Concept explainers
A game of chance offers the following odds and payoffs. Each play of the game costs $200, so the net profit per play is the payoff less $200.
Probability | Payoff | Net Profit |
0.10 | $700 | $500 |
0.50 | 300 | 100 |
0.40 | 0 | –200 |
-
a-1. What is the expected cash payoff? (Round your answer to the nearest whole dollar amount.)
-
a-2. What is the expected rate of return? (Enter your answer as a percent rounded to the nearest whole number.)
-
b-1. What is the variance of the expected returns? (In the calculation, use the percentage values, not the decimal values for the
rates of return . Do not round intermediate calculations. Round your answer to the nearest whole number.) -
b-2. What is the standard deviation of the expected returns? (Enter your answer as a percent rounded to 2 decimal places.)
Trending nowThis is a popular solution!
Step by stepSolved in 2 steps with 2 images
- Present and Future Values of Single Cash Flows for Different Interest Rates Use both the TVM equations and a financial calculator to find the following values. (Hint: If you are using a financial calculator, you can enter the known values and then press the appropriate key to find the unknown variable. Then, without clearing the TVM register, you can "override" the variable that changes by simply entering a new value for it and then pressing the key for the unknown variable to obtain the second answer. This procedure can be used in parts b and d, and in many other situations, to see how changes in input variables affect the output variable.) Do not round intermediate calculations. Round your answers to the nearest cent. An initial $700 compounded for 10 years at 3%. $ An initial $700 compounded for 10 years at 6%. $ The present value of $700 due in 10 years at a 3% discount rate. $ The present value of $700 due in 10 years at a 6% discount rate. $arrow_forwardPlease help me with this problem. Thanksarrow_forwardSuppose that you have the following utility function: U=E(r) – ½ Aσ2 and A=3 Suppose that you have $10 million to invest for one year and you want to invest that money into ETFs tracking the S&P 500 (US) and S&P/TSX 60 (Canada) index, which are often used as proxies for the US and Canadian stock markets, respectively, and the Canadian one-year T-bill. Assume that the interest rate of the one-year T-bill is 0.35% per annum. You have found two ETFs that you are interested in. From a set of their historical data between 2001 and 2019, you have estimated the annual expected returns, standard deviations, and covariance as follows: ETFUS : E(r)= 0.070584 0.173687 ETFCDA : E(r)= 0.073763 0.16816 Covariance between ETFUS and ETFCDA = 0.02397 Answer the following questions using Excel: What is the optimal portfolio of ETFUS and ETFCDA? Also submit an Excel file to show your work.arrow_forward
- A game of chance offers the following odds and payoffs. Each play of the game costs $200, so the net profit per play is the payoff less $200. Probability Payoff Net Profit 0.30 $400 $200 0.60 300 100 0.10 0 –200 1. What is the expected cash payoff? Note: Round your answer to the nearest whole dollar amount. 2. What is the expected rate of return? Note: Enter your answer as a percent rounded to the nearest whole number. 1.What is the variance of the expected returns? Note: In the calculation, use the percentage values, not the decimal values for the rates of return. Do not round intermediate calculations. Round your answer to the nearest whole number. 2.hat is the standard deviation of the expected returns? Note: Enter your answer as a percent rounded to 2 decimal places.arrow_forwardQuestion 1. A call option with a strike price of $50 costs $2. A put option with a strike price of $45 costs $3. Explain how a strangle can be created from these two options. What is the pattern of profits from the strangle?arrow_forward20. What is X in the formula: FV = X(1+r) ? Select one: a. The future value of an annuity with X cash flows b. The present value of a single cash flow in one period's time c. The future value of a single cash flow in one period's time d. The present value of an annuity with X cash flowsarrow_forward
- Need Help With Section D & Sub Parts, Thank You!arrow_forwardam. 266.arrow_forward23. In a certain Lottery, yyou pay $5 and pick a number from 000 to 999. if your number comes up, you win $1000, which is a profit of $995. If you lose, you lose $5. Your probability of winning is o.001. Let x be the| profit. what is the expected value of your profit? a. $995 b. $0 c. -$4 d. $495 e. $990arrow_forward
- a. Find the present values of the following cash flow streams at an 8% discount rate. Do not round intermediate calculations. Round your answers to the nearest cent. 0 1 2 3 4 5 Stream A $0 $100 $350 $350 $350 $300 Stream B $0 $300 $350 $350 $350 $100 Stream A: $ Stream B: $ b. What are the PVs of the streams at a 0% discount rate? Round your answers to the nearest dollar. Stream A: $ Stream B: $arrow_forwarda. Find the present values of the following cash flow streams at a 6% discount rate. Do not round intermediate calculations. Round your answers to the nearest cent. 1 3 4 Stream A $0 $150 $400 $400 $400 $300 Stream B $0 $300 $400 $400 $400 $150 Stream A: $ Stream B: $ b. What are the PVs of the streams at a 0% discount rate? Round your answers to the nearest dollar. Stream A: $ Stream B: $arrow_forwardDetermine the present value of the following single amounts. Note: Use tables, Excel, or a financial calculator. Round your final answers to nearest whole dollar amount. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) 1. 2 3. 4. Future Amount $ $ $ $ 32,000 26,000 37,000 52,000 i= 5% 6% 11% 10% n = 11 19 40 13 Present Valuearrow_forward
- Essentials Of InvestmentsFinanceISBN:9781260013924Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.Publisher:Mcgraw-hill Education,
- Foundations Of FinanceFinanceISBN:9780134897264Author:KEOWN, Arthur J., Martin, John D., PETTY, J. WilliamPublisher:Pearson,Fundamentals of Financial Management (MindTap Cou...FinanceISBN:9781337395250Author:Eugene F. Brigham, Joel F. HoustonPublisher:Cengage LearningCorporate Finance (The Mcgraw-hill/Irwin Series i...FinanceISBN:9780077861759Author:Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan ProfessorPublisher:McGraw-Hill Education