Terra insight · Thought piece

Residual Land Valuation: The Double-Counting Trap

Finance, Developer Return and the Treatment of Selling Costs

A Terra thought piece

1. Introduction

Residual land valuation is widely used to assess the value of land with development potential. At its simplest, the method deducts the costs and required return associated with delivering a development from the anticipated value of the completed scheme.

In broad terms:

Residual Land Value = Development Value − Development Costs − Finance − Developer’s Return

Although the equation appears straightforward, the treatment of finance and developer’s return requires care. A common methodological problem arises where an appraisal:

• applies a blended cost of debt and equity, or weighted average cost of capital (“WACC”), to the development expenditure; and
• also deducts a separate developer’s profit or return.

Where the finance rate already includes the required return on equity, the separate profit allowance can duplicate that equity return and therefore depress the residual land value.

A related issue arises with selling costs. Sales agents’ fees, sales legal costs and disposal costs are genuine project costs and must not be omitted. However, their classification, timing and inclusion within the profit-bearing cost base can materially affect the resulting land value.

This note considers both issues and sets out conceptually consistent approaches.

2. The Conventional Residual Method

Under a traditional residual valuation, the valuer typically estimates:

• the gross development value or completed development value;
• construction and other development costs;
• finance costs;
• selling and disposal costs;
• the developer’s required profit or return; and
• the residual amount available for the land.

A simplified formulation is:

Residual Land Value = GDV − Development Costs − Finance Costs − Selling Costs − Developer’s Profit

In conventional practice, finance is often calculated on the assumption that 100% of the development expenditure is borrowed, even though a real developer would normally use a mixture of debt and equity.

This can be an acceptable valuation convention provided that:

• the finance rate is recognisably a debt or borrowing rate;
• the assumed financing period reasonably approximates the timing of the development;
• the separate profit allowance represents the developer’s reward for risk and use of equity; and
• the assumptions are calibrated consistently with market evidence.

The difficulty arises when the rate applied to the development expenditure is described or constructed as a WACC, because WACC already incorporates both the cost of debt and the required return on equity.

3. Finance Cost, Discount Rate and Developer’s Return

These concepts are related but are not interchangeable.

3.1 Debt finance cost

Debt finance cost is the actual or assumed cost of borrowed money. It may include:

• interest;
• arrangement fees;
• commitment fees;
• non-utilisation fees;
• exit fees; and
• other lender charges.

In a cash-flow model, debt interest should ordinarily be calculated on the amount actually drawn and for the period during which it remains outstanding.

3.2 Developer’s profit

Developer’s profit is the developer’s reward for:

• committing equity;
• assuming development, construction, letting and sales risk;
• providing management expertise;
• accepting uncertainty over values, costs and timing; and
• foregoing alternative investment opportunities.

In a traditional residual valuation, developer’s profit is commonly expressed as:

• profit on cost;
• profit on gross development value;
• profit on net development value; or
• a fixed monetary amount.

These are cash-margin measures. They do not directly reflect the timing of expenditure and receipts.

3.3 Discount rate or WACC

A discount rate represents the required rate of return appropriate to the timing and risk of the project cash flows.

A project WACC normally reflects the weighted required returns of the providers of both debt and equity capital. In a conventional corporate finance formulation:

WACC = Debt Weight × Cost of Debt + Equity Weight × Cost of Equity

This simplified formulation ignores taxation and certain other adjustments, but it illustrates the central point: the equity return is already contained within the WACC.

In a discounted cash-flow appraisal, WACC is generally used to discount unleveraged project cash flows. It is not normally inserted into those same cash flows as though it were an interest expense payable to a third-party lender.

4. The Double-Counting Problem

The double-counting problem arises where an appraisal applies:

• a financing or compounding rate that already contains the required equity return; and
• a separate developer’s profit intended to remunerate that same equity and risk.

The appraisal is then allowing for the equity return twice:

• once within the blended cost of capital; and
• again through the developer’s profit deduction.

