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1 Chapter 2FIGURE 2.1 Bond price versus yield with coupon rate = 2% p.a.FIGURE 2.2 Price of bond versus remaining years to maturity.FIGURE 2.3 Pull to par effect for a 2‐year, 4% semiannual coupon bond.FIGURE 2.4 Cash flows of a 2‐year 4% semiannual coupon bond versus a 2‐year ...FIGURE 2.5 Newton‐Raphson method.FIGURE 2.6 PV01, PVBP, and modified duration of a coupon bond.FIGURE 2.7 Interest and principal payments of a level pay loan.FIGURE 2.8 A pool of loans with low prepayment speed.FIGURE 2.9 A pool of loans with high prepayment speed.FIGURE 2.10 Negative convexity due to increased prepayments when rates are l...FIGURE 2.11 U.S. Treasury yield curve.

2 Chapter 3FIGURE 3.1 Compound lottery.FIGURE 3.2 Risk attitude and utility function.FIGURE 3.3 Risk premium for a risk‐averse investor.FIGURE 3.4 Conic sections.FIGURE 3.5 Feasible region for two risky assets.FIGURE 3.6 Feasible regions for different correlations.FIGURE 3.7 Feasible region for three or more risky assets.FIGURE 3.8 Method of Lagrange multipliers.FIGURE 3.9 Relationship between CML and the feasible region of risky assets....FIGURE 3.10 Proof of the CAPM formula.FIGURE 3.11 PCA identification of eigenvectors.FIGURE 3.12 Utility indifference curves.FIGURE 3.13 5‐year monthly price history of Amazon (AMZN), Walmart (WMT).FIGURE 3.14 Walmart (WMT) versus Amazon (AMZN).FIGURE 3.15 Z‐Score for Amazon‐Walmart pair trade.FIGURE 3.16 10,000 risky portfolios.

3 Chapter 4FIGURE 4.1 Contango versus backwardation.FIGURE 4.2 3‐month evolution of an asset's spot and forward prices.

4 Chapter 5FIGURE 5.1 Economic value of European‐style call and put options at expirati...FIGURE 5.2 One‐step binomial model.FIGURE 5.3 Lack of arbitrage.FIGURE 5.4 Two‐step binomial model.FIGURE 5.5 Two‐period evolution of the replicating portfolio for a call opti...FIGURE 5.6 A symmetric random walk is a martingale.

5 Chapter 6FIGURE 6.1 Standard Brownian motion.FIGURE 6.2 Geometric Brownian motion.FIGURE 6.3 Random walk with drift (top); exponentiated random walk with drif...FIGURE 6.4 Normal and lognormal random variables with same mean and variance...FIGURE 6.5 European‐style option payoffs.FIGURE 6.6 Skew and smile effect for out‐of‐the‐money options.FIGURE 6.7 Call option value and its delta.FIGURE 6.8 Put option value and its delta.FIGURE 6.9 Convexity PnL versus time decay for a delta‐hedged call option.FIGURE 6.10 Delta as a function of time to expiration, .FIGURE 6.11 CRR binomial model.FIGURE 6.12 Backward induction algorithm.FIGURE 6.13 Two antithetic sample paths in a random walk.FIGURE 6.14 Convergence of CRR model to BSM Formula.FIGURE 6.15 Convergence of backward induction model to the American option....

6 Chapter 7FIGURE 7.1 Forward‐rate, zero‐coupon, and discount‐factor curves.FIGURE 7.2 Cash flows of a 1‐year USD fixed versus floating interest rate sw...FIGURE 7.3 Payoff of a into ‐year payer swaption.FIGURE 7.4 Typical implementation of the Hull‐White model.FIGURE 7.5 Navigating the sublattice originating from each node to extract t...FIGURE 7.6 Forward induction and pure security prices.FIGURE 7.7 Two‐year evolution of the 6‐month rate.FIGURE 7.8 Full term structure model.

7 Appendix AFIGURE A.1 Probability density function of a normal random variable.