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409A Backsolve Explained: How Your Round Price Becomes Your Strike Price
Express 409A·Published March 7, 2026·Updated May 17, 2026·4 min read
TLDR
The backsolve is the most common 409A methodology for venture-backed startups. The appraiser starts with the price investors paid for preferred stock, works backward through an option pricing model to determine total equity value, then allocates that value across all share classes. Common stock gets what's left after preferred gets its liquidation preferences. The quality of the backsolve depends on the comparable companies used for volatility, the accuracy of the capital structure model, and the time-to-liquidity estimate.
15–35%
The backsolve in plain language
After a priced round, your appraiser will almost certainly use the backsolve method. It's the most defensible approach for venture-backed startups because it's anchored to an arm's-length transaction — the price sophisticated investors paid for preferred stock.
Here's how it works, step by step:
Start with the transaction. Investors just paid $5.00 per share for Series A preferred. That's the anchor. It's a real price from a real transaction between sophisticated parties — the strongest possible input for a valuation under the AICPA Valuation Guide Chapter 8 framework for inferring value from precedent transactions.
Model the full capital structure. The appraiser maps every security in the cap table: common shares, each series of preferred stock (with their specific liquidation preferences, conversion ratios, and participation rights), the option pool (both granted and available), outstanding SAFEs, convertible notes, and warrants. Each security has different economic rights — and the allocation depends on getting this structure exactly right.
Run the Option Pricing Model (OPM). The OPM treats each share class as a call option on the total enterprise value. Preferred stock has a lower "strike" (it gets paid first), so it captures more of the value in low-outcome scenarios. Common stock has a higher effective "strike" (it only receives value above the preference stack), so it captures value in higher-outcome scenarios. The model uses Black-Scholes mathematics to allocate value across these claims.
Solve backward. The appraiser adjusts the total equity value in the OPM until the model outputs a preferred stock value that matches the actual round price ($5.00/share). When the model and the transaction align, the total equity value is "solved" — and the common stock value falls out of the allocation.
Apply the DLOM. The pre-discount common stock value is then reduced by a Discount for Lack of Marketability — typically 15–35% — reflecting that private stock can't be freely sold. The post-DLOM number is your FMV per common share.
The five inputs that drive the result
The backsolve is only as good as its inputs. Five variables matter most:
1. Transaction price per preferred share. This comes directly from your round — it's a fact, not an assumption. It's the most reliable input in the model.
2. Full capital structure. Every share class, every option grant, every SAFE, every warrant. A single error in conversion ratios or liquidation preferences can materially change the common stock allocation. This is where automated platforms are most vulnerable: they rely on user-entered data, and cap table errors flow directly into the valuation.
3. Liquidation preferences and conversion rights. From your certificate of incorporation. Does the preferred get 1x non-participating liquidation preference? 1x participating? 2x? Do SAFEs convert into the new preferred class or a shadow series? Each term changes the waterfall and therefore the allocation.
4. Volatility. Derived from comparable public companies — not assumed. The appraiser identifies publicly traded companies in your industry at a similar stage and calculates their equity volatility. This is a critical judgment call: selecting SaaS comparables for a hardware company produces a materially different result. Typical startup volatility ranges from 50% to 90%.
5. Time to expected liquidity event. Management's estimate of when an exit (acquisition or IPO) might occur — typically 2–5 years for venture-backed startups. A longer time to liquidity increases the common stock value (more time for the company to grow above the preference stack) but also increases the DLOM (longer illiquidity period).
What makes a backsolve defensible vs. weak
A defensible backsolve has three characteristics:
Relevant comparables. The companies used for volatility must be in the same industry, at a similar stage, and of a comparable size. An auditor who sees that a SaaS company's volatility was derived from oil and gas explorers will flag the report.
Accurate capital structure. The liquidation waterfall must match the certificate of incorporation exactly. The appraiser should reconcile the cap table against the charter and note any discrepancies. This is analytical work that requires human judgment — a template can't reconcile your specific charter against your specific cap table.
Documented assumptions. Every input must be sourced and explained in the report. Why these comparables? How was volatility calculated? What's the basis for the time-to-liquidity estimate? Per AICPA Valuation Guide Chapter 13, the report must document all assumptions and rationale. A thin methodology section — one that says "we selected comparable companies" without naming them or explaining the selection criteria — is a red flag for auditors.
Express 409A uses live market data for comparable company selection and transaction multiples — not stale databases or auto-populated templates. Our investment banking team has modeled complex capital structures in M&A transactions where the math was challenged by sophisticated counterparties. A 409A backsolve uses the same framework at a fraction of the scale. Every assumption is documented. Every comparable is justified.
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