Simplified illustration

Assume:

• Gross development value: £15.00 million
• Development costs before finance, profit and land: £10.00 million
• Debt proportion: 60%
• Equity proportion: 40%
• Cost of debt: 6%
• Required return on equity: 20%

A simplified pre-tax WACC would be:

WACC = 60% × 6% + 40% × 20%

WACC = 3.6% + 8.0% = 11.6%

For illustration, assume that the entire £10 million cost is treated as outstanding for one year.

If the appraisal applies the 11.6% WACC to all costs and then also deducts a 20% profit on cost, it would show:

• Development costs: £10.00 million
• WACC-based “finance”: £1.16 million
• Developer’s profit at 20% of cost: £2.00 million

The residual before any other adjustments would be:

£15.00 million − £10.00 million − £1.16 million − £2.00 million = £1.84 million

However, the £1.16 million WACC allowance already incorporates a return attributable to equity. The additional £2 million profit allowance therefore includes a second reward for that equity.

The example is deliberately simplified and does not represent a full appraisal. In practice, expenditure would be phased and the relationship between a profit margin and an annual rate of return would depend heavily on the duration and timing of the project.

The important point is not that one particular residual value is necessarily correct. It is that the selected appraisal framework must not charge twice for the same required return.

5. Why the Problem Can Be Difficult to Identify

The problem can be obscured where the purported WACC is lower than the project’s true risk-adjusted cost of capital.

Using the preceding assumptions, a simplified WACC is 11.6%. An appraisal might instead apply a nominal finance rate of, say, 8% to 100% of development costs and also deduct a developer’s profit.

If that 8% rate is genuinely intended as a proxy for the developer’s borrowing cost, the conventional treatment may be defensible. The separate profit allowance would then represent the equity return and reward for risk.

If, however, the 8% rate is described as a blended cost of debt and equity, it is not conceptually consistent to deduct a full developer’s profit in addition.

A low rate may partially offset the effect of double counting, but two inconsistent assumptions do not create a sound methodology.

In short:

A conceptual error should not be corrected by an offsetting assumption.

6. Conceptually Consistent Approaches

There are three principal approaches that can be applied consistently.

6.1 Traditional residual valuation

Under the conventional residual method:

• include an assumed debt finance cost;
• apply it to the development expenditure for an appropriate period; and
• deduct a separate developer’s profit.

The finance rate should be a borrowing or debt rate rather than a WACC containing the equity return.

The conventional assumption that 100% of development expenditure is debt-financed is a simplifying valuation convention. It should not be taken to mean that the developer has no equity invested.

The developer’s equity return is instead represented by the separate profit allowance.

6.2 Unleveraged discounted cash-flow appraisal

Under an unleveraged DCF approach:

• model the project receipts and costs before financing;
• deduct selling and disposal costs at the dates when they arise;
• discount the resulting project cash flows at a risk-adjusted project discount rate or WACC; and
• solve for the land value that produces a zero net present value.

Under this approach, there should not normally be:

• a separate debt-interest charge within the project cash flows; and
• an additional developer’s profit deduction.

The required return is captured through the discount rate.

A separate profit figure may still be reported as an appraisal output, but it should not be deducted as an additional hurdle where the discount rate already represents the required project return.

6.3 Leveraged equity cash-flow appraisal

A developer may instead model the actual or assumed capital structure.

Under this approach:

• debt drawdowns are modelled when expenditure is incurred;
• interest and financing fees are calculated on the actual debt balance;
• equity contributions are modelled separately;
• debt is repaid from receipts; and
• the land value is solved by reference to a target leveraged equity IRR, equity multiple or other equity return measure.

This is often the clearest method where the appraisal is being used for an investment or acquisition decision rather than solely to estimate market value.

There should not ordinarily be a separate profit-on-cost deduction if the land value has already been solved to achieve the required equity IRR. The profit on cost can still be shown as a useful secondary output or cross-check.

7. Profit Margin and IRR Are Not Interchangeable

A profit margin is an absolute cash return relative to cost or value. An IRR is an annualised rate of return that reflects the timing of the cash flows.

For example, a 20% profit on cost earned over one year is economically very different from a 20% profit on cost earned over five years.

