate on a specified date. See Foreign exchange derivative.

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Foreign exchange risk is a financial risk that exists when a financial transaction is denominated in a currency other than the domestic currency of the company. The exchange risk arises when there is a risk of an unfavourable change in exchange rate between the domestic currency and the denominated currency before the date when the transaction is completed.

A central clearing counterparty (CCP), also referred to as a central counterparty, is a financial institution that takes on counterparty credit risk between parties to a transaction and provides clearing and settlement services for trades in foreign exchange, securities, options, and derivative contracts. CCPs are highly regulated institutions that specialize in managing counterparty credit risk.

A dual-currency note (DC) pays coupons in the investor's domestic currency with the notional in the issuer's domestic currency. A reverse dual-currency note (RDC) is a note which pays a foreign interest rate in the investor's domestic currency. A power reverse dual-currency note (PRDC) is a structured product where an investor is seeking a better return and a borrower a lower rate by taking advantage of the interest rate differential between two economies. The power component of the name denotes higher initial coupons and the fact that coupons rise as the foreign exchange rate depreciates. The power feature comes with a higher risk for the investor, which characterizes the product as leveraged carry trade. Cash flows may have a digital cap feature where the rate gets locked once it reaches a certain threshold. Other add-on features include barriers such as knockouts and cancel provision for the issuer. PRDCs are part of the wider Structured Notes Market.

In mathematical finance, convexity refers to non-linearities in a financial model. In other words, if the price of an underlying variable changes, the price of an output does not change linearly, but depends on the second derivative of the modeling function. Geometrically, the model is no longer flat but curved, and the degree of curvature is called the convexity.

In finance, a zero coupon swap (ZCS) is an interest rate derivative (IRD). In particular it is a linear IRD, that in its specification is very similar to the much more widely traded interest rate swap (IRS).

References

Pantz, Julien 2011 Quantos and FX Skew

Brigo, Damiano; Pede, Nicola; Petrelli, Andrea 2015 Multi Currency Credit Default Swaps: Quanto effects and FX devaluation jumps

Turfus, Colin 2018 Analytic Pricing of Quanto CDS

Chung, Tsz-Kin; Gregory, Jon 2018 CVA Wrong Way Risk: Calibration Using Quanto CDS Basis