A person invests $2 in a market in which he may gain $1 with probability 1/2 or may lose $1 with probability 1/2 in a period independently:
a) What is the probability that the person ever goes broke?
b) What is the expected time periods to go broke?
A person invests $2 in a market in which he may gain $1 with probability 1/2...
1. UNCERTAINTY AND CONSUMER CHOICE 1. Ali is a house flipper: he buys old houses that appear to be bargains, renovates them, and then puts them back on the market for resale. Ali recently discovered a lovely Victorian house that he is considering for a rehab. There is a 2 probability that Ali will lose 10% on the deal, a 7 probability that he will gain 8% on the deal, and a . 1 probability that he will gain 20%....
1- Mr. Nailor invests $29,000 in a money market account at his local bank. He receives annual interest of 8% for 7 years. How much return will his investment earn during this time period? Use Appendix A to calculate the answer. $49,706 $20,706 $47,390 $16,907 2- Carol Thomas will pay out $8,000 at the end of the year 2, $10,000 at the end of year 3, and receive $12,000 at the end of year 4. With an interest rate of...
Chaps 1. Winnings and Losing. Suppose that a person wins a game of chance with probability 0.40. and loses otherwise. If he wins, he earns 5 dollars, and if he loses, then he loses 4 dollars. (a.) What is his expected gain or loss? boeqabat om llo onodg d 1d S a a(b.) What is the variance of his gain or loss? (c.) Find const ants a, b such that if X 0 when he loses and X = 1...
Using formulas
Dean invests 45 dollars at the end of this year into the stock market, which is expected to earn 10% per year. Dean expects to get a $2 raise every year at work for the next 26 years. Rather than spend his additional income, Dean plans to increase the amount he invests in the stock market by $2 per year. Assume Dean retires after 26 years. How much money are Dean's investments worth at the end of 26...
1. Consider the situation of a mass layof (i.e., a factory shuts down) where 1,200 people become unemployed and now begin a job search. In this case there are two states: employed (E) and unemployed (U) with an initial vector E U [0 1,200] Suppose that in any given period an unemployed person wil find a job with probabil- ity .7 and will therefore remain unemployed with a probability of .3. Additionally, persons who find themselves employed in any given...
1. Consider the situation of a mass layof (i.e., a factory shuts down) where 1,200 people become unemployed and now begin a job search. In this case there are two states: employed (E) and unemployed (U) with an initial vector E U [0 1,200] Suppose that in any given period an unemployed person wil find a job with probabil- ity .7 and will therefore remain unemployed with a probability of .3. Additionally, persons who find themselves employed in any given...
7. Mr. Thaggert is trying to decide whether to invest in stocks or in CD's(Certificate of deposit). If he invests in stocks and the interest rates go up, his stock investments go down by 2%, but he ģains î% in his CD's. On the other hand if the interest rates go down, he gains 3% in his stock investments, but he loses 1% in his CD's. a. Write a payoff matrix for Mr. Thaggert. b. If you were his investment...
Consider the situation of a mass layoff (i.e. a factory shuts down) where 1,200 people become unemployed and now begin a job search. In this case there are two states: employed (E) and unemployed (U) with an initial vector X' = (E U) (0 1,200) Suppose that in any given period an unemployed person will find a job with probability 0.7 and will therefore remain unemployed with a probability of 0.3. Additionally, persons who find themselves employed in any given...
Suppose a person has the utility function, U(I)=log(I), where I is income. He has income I2 ($4,000) with the probability of p, but knows that some externally generated risk may reduce his income to I1 ($1,000) with probability of 1-p. Suppose p=0.8. 1) Is this person risk-averse? If so, why? 2) What is the expected income of this person? 3) What is the utility of expected income for this person? 4) What is the expected utility of this person? 5)...
1) Suppose the a priori probability of a bull market is 0.8, and a bear market is 0.2. In a bull market, there is a 0.7 probability of a rise in stock prices over a one-week period and 0.3 probability of a fall in stock prices over the same period. Alternatively, in a bear market there is a 0.4 probability of a rise in stock prices in a one-week period and a 0.6 probability of a decline in stock prices...