Importers and exporters considering an FX hedge may need to read a currency option with a knock-out against a bank's proposal and the terms of the contract. Investors who enter into a TARF or a power reverse dual note may need to read the shape of the profit or loss against the terms of the contract.

Five types of FX exotics

FX exotics fall into the following five types, by how they work and who uses them. Those that add conditions to a currency option, combine several options, or string together a series of FX forwards are traded as OTC derivatives, and those built into a bond are sold to investors as structured notes.

Type How it works Main users
Currency option with a knock-out The right disappears if the exchange rate touches a set level Importers and exporters hedging
Digitals and one-touches A fixed amount is received depending on whether the exchange rate ends above a level, or touches it during the term Trading on a market view
Zero-cost option Buys and sells options in combination so that no premium changes hands Trading on a market view
TARF (target redemption forward) Strings together several forwards and ends when the accumulated gain reaches a target Investors
Power reverse dual note A bond whose interest changes with the exchange rate Investors

Currency options with a barrier or a digital feature

A currency option with a knock-out is a currency option whose right disappears if the exchange rate ever reaches a set level (the knock-out level), and it is a type of barrier option1. Because the right can disappear, the premium is lower and the option is cheaper to buy2. The naming of currency options and the way premiums are quoted are covered in FX Options. Consider a hypothetical example in which the strike price is 94 yen and the knock-out level is 97 yen. An exporter buys the right to sell dollars (a USD put / JPY call). If the exchange rate reaches 97 yen before expiry, the right disappears, but at that point the exporter can sell dollars in the market at 97 yen. If the rate never reaches 97 yen and is below 94 yen at expiry, the exporter exercises the right and sells dollars at 94 yen2.

The types of barrier, how the barrier is monitored, and why the seller finds it hard to hedge are covered in Barrier Options.

A digital option pays a fixed amount depending only on whether the exchange rate at expiry is above or below a set level. In FX there is also the one-touch, which pays a fixed amount if the exchange rate touches the level even once during the term3. With a one-touch, the payment is fixed the moment the rate first touches the level, and later moves do not increase it4.

Zero-cost options

A zero-cost option combines several options so that the premium received on the options sold offsets the premium paid on the options bought, and no premium changes hands. The options combined may differ in notional amount, strike price, term, and whether they are calls or puts, and they are traded over the counter5.

To trade on a view that the dollar will rise (the yen will weaken), you buy a USD call option and sell a USD put option. If the two premiums are equal, you are protected against a rise without paying any premium6. Consider a hypothetical example in which both have a strike of 140 yen per dollar and an amount of USD 100,000. If the exchange rate at expiry is 150 yen, you exercise the call and buy dollars at 140 yen, which is (150 − 140) × USD 100,000 = 1 million yen better than buying at the spot rate. If the rate at expiry is 130 yen, the put you sold is exercised and you have to buy dollars at 140 yen, a loss of 1 million yen. The loss grows as the yen strengthens and keeps growing for as long as the rate keeps falling6.

−30−20−100+10+20+30140Profit/loss (yen)USD/JPY at expiry (yen)ProfitLossBreakeven 140
Figure 1Profit or loss at expiry of a zero-cost option (a bought call and a sold put)
Figure description

This shows the profit or loss at expiry, per dollar, of a bought USD call and a sold USD put with the same strike of 140 yen. It is drawn on the assumption that no premium is paid or received. At an exchange rate of 140 yen at expiry the profit or loss is 0. If the yen is weaker than 140, the profit rises by 1 yen for each 1 yen the rate rises. If the yen is stronger than 140, the loss grows by 1 yen for each 1 yen the rate falls. For example, at 150 yen the profit is 10 yen and at 130 yen the loss is 10 yen, which for USD 100,000 matches the gain and loss of 1 million yen in the text. Neither the weaker-yen side nor the stronger-yen side shows a ceiling or floor on the profit or loss.

If a company that buys dollars to pay for imports holds this combination for the same amount as its import payment, its effective price for the dollars it needs, taking the options and the spot purchase together, is fixed at 140 yen whether the yen weakens or strengthens. When the yen weakens, it buys dollars more cheaply than at the spot rate. When the yen strengthens, it gives up the saving it would have made by buying at the spot rate. If it has sold puts for more than its payment, the loss on the excess grows as the yen strengthens.

TARFs, which end when the accumulated gain reaches a target

A TARF strings together several forwards to buy or sell a currency at a set rate on set dates, and all remaining forwards disappear once the accumulated gain reaches a target set in advance7. Because each payment depends not only on that day's exchange rate but also on the gain accumulated so far, the outcome depends on the path the exchange rate takes, as with a path-dependent option8. In many TARFs, the amount exchanged when the rate is on the unfavorable side is set at one or two times the amount on the favorable side7.

