Introductory apps

• App 1: Future value of single savings payment
• App 2: Future value (nominal and real) of single savings payment
• App 3: Future value of constant yearly savings payments
• App 4: Future value (nominal and real) of constant (nominal) yearly savings payments
• App 5: Future value (nominal and real) of constant (real) yearly savings payments
• App 6: Required wealth to finance constant (nominal) yearly spending
• App 7: Required wealth to finance constant (nominal/real) yearly spending
• App 8: Real yearly spending financed by given (real) yearly savings
• App 9: Yearly savings required to finance given yearly spending (both in real terms)

Apps including risk

• App 10: Real yearly pension resulting from constant (real) yearly savings
• App 11: Real yearly savings required to reach minimum desired (real) yearly pension with probability p
• App 12: Years to ruin when spending yearly from given retirement savings
• App 13: Maximum periodic spending possible to exceed specified minimum years to ruin with probability p

Apps including longevity risk

• App 7m: Pension fund’s view: Required wealth to finance constant (nominal/real) pension payments
• App 8m: Real pension payments that can be financed by given (real) savings
• App 9m: Savings required to finance given life-long continuous spending (both in real terms)
• App 14: “Fair” conversion rate for given mortality, and constant expected (or average) investment returns
• App 15: Approximate probability of retirement ruin for given spending rate, given wealth and log-normally distributed real returns
• App 16: Moments and conditional survival probabilities for the Gompertz-Makeham distribution