Contents I General theory 11 1 The expected utility model 13 2 Some basic tools 23 3 Risk aversion 43 4 Change in risk 65 II The standard portfolio problem 79 5 The standard portfolio problem 81 6 The equilibrium price of risk 95 III Multiple risks 103 7 Risk aversion with background risk 105 8 The tempering effect of background risk 115 9 Taking multiple risks 131 10 Horizon length and portfolio risk 143 11 Special topics in dynamic finance 163 3 4 CONTENTS IV The complete market model 181 12 The demand for contingent claims 183 13 Properties of the optimal behavior with complete markets 191 V Consumption and saving 199 14 Consumption under certainty 201 15 Precautionary saving and prudence 217 16 The equilibrium price of time 233 17 The liquidity constraint 253 18 The saving-portfolio problem 265 19 Disentangling risk and time 277 VI Equilibrium prices of risk and time 285 20 Efficient risk sharing 287 21 The equilibrium price of risk and time 299 22 Searching for the representative agent 313 VII Risk and information 325 23 The value of information 327 24 Bibliography 355