Consider a hypothetical example in which Company Q, which pays USD 100,000 for imports every month, enters into a TARF with Bank R. There are four monthly observations, and the strike is 140 yen per dollar. If the spot exchange rate on an observation date is above 140 yen (a weaker yen), Company Q buys USD 100,000 at 140 yen. If it is below 140 yen (a stronger yen), Company Q buys USD 200,000 at 140 yen. Company Q's accumulated gain is the sum, per dollar, of "spot rate − 140 yen" on the dates when the yen is weaker, and the transaction ends when it reaches 10 yen.

NoYesHas the accumulatedgain reached the10-yen target?Ends; theremainingforwardsvanishYesNoOn the observationdate, is the yenweaker than 140per dollar?Buy 200,000dollars at 140(gain doesnot increase)Buy 100,000dollars at 140 andadd the differenceto the gain
Figure 2Judgment at each observation of the example TARF
Figure description

This shows, through two questions in order, how Company Q's exchange is decided on each observation date of the example TARF. It first checks whether the accumulated gain has reached the 10-yen target. If it has, the transaction ends and the remaining forwards vanish. If not, the flow goes on to check whether the yen is weaker than 140 per dollar on the observation date. If the answer is "No" (the yen is stronger than 140), Company Q buys USD 200,000 at 140 yen and the accumulated gain does not increase. If the answer is "Yes" (the yen is weaker), it buys USD 100,000 at 140 yen and adds the difference between the spot rate and 140 yen (per dollar) to the accumulated gain. The figure shows an asymmetry: on the weaker-yen side the transaction ends at the target, while on the stronger-yen side it continues and the amount exchanged doubles.

If the yen weakens, Company Q reaches the target on the second observation and the transaction ends. Compared with buying at the spot rate, it is better off by (144 − 140) × USD 100,000 = 400,000 yen on the first observation and by 600,000 yen on the second.

Observation Spot rate (yen) Dollars Company Q buys at 140 yen (thousand dollars) Difference from buying at the spot rate (thousand yen) Accumulated gain (yen)
1 144 100 400 4
2 146 100 600 10
3 150 0 0 Ended
4 152 0 0 Ended

Once the target is reached, the third and fourth forwards disappear. Company Q has to buy the dollars for its third and fourth payments at the spot rates of 150 yen and 152 yen. The further the yen weakens, the sooner Company Q loses the observations on which it can buy the dollars for its payments at the set rate.

If the yen strengthens, the accumulated gain stays at 0 and the transaction continues for all four observations. Company Q buys USD 200,000 at 140 yen each time, and compared with buying at the spot rate, the difference on the first observation is (136 − 140) × USD 200,000 = −800,000 yen.

Observation Spot rate (yen) Dollars Company Q buys at 140 yen (thousand dollars) Difference from buying at the spot rate (thousand yen) Accumulated gain (yen)
1 136 200 −800 0
2 132 200 −1,600 0
3 130 200 −2,000 0
4 134 200 −1,200 0

The four differences add up to −5.6 million yen, and Company Q buys USD 800,000, twice the USD 400,000 it needs for its payments. In this example, the gain on the weak-yen side stops when the accumulated gain reaches the 10-yen target, while the loss on the strong-yen side keeps growing as the yen strengthens and has no ceiling. In Hong Kong, a regulatory review examined FX TARFs sold to investors whose gain was capped at the target while the loss had no ceiling, and whose feature changing the amount exchanged (leverage) could make the loss larger9.

Power reverse dual notes for investors

A power reverse dual (PRD) note repays its principal in yen and pays interest that changes with the exchange rate on each interest payment date. The interest is higher when the yen is weaker and lower when it is stronger, with a condition that it does not fall below 0%. The issuer has the right to redeem the note early on each interest payment date, and the investor receives the price of selling this right as extra yield11.

Problems with FX derivatives for SMEs

In the FX derivatives that banks sold to small and medium-sized enterprises, the companies' losses grew as the yen strengthened. The Financial Services Agency surveyed 121 banks about FX derivatives (US dollar/yen) sold to small and medium-sized enterprises from fiscal 2004 onward, and published preliminary results in March 2011. About 12,000 contracts were sold in each fiscal year from 2004 to 2007, and about 19,000 companies held contracts at the end of September 2010. The typical contract for an importer produced a gain when the yen weakened and a loss when it strengthened. For the contracts that major banks and others were able to total, the cumulative result was a loss of about 140 billion yen (about 6 million yen per contract). From January 2010 onward, banks received 548 complaints from about 300 companies12.

