1. Jill purchased a share for $6.23 one year ago. The share is now worth $13.08. During the year, the share paid a dividend of $1.74. What is the total return to Jill from owning the share? (as a percentage to the nearest two decimal points; don't use % sign. eg 2.881% is 2.88.)
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3. Grant may get a bonus next year of $150,000 if he achieves the greatest number of house sales in his employer's real estate business. If he comes second he will only get a bonus of $50,000 and if he doesn't come in the top two, he gets nothing. There is a 40% chance Grant gets first place, a 40% chance he gets second and a 20% chance he ranks below second place. What is the standard deviation of the bonus? (Round to the nearest dollar).
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5. You think that your chance of getting a well-paid job in an investment bank is about 28 per cent. If you get the job you will have a starting salary of $72,000 per year. However, if you don't make the cut then you will work at a fast food outlet for $40,000 per year. What is your expected starting salary? (to the nearest dollar)
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7. Jill purchased a piece of real estate one year ago for $620,000. The real estate is now worth $670,000. If Jill needs to have a total return of 11.8 per cent during the year, then what is the dollar amount of income that she needed to have to reach her objective? (to the nearest dollar; don't use $ sign or commas)
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9. Jack purchased a share one year ago for $8.87, and it is now worth $12.40. The share paid a dividend of $1.98 during the year. What was the share's income rate of return during the year? (as a percentage to the nearest two decimal points. don't use % sign. eg 2.881% is 2.88)
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11. In a game of chance, the probability of winning a $50 prize is 30 per cent, and the probability of winning a $100 prize is 70 per cent. What is the expected value of a prize in the game?
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13. In the next year, you expect Westpac shares have a 20% chance of earning 10 percent return, a 50% chance of earning only 2 percent and a 30% chance of earning -10 percent. Based on this, what is the standard deviation of Westpac's expected return?