It follows that:

• the same profit margin can imply substantially different IRRs for projects of different durations;
• the same target IRR can imply different profit margins depending on the cash-flow profile; and
• a standard profit-on-cost assumption should not be treated as automatically equivalent to a standard annual discount rate.

This is one reason why conventional residual valuations should be accompanied by a cash-flow analysis where project duration, phasing or risk is material.

8. Treatment of Selling Costs

8.1 Selling costs are genuine project costs

Sales and disposal costs may include:

• sales agents’ fees;
• marketing and advertising;
• sales legal costs;
• data-room and due-diligence costs;
• letting or disposal agents’ fees;
• sales incentives;
• show-unit costs; and
• other expenditure required to realise the completed development value.

These costs must be included in the appraisal. The issue is not whether they should be recognised, but:

• when they should be recognised;
• whether they should be deducted from receipts or shown as development costs;
• whether they should attract finance; and
• whether they should form part of the cost base on which developer’s profit is calculated.

8.2 Costs payable from sale proceeds

Where an agent’s fee or legal cost:

• becomes payable only when a sale completes;
• is calculated as a percentage of the sale price; and
• is settled directly from the corresponding sale proceeds,

it is economically similar to a deduction from gross receipts.

It may therefore be clearer to calculate:

Net Sale Receipts = Gross Sale Receipts − Sales Agent’s Fees − Sales Legal Costs

The net receipt is then entered into the appraisal at the date of sale.

This treatment avoids implying that the developer funded the selling cost for a period before receiving the sale proceeds.

Alternatively, the model may show the gross receipt and the selling cost as separate cash flows on the same date. The economic result should be identical.

8.3 Should selling costs attract finance?

Selling costs should attract finance only to the extent that the developer has actually funded them before receiving the associated sale proceeds.

For example:

• an advertising campaign paid six months before the first sale is an earlier project cash outflow and may properly attract finance for that period;
• a show unit constructed before sales commence is a development expenditure and may attract finance;
• an agent’s completion fee deducted from sale proceeds does not ordinarily require advance funding and should not attract finance before completion; and
• legal fees billed and paid before completion should be modelled when paid and may attract finance for the relevant period.

The model should reflect the actual or reasonably assumed cash-flow timing rather than applying finance mechanically to every cost from an arbitrary date.

8.4 Should selling costs attract profit on cost?

This depends on how the developer’s return benchmark is defined.

Where the required return is expressed as a percentage of total development cost, and the market evidence supporting that percentage also defines total development cost as including sales and marketing costs, including those costs in the profit base may be consistent with the benchmark.

However, if profit on cost is intended to represent a return on:

• the capital committed by the developer;
• the development expenditure exposed to risk; or
• the costs requiring funding during the project,

there is a strong conceptual argument for excluding completion-based selling costs that are paid directly from sale proceeds.

Applying profit to those costs can otherwise create an arbitrary additional deduction even though the developer has not financed or exposed that amount for any material period.

The important requirement is consistency between:

• the definition of the cost base;
• the profit percentage adopted;
• the evidence from which that percentage is derived; and
• the cash-flow treatment of the costs.

8.5 Selling-cost example

Assume:

• Gross sale proceeds: £10.00 million
• Selling costs: 2% of gross proceeds
• Other development costs: £7.00 million
• Developer’s profit: 20% on cost

Selling costs are:

2% × £10.00 million = £0.20 million

Treatment A: selling costs deducted from receipts

Net sale receipts:

£10.00 million − £0.20 million = £9.80 million

Developer’s profit:

20% × £7.00 million = £1.40 million

Residual before finance and land-purchase costs:

£9.80 million − £7.00 million − £1.40 million = £1.40 million

Treatment B: selling costs included in the profit-bearing cost base

Total costs:

£7.00 million + £0.20 million = £7.20 million

Developer’s profit:

20% × £7.20 million = £1.44 million

Residual before finance and land-purchase costs:

£10.00 million − £7.20 million − £1.44 million = £1.36 million

The residual is £40,000 lower solely because a 20% profit allowance has been applied to the £200,000 selling cost.

