last 3 digits is 194

ZETA IS 194

In the questions for this assignment, let ( be the number between 0 and 999 formed by the last three digits of your student number. For example, if your student number is 1234567 thens = 567 1. In a given investment market, the value of an investment does one of the following every year: Falls by 20%, with probability (500+)/5000 Rises by 20%, with probability (600 + 2C)/5000 Is unchanged, with probability (3900 - 3C)/5000 This investment has no investment income for the period considered, so all returns are in the form of capital gains (or losses). Returns in different years are indepen- dent. (a) For the future value sg of five equal instalments of 1 each, calculate: (i) The mean Es (ii) The standard deviation Stdev(sa) (b) Calculate the expected present value Eag of a five-year annuity certain payable at the end of each year. State your answers to four decimal places. In the questions for this assignment, let ( be the number between 0 and 999 formed by the last three digits of your student number. For example, if your student number is 1234567 thens = 567 1. In a given investment market, the value of an investment does one of the following every year: Falls by 20%, with probability (500+)/5000 Rises by 20%, with probability (600 + 2C)/5000 Is unchanged, with probability (3900 - 3C)/5000 This investment has no investment income for the period considered, so all returns are in the form of capital gains (or losses). Returns in different years are indepen- dent. (a) For the future value sg of five equal instalments of 1 each, calculate: (i) The mean Es (ii) The standard deviation Stdev(sa) (b) Calculate the expected present value Eag of a five-year annuity certain payable at the end of each year. State your answers to four decimal places