Commodities and commodity derivatives

Commodities and commodity derivatives

Commodities and commodity derivatives

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Learning Outcome Statement

Describe features of commodities and their investment characteristics.

On the exam: You will be given a physical commodity, futures position, or commodity-linked vehicle with return, fee, liquidity, valuation, or capital facts. You will choose the best feature, calculate or label gross versus net, or judge suitability in a short comparison.

A commodity is a physical good, not a claim on a company’s operating cash flows, so its return mainly follows volatile price movement. Direct ownership adds storage, insurance, transport, quality, and location issues. A futures contract gives price exposure without taking delivery today. A commodity-linked vehicle packages exposure, but its fees, tracking, liquidity, leverage, and counterparty terms affect your result.

FormValue driversMain friction
Physical commoditySpot price, quality, locationStorage, insurance, transport
Futures contractSpot, roll, collateralMargin, expiry, roll risk
Linked vehicleUnderlying exposure, vehicle priceFees, tracking, structure

Physical ownership gives you the commodity itself and is usually unlevered, but it leaves storage, insurance, and transport with you. Futures create price exposure without delivery, while a linked vehicle can package physical goods or futures. Compare what each structure holds and who handles its operating work before choosing an exposure.

With a futures position, separate its sources before comparing the contract with physical exposure. The spot-price change, $R_{\mathrm{spot}}$, is the movement in the commodity price. The roll yield, $R_{\mathrm{roll}}$, is the gain or loss from replacing an expiring contract. The collateral return, $R_{\mathrm{collateral}}$, comes from cash supporting the position. Their sum is the futures total return, $R_{\mathrm{futures,total}}$, before fees.

$$ R_{\mathrm{futures,total}} = R_{\mathrm{spot}} + R_{\mathrm{roll}} + R_{\mathrm{collateral}} \quad \text{(gross)} $$

A positive spot change, roll yield, or collateral return raises gross return. A negative component lowers it. Gross means fees have not been removed.

Liquidity affects how quickly you can exit and how much operating work sits behind the exposure.

ExposureLiquidityExit friction
Physical commodityLow to mediumBuyer, transport, inspection
Active futuresHigh in active contractsSpread, expiry, margin
Linked vehicleTerms dependentDepth, gates, settlement

A vehicle’s liquidity comes from its trading and redemption terms, not its label. The table shows why a commodity can be easy to trade through an active futures contract yet difficult to sell physically. The diagram places each exposure by market access and operating burden, helping you compare its exit path with the work required to maintain it.

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Liquidity tells you how readily you can exit, but it does not tell you how reliably the holding is valued. A traded futures contract has an exchange price, while a physical good depends on its quality and location. A vehicle may quote market price or NAV, and an appraisal behind that NAV can lag current conditions. Keep the exit question separate from the valuation question when comparing exposures.

HoldingValuation basisValuation risk
Physical commodityTransaction or market valueQuality, location, stale quote
Futures contractMarket value from exchange priceBasis, expiry
Linked vehicleMarket price or NAVAppraisal may be stale

Market value updates from tradable prices, while appraisal value may be stale. That distinction matters because the number used to value an asset can differ from the price available when you sell it. Once you identify the valuation basis, turn to the investor’s cost basis: storage and trading affect physical holdings, roll and financing affect futures, and vehicle fees reduce investor returns.

The investor’s result changes when costs are charged.

HoldingFee or frictionReturn label
Physical commodityStorage, insurance, tradingNet after those costs
Futures directlyTrading, financing, roll effectsGross before fees
Linked vehicleManagement, trading, performanceNet after vehicle fees

Gross return is before fees. Net return is after management, trading, storage, insurance, or performance fees. A vehicle’s quoted underlying return is not automatically the investor’s net return.

Risk review starts with the exposure and the capital base.

HoldingRisksCapital / exposure
Physical commodityPrice, storage, quality, theftInvested, usually unlevered
Futures contractPrice, roll, margin, counterpartyMargin, potentially levered
Linked vehicleTracking, liquidity, structureInvested or committed, terms vary

Invested capital is funded. Committed capital is a promise to fund. Margin does not equal invested capital. A commodity vehicle suits an investor only after comparing liquidity, tracking, leverage, operational burden, and counterparty exposure.