Disputes with a bank can be taken to the financial ADR bodies (bodies that resolve disputes outside court) run by the Japanese Bankers Association and others, where neutral experts such as lawyers handle the resolution process13.

Notes

  1. Bank of Japan Financial Markets Department, "通貨オプション取引の増加と市場取引への影響" (The increase in currency option trading and its effect on market transactions) (Bank of Japan Review, November 2007, in Japanese), page 6 (the source gives "バリア・ポイント" (barrier point) alongside the knock-out rate at which a knock-out option expires). ↩

  2. Financial Futures Association of Japan, "金融先物取引の知識" (Knowledge of financial futures trading, in Japanese), April 2015, page 118, Part 2 "金融オプション取引" (Financial option trading), "e.ノックアウト・オプション" (e. Knock-out options). The strike of 94 yen and the knock-out level of 97 yen in the example are the same values as in the source's example. ↩ ↩2

  3. Financial Futures Association of Japan, "金融先物取引の知識" (in Japanese), page 116, conditions ① (whether the price is above or below a target price at a set time) and ② (whether the price goes above or below a target price even once within a set period) in "c.バイナリーオプション" (c. Binary options). ↩

  4. "American Options" (Lecture 8), lecture notes, Courant Institute of Mathematical Sciences, New York University, Section 1.9.1 "One-touch options" (page 22). ↩

  5. Financial Futures Association of Japan, "金融先物取引の知識" (in Japanese), page 117, "d.ゼロコスト・オプション" (d. Zero-cost options), and page 88, which says that "over the counter, zero-cost options, which involve no exchange of option premium, are also traded by combining sales and purchases of several options" (our translation). ↩

  6. Central Council for Financial Services Information, "3-5 オプション取引活用の例(やさしいデリバティブ)" (Examples of using option trading, Easy Derivatives, in Japanese), "値上がり予想のとき" (When you expect a price rise). The source calls a combination that holds a bought call and a sold put at the same time a "zero-cost option" and says that the loss when the price falls "grows without limit" (our translation). ↩ ↩2

  7. Shouvanik Chakrabarti et al., "A Threshold for Quantum Advantage in Derivative Pricing" (Quantum, 2021), Appendix A.5 "Target Accrual Redemption Forwards" (page 25). The constant α applied to payments on the unfavorable side is described as "often one or two." ↩ ↩2

  8. Xiaolin Luo and Pavel V. Shevchenko, "Pricing TARN Using a Finite Difference Method" (2013), Section 1 (page 2). ↩ ↩2 ↩3

  9. Securities and Futures Commission, "Findings of concurrent SFC-HKMA thematic review of the distribution of non-exchange traded investment products" (April 18, 2024), Annex 1, item (ii) and note 3 on page 4. ↩

  10. Xiaolin Luo and Pavel V. Shevchenko, "Pricing TARN Using a Finite Difference Method," Section 2 (pages 3–4). The source calls the three types "full gain," "no gain," and "part gain." ↩

  11. Center for Advanced Financial Technology, Financial System and Bank Examination Department, Bank of Japan, "仕組商品投資のリスク把握と管理" (Understanding and managing the risks of investing in structured products, in Japanese) (2019), page 4, "(1)PRD(power reverse dual)債" ((1) PRD (power reverse dual) notes), and "基本的な仕組み" (Basic structure) on page 5. ↩

  12. Financial Services Agency, "中小企業向け為替デリバティブ取引状況(米ドル/円)に関する調査の結果について(速報値)" (Results of the survey on FX derivative transactions (US dollar/yen) with small and medium-sized enterprises (preliminary figures), in Japanese) (March 11, 2011), items 1 to 3. The profit or loss is the cumulative result for the contracts of major banks and others that could be totaled, and the per-contract figure is per the number of contracts the source gives (about 25,000). ↩

  13. Financial Services Agency, "デリバティブ商品を契約するときのポイント" (Points to check when entering into a derivative product, in Japanese), back page, "金融分野における裁判外紛争解決制度(金融ADR制度)について" (On the alternative dispute resolution system in the financial sector (financial ADR system)). ↩

  14. Financial Futures Association of Japan, "金融先物取引の知識" (in Japanese), page 256, the term "不招請勧誘" (unsolicited solicitation). ↩

  15. Financial Services Agency, "中小・地域金融機関向けの総合的な監督指針" (Comprehensive Guidelines for Supervision of Small and Medium-Sized and Regional Financial Institutions) (in Japanese), October 2026, II-3-2-1-2(2)①イ, item f and its note (page 87). The exception is based on Article 116, item 2 of the "金融商品取引業等に関する内閣府令" (Cabinet Office Order on Financial Instruments Business, etc., in Japanese). ↩