5. Find the expected value assuming the risk factor is 30% and the interest rate is 15%, if you will receive $20,000 one year from today. 6. Find the expected value assuming the risk factor is 30% and the interest rate is 15%, if you will receive $20,000 two years from today.
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- Johnny is "paid" by his parents $2o if he gets a grade A, $10 if he gets a grade B, whereas he has to pay his parents back $5 if he gets a grade other than A or B. On average 20% of the grades he gets are A, and 30% are grades B. What is the expected value of what he "earns" per grade ? What is the expected value of what he "earns" at school weekly if on average he gets five grades a week ? How long should Jim save until he collects enough money to buy a pair of brand new Hi-Fi headphones that cost $225?5. Find the expected value assuming the risk factor is 30 % and the interest rate is 12% , if you will receive $20,000 one year from today.Imagine that you are a completely risk indifferent investor. A client would like topay you and gives you two options how they would be willing to pay.1. An immediate payment of $50,0002. A monthly payment of $3,000 over the next four years.You believe that the interest rate over the next four years will be 6%. Whichoption do you prefer? One of your advisors thinks that it will be rather 8%, whileanother one calculates it in a more conservative way and expects rather 4%.Would following one of them change your decision? In which way?
- Submit All Question 28 of 30 Suppose Jon decides to purchase either a long-term Treasury bond or a share of stock from a company in the Dow Jones Industrial Average. Assume that either one will behave similarly to the average security in their class, and ignore the effect of market conditions. Which security is more likely to lose most of its value in the next year after Jon purchases it? O the probabilities of major loss are the same they are both guaranteed to increase in value the stock the bond Based on historical returns, which security is likely to grow more significantly in value after Jon purchases it? the bond 8:27 PM a 46°F E 4) 12/15/202You have $1,000 that you can invest. If you buy Ford stock, you face the following returns and probabilities from holding the stock for one year: with a probability of 0.2 you will get $1,500; with a probability of 0.4 you will get $1,100; and with a probability of 0.4 you will get $900. If you put the money into the bank, in one year’s time you will get $1,100 for certain. a) What is the expected value of your earnings from investing in Ford stock? b) Suppose you are risk-averse. Can we say for sure whether you will invest in Ford stock or put your money into the bank?3. The day prior to the release of yearly profits, a stock has price equal to 1. An investor is deciding whether to buy the stock or not. The investor has a wealth equal to 10. Yearly profits can be high with probability 0.4 or low with probability 0.6. If profits are high, the price will double on the following day; if profits are low, the price will halve on the following day. If the investor does not buy the stock, her wealth remains unchanged. If the inverstors buys the stock, she will sell the stock on the following day (regardless of whether the profits are high or low) and she will accrue the relative profit or loss. In other words, she cannot hold the stock for more than one day. The investor does not discount the future and she abides von-Neumann and Morgenstern axioms. Her vNM utility index over money is u (x) = r with 3 E (0,2). • Write down the two possible gambles faced by the investor. • Does the investor buy the stock or not? Explain. • Compute the Arrow-Pratt measure of…
- Economics Shawn's consumption is subject to risk. With probability 0.75 he will enjoy 10000 in consumption, but with probability 0.25 he will have only 3600. His utility function for consumption is given by v(c) = Vc. -What is the expected value of Shawn's consumption? -What is his expected utility? -What is his certainty equivalent of having 10000 with probability 0.75 and 3600 with probability 0.25?4) Luke is planning an around-the-world trip on which he plans to spend $10,000. The utility from the trip is a function of how much she spends on it (Y ), given by U(Y) = InY a). If there is a 25 percent probability that Luke will lose $1000 of his cash on the trip, what is the trip's expected utility. b). Suppose that Luke can buy insurance to fully against losing the $1,000 with a actuarially fair insurance. What is his expected utility if he purchase this insurance. Will he purchase the insurance? c). Now suppose utility function is U(Y) = Y/1000 What is his expected utility if he purchase the insurance in b). Will he purchase the insurance?6- Suppose Firm B is selling 1 -year insurance contracts for houses. Suppose Firm B's customers are divided into three categories with different probabilities of needing a payment. First category will ask for a payment of 500000 with probability 0.10, the second category will ask for a payment of 250000 with probability 0.15 and the third category will ask for a payment of 100000 with probability 0.2 a. Calculate Firm B's expected payment for the year. Suppose Firm B has 120 customers in the first category, 230 in the second category and 405 in the third category. b. Calculate individual premium if Firm B charges the same amount to all its customers. 1 c. Calculate individual premium if Firm B utilizes the risk groups and charges the same amount of premium within groups d. Which group/groups are more likely to buy the insurance with group pricing compared to the case with uniform pricing?
- Sam, after taking a $200 loan from the bank to finance an investment that pays $1000 50% of the time and $0 50% of the time at a 100% interest, discovers another riskier investment that pays out $5,000 but only 10% of the time, while the other 90% of the time it pays zero. Would the he want to switch to the riskier investment? Question 4 options: Yes because his return has increased No because his liability to the bank has increased No because his return has decreased None of the aboveSuppose Grace and Lisa are to go to dinner. Lisa is visiting Grace from outof town, and they are to meet at a local restaurant. When Lisa lived in town,they had two favorite restaurants: Bel Loc Diner and the Corner Stable. Ofcourse, Lisa’s information is out of date, but Grace knows which is betterthese days. Assume that the probability that the Bel Loc Diner is better isp > 1/2 and the probability that the Corner Stable is better is 1 - p. Naturedetermines which restaurant Grace thinks is better. Grace then sends amessage to Lisa, either “Let’s go to the Bel Loc Diner,” “Let’s go to theCorner Stable,” or “I don’t know [which is better].” Lisa receives the message, and then Grace and Lisa simultaneously decide which restaurant to go to. Payoffs are such that Grace and Lisa want to go to the same restaurant, but they prefer it to be the one that Grace thinks is better. More specifically, if, in fact, the Bel Loc Diner is better, then the payoffs from theiractions are as shown in the…5. You have been hired as a portfolio manager for a fancy hedge fund. Your first job is to invest $100,000 in a portfolio of two assets. The first asset is a safe asset with a certain return of 5%. The second asset is shares of a dying video-game store that has become popular with retail investors, it has a 20% expected rate of return, but the standard deviation of this return is 10%. Your manager wants a portfolio with as high a rate of return as possible while keeping the standard deviation at or below 4%. How much of the fund's money do you invest in the safe asset?