Worked example

You are comparing a one-year, unlevered commodity pool with physical commodity exposure for a liquid allocation. The pool charges a management fee on invested capital and a performance fee on positive profit after management. You need the gross return, net return, and net proceeds.

Returns and rates are shown as decimals.

GivenValue
Invested capitalUSD 1,000,000 invested, not committed
Commodity return0.08 gross
Collateral return0.03 gross
Management fee rate0.01
Performance fee rate0.2

The given values define the pool’s capital, return sources, and fee rates. Add commodity and collateral returns to find gross profit, then subtract management fee before calculating the performance fee on positive remaining profit. The chart shows gross profit, management fee, performance fee, and net profit in that order; negative fee bars reduce what the investor keeps.

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  1. Multiply the invested capital, $C$, by the commodity return, $R_{\mathrm{commodity}}$, because the return applies to funded capital. The commodity gain is USD 80,000.00.
  2. Multiply $C$ by the collateral return, $R_{\mathrm{collateral}}$, because collateral has its own return source. Collateral income is USD 30,000.00.
  3. Add the commodity gain and collateral income before fees. Gross profit is USD 110,000.00, which gives a gross return of 0.1100.
  4. Multiply $C$ by the management fee rate, $r_{\mathrm{management}}$, because the fee is charged on invested capital. The management fee is USD 10,000.00.
  5. Subtract the management fee from gross profit to find the performance-fee base. Profit after management is USD 100,000.00.
  6. Apply the performance fee rate, $r_{\mathrm{performance}}$, to positive profit after management. The performance fee is USD 20,000.00, and total fees are USD 30,000.00.
  7. Subtract the performance fee from profit after management. Net profit is USD 80,000.00, which gives a net return of 0.0800.
  8. Add gross profit to invested capital for gross proceeds of USD 1,110,000.00. Add net profit to invested capital for net proceeds of USD 1,080,000.00.

The pool’s gross return is 0.1100, its net return is 0.0800, and its net proceeds are USD 1,080,000.00. This is an unlevered result, so compare the vehicle’s liquid access and administration with physical exposure before deciding.

Changed condition

Use the same pool, but change only the commodity return. All other terms stay as above.

MeasureBaseChanged
Commodity return0.080.02
Gross profitUSD 110,000.00USD 50,000.00
Net return0.08000.0320

Predict the direction before recalculating. Collateral income and management fee stay fixed because capital and their rates do not change. Gross profit and performance fee fall, so net return, total fees, and net proceeds fall. Before reading on, calculate the changed net proceeds yourself.

Common error

You may treat a futures-based vehicle’s quoted commodity return as your net return because no cash fee is visible. That feels right when the quote seems to describe the whole vehicle, but the vehicle manager may still pay a fee, post collateral or margin, or incur roll costs. When the question gives one of those facts, label the return gross or net and label the exposure levered or unlevered.

Calculator

KeysDisplay
2ND CLR TVM0.00
1000000 ENTER1,000,000
0.08 ENTER0.08
0.03 ENTER0.03
0.01 ENTER0.01
0.2 ENTER0.2
1000000 × 0.08 =80,000
1000000 × 0.03 =30,000
80000 + 30000 =110,000
0 - 10000 =-10,000
110000 + -10000 =100,000.00
0 - 20000 =-20,000
100000 + -20000 =80,000
80000 ÷ 1000000 =0.0800

Go deeper

When you assess a commodity vehicle, start with what the investor can redeem and then ask what creates the exposure. You may see a market-traded price update with each trade, but the vehicle may hold assets whose value comes from an appraisal. That appraisal can lag the market, so the quoted price and the underlying exposure can move on different schedules.

Follow the cash path. A capital call is only a commitment until the investor funds it, so committed capital is not yet invested capital. A margin payment supports the investor’s futures position, but the exchange or broker holds that margin as collateral rather than as the full amount of the commodity exposure. Do not treat the commitment or margin balance as the exposure itself.

