MACROSLM · VALUATION ADVISORYDISCOUNT FOR LACK OF MARKETABILITY (DLOM)
Larkfield Instruments, Inc.
Private company · 409A / fair value
Valuation date · 30 Jun 2026
MARKETABILITY DISCOUNT ANALYSIS

DLOM analysis — non-marketable minority interestThree option-pricing proxies, a derived volatility input, and a restricted-stock cross-check

Concluded DLOM
16.2%
mean of option models
Non-marketable value
$41.9M
from $50.0M marketable
EXHIBIT 1
DLOM by method (%)
MethodFormulaDLOM
Chaffee — protective pute^(−rT)·N(−d₂) − N(−d₁)20.0%
Finnerty — average-strike (2012)2·N(ν/2) − 114.1%
Asian — average-price put2·N(σ_A·√T/2) − 114.6%
Concluded (option-model mean)mean of the three16.2%
Restricted-stock studies (cross-check)published median, term-matched18.0%
EXHIBIT 2
Volatility derivation — guideline public companies
Guideline company (listed comparable)Annualized σ ≈

KEY INPUTS

Equity volatility (σ)45%
Expected holding period2.0 yrs
Risk-free rate (term-matched)4.3%
Marketable equity value$50.0M
Less: DLOM$(8.1M)
Non-marketable value$41.9M

METHOD NOTES

Volatility (σ). Built from six real listed comparables in the analytical-instruments sector (Teledyne, Mettler-Toledo, Agilent, Waters, Revvity, Bruker; Exhibit 2). The peer median annualized volatility (~29.5%) is a large-cap figure; a private-company / size premium (+15.5%) is added — reflecting that a small, non-traded issuer is more volatile than diversified large caps — to a concluded σ of ~45%, which sets the slider default. Peer volatilities are approximate observable figures, term-matched to the expected holding period.
Chaffee (1993). Values a European at-the-money protective put over the holding period; DLOM = e^(−rT)·N(−d₂) − N(−d₁), where d₁ = (r + σ²/2)T / (σ√T) and d₂ = d₁ − σ√T. Uses the full asset volatility.
Finnerty (2012). Average-strike put capturing the average price over the restriction period; DLOM = 2·N(ν/2) − 1, with ν² = σ²T + ln[2(e^(σ²T) − σ²T − 1)] − 2·ln(e^(σ²T) − 1). Averaging reduces the effective variance, so it prints below Chaffee.
Asian average-price put. DLOM = 2·N(σ_A·√T/2) − 1, with σ_A = σ/√3 — the volatility of the continuous time-average — reflecting that an averaging feature dampens dispersion.
Risk-free rate. Term-matched U.S. Treasury yield to the expected holding period.
Note on data. The DLOM models are exact and computed live (Chaffee 1993; Finnerty 2012; Asian average-price put). The volatility input is derived from real listed comparables (approximate annualized figures, Exhibit 2) plus a size premium. The subject — Larkfield Instruments — and the $50M marketable value are illustrative, because a real DLOM is company-specific and its private-company facts are not public. Not a valuation opinion or investment advice; a live engagement documents guideline-company selection, the holding-period estimate, and the volatility build in full.