2
DerivativesModule 2 of 2

Derivative Pricing and Valuation

5

Concepts

5

Formulas

1

Decisions

3

Quiz Questions

Key Concepts

5 concepts covered in this module.

No-Arbitrage Pricing

Derivatives priced so no riskless profit is possible. If mispriced, arbitrageurs act to restore equilibrium.

Replication

A derivative can be replicated by a portfolio of the underlying and risk-free asset. Replication cost = derivative price.

Cost of Carry

Forward price = Spot × (1+r)T + Storage - Convenience yield. For financial assets: F = S(1+r)T.

Put-Call Parity

c + PV(X) = p + S. Links call, put, bond, and stock prices. Violation = arbitrage opportunity.

Binomial Option Pricing

Model stock as up/down moves. Calculate option values at nodes. Discount back using risk-neutral probabilities.

Formulas

5 essential formulas for this module.

Forward Price (no income)

F0 = S0 × (1 + r)T

Where: S = spot, r = risk-free rate, T = time

Forward with Continuous Dividends

F0 = S0 × e(r-q)T

Where: q = continuous dividend yield

Put-Call Parity

c + PV(X) = p + S

Where: c = call, p = put, X = strike, S = stock

Risk-Neutral Probability

πu = (1 + r - d) / (u - d)

Where: u = up factor, d = down factor

Binomial Option Value

C = [πuCu + (1-πu)Cd] / (1+r)

Where: Discount expected payoff at risk-free rate

Decision Frameworks

1 decision frameworks to guide your analysis.

When is put-call parity violated?

  • If c + PV(X) ≠ p + S, arbitrage exists
  • Buy the cheap side, sell the expensive side

Mind Map

Visual overview of how concepts connect in this module.

Derivative Pricing
Principles
No-arbitrage
Replication
Risk-neutral pricing
Law of one price
Forward Pricing
F = S(1+r)^T
Cost of carry
Convenience yield
Storage costs
Put-Call Parity
c + PV(X) = p + S
European only
Arbitrage if violated
Binomial Model
Up/down factors
Risk-neutral prob
Backward induction
Option value at nodes

Study Derivative Pricing and Valuation

This module has 11 flashcards and 3 quiz questions to test your knowledge.

Open the study dashboard to access interactive flashcards, timed quizzes, and track your progress.

Open Study Dashboard

No signup required. Create an account anytime to save progress.