Then inspect the wrapper. An exchange-traded fund, note, or other vehicle can add tracking error, operating costs, and counterparty risk around the commodity exposure. In an edge case, a vehicle can trade at a premium or discount to its underlying value when redemption is limited, even if the underlying commodity price is unchanged. On the exam, separate the commodity price movement from the vehicle’s redemption terms, valuation method, and cash obligations.

Check yourself

Practice

Calculate the gross return for a one-year, unlevered commodity pool with a commodity return of 0.08 and a collateral return of 0.03. What is the gross return before fees?

Revision snapshot

Futures total return equals spot-price change plus roll yield plus collateral return, gross.

$$ R_{\mathrm{futures,total}} = R_{\mathrm{spot}} + R_{\mathrm{roll}} + R_{\mathrm{collateral}} \quad \text{(gross)} $$

Gross return is before fees. Net return is after management, trading, storage, insurance, or performance fees. Invested capital is funded. Committed capital is a promise to fund. Margin does not equal invested capital. Market value updates from tradable prices. Appraisal value may be stale. The trap is treating a quoted commodity return as investor net return. Label gross or net and levered or unlevered, then compare liquidity, tracking, leverage, operational burden, and counterparty exposure before judging a vehicle.

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Practice Questions: Commodities and commodity derivatives

  1. 1. Northbridge Growth Fund is a closed-end private equity fund organized as a limited partnership. Its limited partners committed USD 120 million at inception, and the general partner is responsible for selecting investments and managing portfolio companies. Limited partners do not participate in day-to-day management and, provided they comply with the partnership agreement, their economic exposure is generally limited to their invested capital and remaining commitments. The fund has a 10-year contractual life and a five-year investment period. During the investment period, the annual management fee equals 2% of committed capital. After the investment period, the fee base changes to invested capital at cost, excluding investments that have been fully realized or permanently written off. Management fees are paid separately by the limited partners and are included in their total contributions. At the end of Year 4, cumulative capital contributions, including fees, are USD 90 million. The fund has made cumulative distributions of USD 30 million and reports a residual net asset value of USD 105 million. No additional capital is contributed or distributed on the Year 4 measurement date. A junior analyst calculates the fund's performance using committed capital as the denominator because the limited partners remain legally obligated to provide the uncalled amount. The partnership uses a European, or whole-of-fund, waterfall. Before the general partner may receive carried interest, the limited partners must first receive cumulative proceeds equal to all contributed capital and then a non-compounded preferred return. At a future liquidation date, Northbridge is projected to have received USD 120 million of cumulative proceeds. For purposes of analyzing the waterfall at that date, contributed capital will remain USD 90 million and the accumulated preferred return will equal USD 9 million. The case information does not require consideration of a general partner catch-up provision. Northbridge reported a negative net return in Year 1 even though none of its portfolio companies had been permanently impaired. The early portfolio consisted primarily of recently acquired companies undergoing operational changes, and no investment had yet been exited. Performance stabilized in Year 2, and the fund began making distributions in Year 3. The investment committee asks whether the initial negative return is consistent with the typical timing pattern of private equity fund cash flows.

