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Approaches to Valuation🔴 Advanced

Should You Wait Before Making This Investment?

Valuing Flexibility: What Is the Option to Expand Worth?

Some assets derive value from choices — the option to expand, delay, or abandon. Real options capture this flexibility that DCF misses.

Real OptionsBlack-ScholesExpansion OptionFlexibility

Live Result

$18.39404

ƒ: S * exp(-q * t) * N_d1 - K * exp(-r * t) * N…raw: 18.3940

ƒ(x)

Use variable names from the panel above (e.g. FV, r, n) — or type numbers directly: 10000 / (1 + 0.08)^10

Current value of the underlying asset (e.g. project NPV)

S = 100

Strike price (investment required to exercise option)

K = 90

r% as decimal

Risk-free rate (decimal)

r = 0.05

Time to expiration in years

t = 2

N_d1% as decimal

N(d1) — probability term from Black-Scholes (0 to 1)

N_d1 = 0.7

N_d2% as decimal

N(d2) — probability term from Black-Scholes (0 to 1)

N_d2 = 0.6

Dividend yield / cost of delay (decimal)

q = 0.02

💡 You can also enter values directly in the formula: 10000 / (1 + 0.08)^10

⬇ Export Calculation

Exports a plain .txt file with your expression, formula, all variable values, result, and educational notes — ready to paste into any report, Word doc, Notion, or Google Docs.

The exported file includes the formula in standard mathematical notation — you can paste it directly into Excel, Google Sheets, or back into FinanceSheep.

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Learn: Valuing Flexibility: What Is the Option to Expand Worth?

Approaches to Valuation · Educational Guide

The Core Idea

Standard DCF assumes you make a decision once and lock in. But real businesses have choices: expand into a new market, delay an investment, or shut down a failing project. Real options value those choices.

How It Works

Real Option Value = value of managerial flexibility. A patent gives you the option to commercialise a drug — that option has value even before the drug is approved. An oil field gives you the option to drill — valuable even when oil prices are low.

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Real-World Example: A pharmaceutical company has a drug patent (10-year life). Drug value if developed: $500M. Development cost: $400M. At first, DCF says NPV = $500M − $400M = $100M. But with uncertainty, the real option value adds $80M of flexibility. True value = $180M.

Should You Wait Before Making This Investment?

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