Identifier: C6T2L4 | Revision: 2026-10-26 | Planned study: 10–15 minutes, excluding extended practice.

Decision and objectives

Decision: A daily multiple compounds through its own NAV; it is not an exact multiple of a multi-day benchmark return. Objectives: Calculate compounded daily targeted returns; Compare the result with a horizon multiple; Explain trend and volatile-path differences. Prerequisite: C6T2L3.

All numerical offers, rates, prices, account chains, fees and contract parameters below are hypothetical, unless a primary document is expressly identified. They are not current executable offers or evidence that a Turkey-resident investor can access them. The assumed investor is a Turkey-resident individual outside a business, with no assumed US citizenship or tax residence; actual classification must be checked. Results are before actual tax unless a fictional tax schedule is explicitly supplied. No account, deposit or trade is required.

Mechanics

A daily-target leveraged product seeks a stated multiple of each day’s benchmark return, not necessarily that multiple of the cumulative return. An inverse daily target reverses each day’s return sign. The fund rebalances exposure and compounds on its new NAV. Financing, fees, derivative execution and tracking can add further differences. A product can meet every simplified daily target and still disappoint a buy-and-hold investor who expected a multi-day multiple. This extends the domestic leverage lesson by adding the fund’s reset mechanism.

Price and return drivers

Under an idealized daily targetL, ending value =starting value × product of(1+L× daily benchmark return), before explicitly separate costs. The benchmark compounds withL 1. The sizes and composition of daily moves determine the compounded result. For a constant leverage multiple with no flows, state-dependent costs or tracking differences, reordering an identical set of daily returns leaves the terminal product unchanged because multiplication commutes. The order can still change interim NAV, exposure and survival; different return sets with the same benchmark endpoint can give different leveraged returns. In a steady favorable trend, compounding can exceed a simple cumulative multiple; in an oscillating path, losses can occur while the benchmark returns to its starting level. Avoid calling this universally decay or universally outperformance: show the actual path. Extreme daily moves can create further contractual events not modeled by a simple formula.

Worked case

Start benchmark 100 and an idealized 2× daily fund 100. Day 1 benchmark+10% to 110; day 2−9.090909% to 100. Fund day 1 rises 20% to 120; day 2 target−18.181818% leaves 98.181818. Benchmark is flat, fund loses 1.818182% before costs. An idealized−1× daily product becomes 90 after day 1 and 98.181818 after day 2, also losing 1.818182%. Deduct a hypothetical total 0.20 price-unit operating/trading drag from the 2× ending value: 97.981818, a 2.018182% loss. Actual published NAV would already reflect fund expenses; do not deduct the illustrative drag again if starting from it.

Reset implementation, separate hypothetical example: a 2× daily fund starts with NAV USD 10000, underlying exposure 20000 and fixed financing liability 10000. The reference rises 10% without fees or flows. Exposure value becomes 22000, debt remains 10000 and NAV becomes 12000. At reset the target exposure is 2 × 12000 = 24000, so the fund must buy another USD 2000 of exposure. Additional reset borrowing is permitted at par without fees; debt rises to USD 12000, exposure to 24000 and NAV remains 12000. This order restores the target; it is not an additional USD 2000 investment profit. The financing and target assumptions are explicit teaching inputs, not a live fund balance sheet.

Adverse case

Three two-day benchmark paths distinguish the mechanism. Two+10% days give benchmark 121 and 2× fund 144, exceeding 2× the 21% horizon gain. +10% then−9.090909% gives benchmark 100 andfund 98.181818. Two−10% days give benchmark 81 andfund 64, a 36% fund loss versus a 38% simple doubled benchmark loss. None establishes a guaranteed long-term relation. Before a sale, widened spreads and an underlying market halt can further change the realized return beyond these theoretical NAV paths.

Practical use

Read the precise target period, leverage, reference, derivative/funding policy, rebalance provisions and termination rules in the actual prospectus. The SEC source concerns US product risk; it does not make the product accessible or suitable for this investor. A product resetting monthly or intraday needs its own path calculation.

Before implementation verify the legal entity, jurisdiction, authorized access, actual instrument identifier and full documents. Include bid/ask, commissions, transfer/FX, custody, funding and exit costs; avoid deducting already embedded fund expenses twice. Recheck residency, income year, acquisition dates, withholding, treaty and domestic declaration treatment. Foreign tax concessions or investor protections do not follow automatically from the instrument name or trading currency.

Decision boundaries

Use only when the target horizon, monitoring, loss budget and actual terms match the intended purpose. Decline a daily inverse product proposed as an exact six-month portfolio hedge without a rebalance plan and path stress. A future or ordinary unleveraged fund can fit a different need, with its own costs and margin. Low initial investment does not reduce the potential percentage loss of the leveraged holding.

Practice and references

Exercise: benchmark+5% then−5%; start 100. Solution: Benchmark 99.75, return−0.25%. Ideal 2× fund 110 then 99, return−1%. Ideal−1× fund 95 then 99.75, return−0.25%. These results use perfect daily target achievement and zero extra costs; a quoted or executed product can differ.

Takeaway: A daily multiple compounds through its own NAV; it is not an exact multiple of a multi-day benchmark return. References: product card, formula; glossary: Daily reset; Path dependency; Inverse exposure. Next: C6T2L5. Topic test.

Sources: GIB: Investment Income Guide (retrieved 2026-10-26; Introduction and foreign income/reporting framework). SEC: Exchange Traded Funds (retrieved 2026-10-26; Structure, price and NAV). SEC: Statement on Single Stock ETFs (retrieved 2026-10-26; Daily reset and holding-horizon risk). Revision: 2026-10-26; recheck changeable rules before publication.

Shared reference guide