Natural resource risk, return and diversification

Learning Outcome Statement

Analyze sources of risk, return, and diversification among natural resource investments.

On the exam: A vignette gives the natural-resource vehicle, return or risk facts, valuation basis, liquidity, and any fee or market-price data. You analyze risk, return, or diversification in a comparison table, calculation, or ordered decision.

Start with the cash engine. For direct land, timberland, and farmland, operating or production income sits alongside a change in transaction or appraisal value. Commodity-futures return sources are spot-price change, roll yield, and collateral yield, so separate each source before judging risk or diversification. Diversification depends on correlation with the existing portfolio, not on the natural-resource label.

An operating or production payment is cash received by the owner. A transaction or market value change is realized on sale, while an appraisal change may only be a reported estimate. Inflation sensitivity can support some revenues or commodity prices, but it does not remove weather, price, liquidity, valuation, or correlation risk.

🔒Direct assets and a commodity futures fund feed portfolio analysis

The spot return compares the ending spot price, $S_2$, with the initial spot price, $S_1$. The roll return compares the expiring futures price, $F_1$, with the replacement futures price, $F_2$. Collateral income, $CI$, is earned on invested capital, $B$. Use the arithmetic convention for this illustration and add the components without compounding their interactions.

The gross return before fees combines the three sources. The net return subtracts the fee rate, $f$, charged on beginning invested capital. The gross gain, $G_{\mathrm{gross}}$, and net gain, $G_{\mathrm{net}}$, convert the rates into currency.

$$ \begin{aligned} R_{\mathrm{gross}}&=\frac{S_2-S_1}{S_1}+\frac{F_1-F_2}{F_1}+\frac{CI}{B}\ R_{\mathrm{net}}&=R_{\mathrm{gross}}-f\ G_{\mathrm{gross}}&=B\times R_{\mathrm{gross}}\ G_{\mathrm{net}}&=G_{\mathrm{gross}}-B\times f \end{aligned} $$

When $S_2$ rises, the spot term raises the long investor's result. When $F_2$ is below $F_1$, the long replaces the expiring contract at a lower price, so the roll term is positive. Collateral income raises return, while the fee pulls net return down. The calculation is unlevered and uses invested capital, not a commitment. Gross return precedes fees, net return deducts fees, and a levered return includes financing.

Worked example

You are handed a one-year commodity-futures fund position. The fund is long from your perspective, earns collateral income, and charges a management fee on beginning invested capital. You need the gross return, fee, net gain, and net return.

Read the timeline as a sequence of measurement decisions. At the start, identify the funded capital that earns the return. During the holding period, track both spot prices and futures prices, since they enter different terms. At the roll, compare the expiring contract with its replacement; at the end, add collateral income and distinguish the fund's gross result from the investor's fee-adjusted result. This order keeps each input tied to its role.

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1. Compute the spot return because the long benefits from a higher spot price. The result is $\frac{108-100}{100}=0.0800$.
2. Compute the roll return because the replacement price determines the gain from rolling. The result is $\frac{101-99}{101}=0.0198$.
3. Compute collateral yield because collateral income adds to the fund result. The result is $\frac{3}{100}=0.0300$.
4. Add the components arithmetically, retaining the unrounded fractions. The gross return is $0.129802$.
5. Multiply invested capital by gross return to express the vehicle result in USD. The gross gain is $100\times0.129802=12.98$.
6. Charge the management fee on beginning invested capital, not on a commitment. The fee is $100\times0.01=1.00$.
7. Subtract the fee from gross gain because net gain is after fees. Net gain is $11.98$.
8. Divide net gain by invested capital to return to the same capital base. Net return is $0.119802$.

Report gross return $0.129802$ before fees and net return $0.119802$ after fees, then compare this market-valued, unlevered result with existing-portfolio correlation before deciding.

Changed condition

Keep every input the same except the ending spot price.

Before looking at the calculation, predict a lower gross result because the long now faces a lower ending spot price. The unchanged roll and collateral contributions cushion the spot loss, while the fee keeps net return below gross. Before reading on, calculate the price-shock spot return from the two spot prices.

Common error

You may report the commodity vehicle's gross return as your net return because the spot, roll, and collateral components appear to capture everything the vehicle earns. The shortcut feels right because those components describe the fund's economic result before the investor pays the manager's fee. When the question gives you a stated management fee, separate gross from net and deduct the fee from invested capital.

Calculator

Key the base case inputs before calculating net return.

Now change only the ending spot-price register and leave the other stored inputs untouched. The long position loses value when the ending spot price falls from USD 100 to USD 95, while the roll and collateral terms remain as before. Recalculating the same net-return expression makes the effect of that single changed input easy to isolate and compare with the base case.

Go deeper

Start with the value label before interpreting a return. The core distinction is whether the number is a tradable price, an estimate, or the price from a completed sale. Market value is the current price at which the position can be traded. Appraisal value is an estimate that may lag the market, while transaction value is the price an actual sale produces.

Use this distinction when reading a return. A return based on an appraisal value can look smooth because the estimate changes slowly, but smoothness does not prove low risk or diversification. Compare the investment's correlation with the existing portfolio. Inflation sensitivity may help in one environment, but it does not remove operating, price, liquidity, weather, or valuation risk.

Check yourself

Revision snapshot

Keep the three futures components separate and add them arithmetically for this illustration.

$$ R_{\mathrm{gross}}=\frac{S_2-S_1}{S_1}+\frac{F_1-F_2}{F_1}+\frac{CI}{B} $$

Direct land, timberland, and farmland returns combine operating or production income with changes in transaction or appraisal value.

The trap is reporting gross vehicle return as investor net return. A stated fee means deduct it from invested capital. On the exam, label the vehicle, valuation basis, liquidity, return measure, and correlation before choosing the comparison or calculation.