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Preface xv
Investment Assets Held by Pension Funds 1
Money-market securities 1
Bonds and loans 5
Shares 10
Collective investment vehicles 13
Unit trusts and open-ended investment vehicles 13
Investment trusts 15
Insurance products 16
Exchange-traded funds and guaranteed growth funds 17
Real assets 18
Property 18
Land 21
Collectibles 21
Derivatives 22
Forwards and futures 22
Options, warrants and convertibles 26
Swaps 32
Forward-rate agreements 36
Synthetic securities 37
Alternative investments 37
Public market strategies 38
Private market or private equity strategies 44
Natural resources 47
Socially responsible investment 48
Global custody 49
Different asset characteristics and uses 51
Asset characteristics 51
Asset uses 52
Conclusions 61
Questions 61
Standard deviation, value-at-risk and correlation 62
References 64
Personal Finance: The Allocation of Personal Wealth to Different Asset Classes 67
Introduction 67
Modelling the allocation of personal wealth to different asset classes 70
Conclusions 74
Questions 75
References 76
Corporate Pension Finance 77
The valuation of pension liabilities: differences between the actuarial and economic approaches 77
Pensions and the company balance sheet: differences between the accounting and economic approaches 79
The asset allocation of the pension fund 83
A fully funded pension fund 84
An underfunded pension fund 87
A pension fund with liabilities linked to earnings growth 87
An insured pension fund 88
The relationship between the pension fund and the sponsoring company's profitability, credit rating and share price 91
Profitability 91
Credit rating 92
Share price 93
Conclusions 96
Questions 98
References 99
Defined Contribution Pension Schemes - The Accumulation Phase 101
The optimal design of DC schemes during the accumulation phase 101
Stochastic pension scheme design 102
Risk factors 104
Control variables 111
Simulation output 114
Choosing the optimal asset-allocation strategy 122
The trade-off between risk and contribution rates 123
Charges 124
Types of charges 124
Reduction in yield 125
Reduction in contributions 127
Changing charging structures and the impact of hidden charges 130
Persistency 132
Persistency rates 132
Adjusting reported charges for policy lapses 133
Conclusions 134
Questions 135
Charges 137
Reduction in yield 138
Reduction in contributions 139
Adjusting for lapse rates 140
References 142
Defined Contribution Pension Schemes - The Distribution Phase 145
Annuities 145
Purchase arrangements 146
Coverage 146
Variations 147
Other features 147
Payment terms 148
Decomposition of annuity charges 152
Mortality drag 159
The optimal design of DC schemes during the distribution phase 161
Alternative distribution programmes 162
Stochastic pension scheme design 166
Simulation output 174
Impact of poor health 183
The annuitisation decision 183
Conclusions 187
Questions 188
References 189
Defined Benefit Pension Schemes 191
Types of defined benefit scheme 191
Defined benefit liabilities 194
The option composition of pension schemes 196
Valuing the options 199
The pension scheme preferences of members, sponsors and fund managers 206
Conclusions 208
Questions 209
References 209
Pension Fund Management 211
The role of a pension fund 211
The functions of a pension fund manager 217
Fund management styles 218
Different fund management strategies for defined benefit and defined contribution schemes 220
The fund manager's relationship with the trustees 224
Determining the trustees' objectives and constraints 224
Determining the trustees' benchmark portfolio 225
Investment-risk budgeting 231
Passive fund management 233
Active fund management 237
Active share-fund management 238
Active bond-fund management 243
Mixed active-passive fund management 248
Asset-liability management 250
Managing surplus risk 253
Managing contribution risk 259
Key ALM strategies 260
The Myners Review of institutional investment 274
Conclusions 280
Questions 281
Investment-objectives questionnaire 283
Derivation of the optimal contribution rate and asset allocation in a defined benefit pension fund 287
References 290
Pension Fund Performance Measurement and Attribution 293
Ex post returns 293
Benchmarks of comparison for actively managed funds 296
Risk-adjusted measures of portfolio performance for actively managed funds 299
Performance measures based on risk-adjusted excess returns 300
Performance measures based on alpha 302
Performance attribution for actively managed funds 305
Liability-driven performance attribution 310
Realised investment performance 314
Investment performance of DC funds 314
The investment performance of DB funds 317
Performance-related fund management fees 324
How frequently should fund managers be assessed? 326
Conclusions 328
Questions 329
Deriving the power function 330
References 332
Risk Management in Pension Funds 335
The objective of hedging 335
Hedging with futures 336
Hedging with stock-index futures 338
Hedging with bond futures 340
Hedging with currency futures 343
Hedging with options 344
Hedging with individual stock options 344
Hedging with stock-index options 350
Hedging with bond options 351
Hedging with currency options 351
Hedging with swaps 352
Hedging longevity risk 354
Longevity risk 354
A new hedging instrument: longevity (or survivor) bonds 358
The implications of longevity bonds 358
Mortality-linked derivatives 362
Conclusions 363
Questions 363
References 364
Pension Fund Insurance 367
The Pension Protection Fund (PPF) 367
What the Pension Protection Fund can learn from other financial institutions and compensation schemes 368
The financial regulation of banks 369
The financial regulation of life assurers 374
Financial Services Compensation Scheme 382
The financial regulation of pension funds 383
Pension Benefit Guaranty Corporation (PBGC) 388
The risks facing the PPF 390
Moral hazard 391
Adverse selection: bad drives out good 392
Systemic risk 392
Political risk 394
Dealing with these risks 394
An equity claim against the sponsoring company 395
A maximum payout 395
Risk-based premiums linked to the level of underfunding 395
A funding standard for schemes 396
Close supervision and the public exposure of companies that underfund their schemes 397
Comment 398
Conclusions 398
Questions 399
The Marcus (1987) and Vanderhei (1990) Models 400
References 408
Financial Arithmetic 411
Future values: single payments 411
Simple interest 411
Compound interest: annual compounding 412
Compound interest: more frequent compounding 412
Flat and effective rates of interest 414
Present values: single payments 414
Present values: annual discounting 415
Present values: more frequent discounting 415
Future values: multiple payments 416
Irregular payments 416
Regular payments 417
Present values: multiple payments 418
Irregular payments 418
Regular payments: annual payments with annual discounting 419
Perpetuities 419
Rates of return 420
Single-period rate of return 420
Internal rate of return or money-weighted rate of return 421
Time-weighted rate of return or geometric mean rate of return 423
Yields and Yields Curves 425
Yields 425
Current yield 425
Yield to maturity 425
Yield curves 427
The yield to maturity yield curve 427
The coupon yield curve 428
The par (or swap) yield curve 429
The spot (or zero-coupon) yield curve 430
The forward yield curve 433
The annuity yield curve 436
Rolling yield curve 437
Duration and Convexity 439
Duration 439
Convexity 446
Index 451
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