The following two assets and payout data are given below: Asset A: Pays a return of $2,000 20% of the time and $500 80% of the time. Asset B: Pays a return of $1,000 50% of the time and $600 50% of the time. If both assets can be acquired for the same price, as a risk-averse investor, you would prefer
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- b) Jay is holding some Tesla shares (NASDAQ: TSLA) and The TSLA stocks are currently trading at $985 on the Nasdaq. Given TSLA stocks are very volatile, Jaleel wishes to protect the value of his investments. He seeks your advice on using option contracts and presents a list of options for you to choose from. Assume the number of underlying shares per contract is 100 shares. Strike $975 $980 $985 $1005 (i) (ii) Call premium Moneyness $10.01 $4.45 $0.63 $0.05 Put premium Moneyness $0.01 $0.04 $0.99 $20.48 Please specify the moneyness of the above options. Are they in the money, at the money, or out of the money? Explain the type of risk that Jay is facing and which option is your suggestion to control his risk, provide your reason and explain it.Buying and selling prices for risky investments obviously are related to certain equivalents. This problem, however, shows that the prices depend on exactly what is owned in the first place. Suppose that your utility for wealth (A) can be represented by the utility function u(A) = In [(A)] You currently have R1000 in cash. A business deal of interest to you yields a reward of R100 with probability 0,5 and RO with probability 0,5. 2.1 If you own this business deal in addition to the R1000, what is the smallest amount for which you would sell the deal? 2.2 Suppose you do not own the deal. Formulate an appropriate equation and solve with algebra to find the largest amount you would be willing to pay for the deal. 2.3 Explain why the amounts in 2.1 and 2.2 are slightly different.You observe the E[IBM] = 8%, E[AAPL] = 12%, B(AAPL)=B(IBM)+2/3, Risk-free rate is 4%. What is the expected return on the market portfolio assuming the CAPM is true.
- A maximizing investor with preferences u(u, o) = 0.2u – 0.50^2 will allocate a portfolio worth 4000 between a risk free asset with a return of 4 percent and the market asset with a return of 20 percent and risk of 4 percent. How many dollars should be invested in the market asset? %3DThe value of Jon’s stock portfolio is given by the function v(t) = 50 + 77t + 3t2, where v is the value of the portfolio in hundreds of dollars and t is the time in months. How much money did Jon start with? (y-intercept) What is the minimum value of Jon’s portfolio? (vertex)A bond has a face value of $100 and coupon ratio of 5%. The bond matures in 10 years. What is the bond's yield-to-maturity if the bond is being traded at par (that is the bond price is $100)? Group of answer choices 4.8% Information is insufficient 5.3% 5%
- An aggressive investment in Industry 4.0 next-generation technology has the potential to save your company $7M if it is very successful, or $3M if it is moderately successful, but it will cost $2M if it fails. The relative risk for the project is $1.25M. The company has a risk tolerance of $1 million and has assigned a utility value of .777 based on an exponential utility function for this investment. What is the value of a safe investment that the company would just as soon choose rather than investing in the IT project? A. $2M B. $1.5M C. 52.75 D. $1.25MA ten-year term insurance is be issued to a life aged 50. The sum insured is $200,000 and payable immediately upon death. Premium payments are annual in advance. a) Using the SOA Standard Ultimate Life Table at i = 5% and UDD, compute the net annual premium determined by the equivalence principle. b) Find the probability that this contract makes a profit. c) Compute the gross premium determined by the equivalence principle if the initial expense is $500 plus 10% of the first premium, and if there is a renewal expense of 2% of the annual premium payment for the second and all subsequent premium payments.You plan to invest $1,000 in a corporate bond fund or in a common stock fund. The following table represents the annual return (per $1,000) of each of these investments under various economic conditions and the probability that each of those economic conditions will occur. Compute the expected return for the corporate bond and for the common stock fund. Show your calculations on excel for expected returns. Compute the standard deviation for the corporate bond fund and for the common stock fund. Would you invest in the corporate bond fund or the common stock fund? Explain. If choose to invest in the common stock fund and in (c), what do you think about the possibility of losing $999 of every $1,000 invested if there is depression. Explain.
- I am in possession of two coins. One is fair so that it lands heads (H) and tails (T) with equal probability while the other coin is weighted so that it always lands H. Both coins are magical: if either is flipped and lands H then a $1 bill appears in your wallet, but when it lands T nothing happens. You may only flip a coin once per period. The interest rate is i per period. You are risk-neutral and thus only concern yourself with expected values (and not variance). For simplicity, in the questions below assume you will live forever. Suppose now that I also do not know which coin is fair and which is weighted. You pick one of the two coins at random. (a) What is your willingness to pay for this coin? (b) What is your willingness to pay for an option* to purchase the coin, where the option works as follows: you may flip the coin once and observe the outcome. Then, if you wish, you may purchase the coin from me for the amount you determined in part 4(a). *The owner of an option has…I am in possession of two coins. One is fair so that it lands heads (H) and tails (T) with equal probability while the other coin is weighted so that it always lands H. Both coins are magical: if either is flipped and lands H then a $1 bill appears in your wallet, but when it lands T nothing happens. You may only flip a coin once per period. The interest rate is i per period. You are risk-neutral and thus only concern yourself with expected values (and not variance). For simplicity, in the questions below assume you will live forever. 1. How much are you willing to pay for such a coin that you know is fair? 2. How much are you willing to pay for such a coin that you know is weighted? 3. I currently own the coins and know which is fair and which is weighted, but you cannot tell which is which. You may make an offer to purchase a coin of your choosing, which I am free to accept or reject. What is the most you are willing to offer? Explain how you arrived at this answer. 4. Suppose now…Required Return If the risk-free rate is 3 percent and the risk premium is 5 percent, what is the required return?