On the advice of your broker ten years ago, you invested in a $6 stock that is now selling for $30. At what rate has your capital grown? b. Your father is about to retire. His firm has given him the option of retiring with a lump sum of $50.000 or an annuity of $8.000 for ten years. Which is worth more now, if the discount rate is (1) 6%, (2) 18%?2. Mr. Smith retires in exactly 20 years. At that time he desires to have accumulated enough money so that he can consume SI00,000 per year for perpetuity starting at that time. He, furthermore, wishes to make equal payments to his account each period - 20 payments in all. What should his yearly savings be to achieve these objectives, if the aftertax return available to him is 15%? 3. Mr. D. plans to retire exactly twenty years from now (t=0), and he would like to have accumulated, by retirement, enough money to enjoy a $100,000 per year retirement income beginning in year 21 and continuing in perpetuity thereafter. So far he has saved up $50.000. all in stocks (that is. at t=0 his pension account contains $50,000). a) What must his annual contributions be if he is to achieve his goal (assume he makes 20 payments)? On average he expects to earn 10% on his money. b) The stock market collapses. By the end of the day (it is still t=0)his accumulated wealth has fallen to $30.000. Assuming he still expects on average to earn 10%, how much must he now contribute (assume 20 equal payment)