    • 2. Meridian Property Advisors is assessing direct real estate, a publicly traded real estate investment trust, and a regulated infrastructure asset for a pension plan. The plan has a long investment horizon but requires transparent valuation analyses that distinguish property-level operating performance from financing effects. The first opportunity is Harbor Point, an office property expected to be held for one year. Exhibit 1 presents current NOI and acquisition information as well as independently prepared year-end assumptions. NOI is measured before financing costs, depreciation, and income taxes. Meridian will estimate current value using direct capitalization. For the levered return calculation, the property is purchased at the stated acquisition price, the indicated debt remains outstanding for the full year, and principal is repaid from sale proceeds. There are no acquisition costs, principal amortization, taxes, or interim capital expenditures. The investor receives the full year's forecast NOI immediately before the property is sold at year-end. The second opportunity is Metro REIT, a publicly traded company that owns stabilized commercial properties. The analyst uses a property-based NAV approach rather than book value because the investment properties have reliable fair values. Cash and other assets are added to property value, while interest-bearing debt and other liabilities are deducted. No preferred shares, non-controlling interests, or off-balance-sheet liabilities exist. Exhibit 2 provides all information needed to calculate NAV per common share. Meridian recognizes that Metro REIT shares offer exchange liquidity but can exhibit short-term equity-market volatility and trade at premiums or discounts to NAV. The third opportunity is a privately held regulated electricity-transmission network operating under a 30-year concession. User demand is relatively stable, and allowed tariffs are periodically reset by a government regulator. The asset requires substantial initial capital, has limited alternative uses, and cannot be sold quickly without an extended transaction process and regulatory approval. Its revenues may provide some inflation sensitivity because tariff formulas partially reflect changes in operating costs. Nevertheless, changes in allowed returns, concession terms, or government policy can materially affect investor cash flows. The investment committee asks the analyst to apply the appropriate valuation or structural framework to each opportunity without assuming that stable operating cash flows eliminate leverage, liquidity, market-price, or regulatory risks.

      • 3. Summit University Endowment is reviewing several additions to its alternatives portfolio. The endowment seeks return sources that are differentiated from long-only public equity exposure, but its investment committee requires the staff to identify each proposal's actual economic exposures and operational risks. The committee also requires performance evidence to be adjusted conceptually for database construction practices before it compares managers. The first proposal, Alpha, holds convertible bonds and shorts shares issued by the same companies. The manager dynamically adjusts the short positions as the convertibles' equity sensitivity changes. Although the portfolio may retain credit, liquidity, volatility, and model risk, its objective is to profit from relative mispricing between the convertible securities and the associated shares rather than from the general direction of the equity market. Beta is managed by a discretionary team that forms views about inflation, monetary policy, economic growth, and political developments. It expresses these views through directional positions in sovereign rates, currencies, equity indexes, and commodities. The strategy may use derivatives and leverage, and its exposures may change substantially when the manager's macroeconomic expectations change. Gamma trades liquid futures using systematic time-series momentum signals. The model generally establishes long positions in markets with positive trends and short positions in markets with negative trends. The investment staff notes that this approach may diversify a traditional portfolio during persistent market moves but may incur repeated losses when trends reverse rapidly and trading signals adjust only after the reversal. Summit is also considering a small direct holding of digital tokens. The tokens would not represent shares in an operating company and would not be held through an exchange-traded product. Instead, the endowment would control the assets through cryptographic private keys stored in offline wallets. The operational review therefore focuses on secure key generation, access controls, backups, and procedures following the departure or incapacity of authorised personnel. Finally, staff members review a commercial hedge fund database. They discover the reporting practices described in Exhibit 2. The committee asks whether the database return history is likely to be representative of the full opportunity set, including unsuccessful and liquidated funds.

        • 4. A private debt fund charges a 1.5% annual management fee on USD 200 million of committed capital during its investment period. The annual fee is closest to:

          • A. USD 2.4 million
          • B. USD 3.0 million
          • C. USD 3.6 million
          Show answer

          Answer: B. USD 3.0 million

          USD 3.0 million - During the investment period, the fee base is USD 200 million of committed capital. - The annual fee is 1.5% × USD 200 million = USD 3.0 million. USD 2.4 million - This results from applying 1.5% to an assumed USD 160 million balance: 1.5% × USD 160 million = USD 2.4 million. - The question specifies committed capital, not a USD 160 million balance, as the fee base. USD 3.6 million - This results from using 1.8% instead of 1.5%: 1.8% × USD 200 million = USD 3.6 million. - The stated annual management fee rate is 1.5%.