The difference would be greater if the model also charged finance on the selling cost for a period before the corresponding sale receipt, despite the cost being payable only on completion.

This does not mean that Treatment B is necessarily prohibited by market practice. It means that the additional £40,000 must be recognised as part of the chosen developer-return assumption rather than as an unavoidable selling cost.

8.6 Profit on GDV

Where developer’s profit is calculated as a percentage of GDV rather than cost, moving selling costs between the receipt and cost sections will not itself change the profit calculation, provided that:

• GDV is consistently defined;
• the same gross or net value convention is used throughout; and
• the selling cost is deducted once, and only once.

8.7 Purchaser’s costs and vendor’s selling costs

Purchaser’s acquisition costs and vendor’s selling costs are different items.

Purchaser’s costs may include:

• Stamp Duty Land Tax;
• purchaser’s legal fees;
• acquisition agent’s fees; and
• other costs incurred by the buyer.

Vendor’s selling costs may include:

• the vendor’s sales agent’s fee;
• the vendor’s legal fees;
• marketing costs; and
• other disposal expenditure.

When a completed investment is valued by capitalising its income, care is required over whether the adopted yield and valuation convention produce:

• a gross capital value before purchaser’s costs; or
• a net price or value after allowing for purchaser’s costs.

Purchaser’s costs should not be deducted twice.

The developer’s own disposal costs should then be deducted separately where they are not already reflected in the value or receipt assumption.

The appraisal should state clearly:

• whether the completed value is gross or net of purchaser’s costs;
• whether the yield is quoted on a gross or net basis;
• whether vendor’s selling costs have been deducted; and
• the date on which each cost is assumed to arise.

9. Recommended Methodology

An appraisal should identify at the outset which framework is being used.

For a conventional residual valuation

• Use a debt or borrowing rate for the finance calculation.
• Treat the 100% finance assumption as a valuation convention, not as a WACC.
• Include a separate, market-supported developer’s profit.
• State precisely whether profit is calculated on cost, GDV or another base.
• Define which costs are included in the profit-bearing cost base.
• Model selling costs at the dates when they are expected to arise.
• Do not charge advance finance on costs payable only from simultaneous sale proceeds.

For an unleveraged DCF

• Model project cash flows before financing.
• Apply an appropriate project discount rate or WACC.
• Do not deduct a separate developer’s profit in addition to the discount-rate hurdle.
• Include selling costs in the cash flow at the appropriate dates.
• Solve for the land value that produces the target NPV.

For a leveraged equity appraisal

• Model the actual or assumed debt and equity structure.
• Calculate interest and fees on actual debt balances.
• Model equity contributions and distributions separately.
• Solve for the land value that achieves the target equity IRR or multiple.
• Report profit on cost or profit on GDV as secondary cross-checks rather than additional deductions.

10. Conclusion

Residual land valuation is highly sensitive to the treatment of finance, developer’s return and selling costs.

The principal double-counting risk arises where an appraisal includes:

• a blended rate or WACC that already contains the equity return; and
• a separate developer’s profit intended to reward the same equity and risk.

The appropriate principle is:

Use either a blended required return within a properly constructed DCF or use debt finance together with a separate developer’s profit. Do not charge twice for the same equity return.

Selling costs must be included, but they should be modelled according to their actual economic character and timing.

Completion-based sales agents’ fees and legal costs may appropriately be deducted from gross receipts or entered as simultaneous sale-date cash outflows. They should not automatically attract finance for periods during which they have not been funded.

Whether they should attract developer’s profit depends on the definition and evidence supporting the selected profit benchmark. The appraisal should avoid automatically applying a profit margin to every pass-through cost without considering whether that treatment is conceptually and evidentially justified.

The overriding requirements are:

• consistency;
• transparency;
• avoidance of double counting;
• proper recognition of cash-flow timing; and
• clear explanation of the return measure being used.

11. Further Reading

This thought piece is provided for general information and to illustrate appraisal methodology. It is not formal valuation advice, and any appraisal should be prepared in accordance with the applicable professional standards.