        • 5. Farmland generates annual cash income of 4.0%, appreciates 6.0%, and incurs operating and management costs of 1.5% of beginning value. Its net total return is closest to:

          • A. 7.0%
          • B. 4.5%
          • C. 8.5%
          Show answer

          Answer: C. 8.5%

          8.5% - Farmland’s gross total return is 10.0%: 4.0% cash income plus 6.0% appreciation. - Subtracting operating and management costs of 1.5% of beginning value gives a net total return of 8.5%. 7.0% - This result subtracts the 1.5% cost twice: 4.0% + 6.0% − 1.5% − 1.5% = 7.0%. - Operating and management costs are incurred once, so only one 1.5% deduction belongs in the return calculation. 4.5% - This result omits cash income, calculating only 6.0% appreciation − 1.5% costs = 4.5%. - The farmland also generates 4.0% annual cash income, which must be included in net total return.

        • 6. An adviser replaces a directly owned office property with shares of a publicly traded equity REIT. The new investment will most likely have:

          • A. Lower liquidity and lower equity-market sensitivity
          • B. Similar liquidity and identical appraisal smoothing
          • C. Higher liquidity and greater equity-market sensitivity
          Show answer

          Answer: C. Higher liquidity and greater equity-market sensitivity

          Higher liquidity and greater equity-market sensitivity - Publicly traded equity REIT shares can generally be sold more readily than a directly owned office property, giving the adviser higher liquidity. - Because their prices trade in the stock market, REIT shares tend to show greater equity-market sensitivity than direct property. Lower liquidity and lower equity-market sensitivity - Lower liquidity describes the directly owned office property, which takes longer to sell than exchange-traded REIT shares. - Lower observed equity-market sensitivity is more characteristic of direct property returns than of publicly traded REIT shares. Similar liquidity and identical appraisal smoothing - A directly owned office property and publicly traded REIT shares do not have similar liquidity because only the shares trade on an exchange. - REIT share prices reflect market trading rather than property appraisals, so their returns do not have identical appraisal smoothing.

        • 7. A timber manager delays harvesting when lumber prices are temporarily weak. This decision is most consistent with which investment characteristic?

          • A. Biological growth permits some harvesting flexibility
          • B. Reported values are continuously determined by exchange trading
          • C. Annual returns arise primarily from contractual coupon payments
          Show answer

          Answer: A. Biological growth permits some harvesting flexibility

          Biological growth permits some harvesting flexibility - Standing timber can continue biological growth while the manager waits for weak lumber prices to improve. - This gives the manager some harvest timing flexibility, rather than requiring a sale at the current price. Reported values are continuously determined by exchange trading - Direct timber investments are generally illiquid and commonly valued through appraisals, not continuous exchange trading. - The manager’s decision concerns when to harvest standing timber, not how its value is reported. Annual returns arise primarily from contractual coupon payments - Timber does not make contractual coupon payments like a bond. - Its returns reflect biological growth, land appreciation, and changes in timber prices, so delaying harvest can affect the sale price.

        Flashcards: Commodities and commodity derivatives

        1. 1. In Alternative Investments (Natural Resources), what is the formula that links commodity futures prices to spot prices?

          Show answer

          \[\text{Futures Price} \approx \text{Spot Price} \times (1 + Rf) + \text{Storage Costs} - \text{Convenience Yield}\]

        2. 2. What are commodity indexes typically based on instead of the actual physical commodities?

          Show answer

          Commodity futures contracts.

        3. 3. In Alternative Investments (Natural Resources), what distinguishes the income generation of farmland and timberland from raw land?

          Show answer

          Farmland and timberland generate income from their output (harvesting crops or trees), whereas raw land only generates income from price appreciation or leases.

        4. 4. In Alternative Investments (Natural Resources), what defines a commodity market in "backwardation"?

          Show answer

          When the convenience yield is high enough to offset storage costs, making the futures price lower than the spot price.

        5. 5. In Alternative Investments (Natural Resources), what is "convenience yield" in commodities?

          Show answer

          The nonmonetary value or benefit of having physical possession of a commodity for use over the period of a futures contract.

        6. 6. In Alternative Investments (Natural Resources), how do commodity prices generally correlate with inflation?

          Show answer

          Commodity prices tend to be positively correlated with inflation, allowing them to act as an inflation hedge.

        7. 7. In Alternative Investments (Natural Resources), what defines a commodity market in "contango"?

          Show answer

          When there is little or no convenience yield, making the futures price higher than the spot price.

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