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- 4. Suppose that we can describe the world using two states and that two assets are available, asset K and asset L. We assume the assets' future prices have the following distributions:This calculation determines profitability or growth potential of an investment, expressed as a percentage, at the point where NPV equals zero A. internal race of return (IRR) method B. net present value (NPV) C. discounted cash flow model D. future value methodConsider the following contingent claim whose value at maturity date T is given by f(T,Sp) = min(Sr S;) where T, is some intermediate betweent (current time) and T (maturity date). Sr, and Sr denote the prices of the underlying asset at time To and time T respectively. We assume that the asset is non-dividend paying and its asset price satisfies dS; = uS,dt + oS,dW, with u = 0.05, a = 0.2. The riskfree interest rate is 6% per annum. Take t = 0, T, = 0.5 and T = 1.5. The current price of the asset is So = $25. (a) Calculate the price of the contingent claim at time Ta using replication technique. Express your answer in terms of ST.. (©Hint: The value of S, is known at time To. To find the price, treat T, as the "current time"). (b) Using the result of (a), find the current price of this contingent claim using risk neutral valuation principle
- 2. Given the following data, is there an Arbitrage? What is the Profit when St > K and St < K for the following two scenarios? a) When the price of the put is 2.5 b) When the price of the put is $0.5 SO = 31 r = 9% C = 3 T= 4months K = 30 D= 0The following payoffs are observed in frictionless markets: Dividend next period Price next period Price today Asset 1 9 138 P1 Asset 2 9 75 80 A. In the absence of arbitrage opportunities, p₁= 127. B. In the absence of arbitrage opportunities, p₁= 140. C. In the absence of arbitrage opportunities, p₁= 142. D. If arbitrage opportunities are absent, the rate of return on asset 1 equals 9%. E. None of the above.State ofEconomy Probabilityof State Return on AssetDin State Return on AssetEin State Return on AssetFin State Boom 0.35 0.060 0.310 0.25 Normal 0.50 0.060 0.180 0.20 Recession 0.15 0.060 -0.210 0.10 A. Calculate the expected return (mean) for each security.
- Capital asset pricing model (CAPM) For the asset shown in the following table, use the capital asset pricing model to find the required return. (Click on the icon here O in order to copy the contents of the data table below into a spreadsheet.) ne Risk-free Market rate, R return, rm Beta, b nts 4% 0.7 1% The required return for the asset is %. (Round to two decimal places.) eТext edia Librai ial Calculat er Resource Enter your answer in the answer box and then click Check Answer. Check Answer mic Study ules Clear All All parts showing 10: DExercise(14); ools > This course (Introduction to Finance (FIN-101-D02) Distance Spring 2021) is hased on Zutter/Smart Princinles of Managerial Finance Rrief Re 4/13 O Type here to search insertsheet. _is the excess of resources (usually cash) received or paid over the amount of resources 1. loaned or borrowed. 2. is the interest paid on both the principal and the amount of interest accumulated in prior periods. 3. Future value interest factor (FVIF) is represented by the formula 4. An installment that requires a buyer to pay equal payments at a certain period is called. 5. _means that individuals maximize returns for a given level of risk or minimize risk if the returns are the same. 6. The basic decision rule is to accept the project if the net present value is 7. If the cash flow stream lasts forever or is indefinite, then it is called 8. If payment is made and interest is computed at the end of each payment interval, then it is called 9. One way to reduce risk to an acceptable level is through wherein you invest in different types of investments with different risks and returns. 10. If the cash flow happens at the beginning of each period, then it is called.Use the following table to calculate the expected return from the asset. Return Probability 0.1 0.25 0.2 0.5 0.25 0.25 20.00% 18.75% 17.50% 15.00%
- The following payoffs are observed in frictionless markets: Dividend next period Price next period Price today Asset 1 4 84 80 Asset 2 5 105 P2 A. The rate of return on asset 2 equals 5%. B. In the absence of arbitrage opportunities, p2= 100. C. In the absence of arbitrage opportunities, the rate of return on asset 1 equals 8%. D. In the absence of arbitrage opportunities, p2= 110. E. None of the above.The information about asset X and Y are given as follows: Expected Standard Asset Return Deviation 10% 4% Y 15% 11% Correlation = -1 If it is possible to borrow at the risk-free rate, rf, calculate the following: Weight of Stock A: % (Round to two decimals) Weight of Stock B: % (Round to two decimals) Risk free rate: % (Round to two decimals)Given the assets: ri = r2 = and r3 = with q1 = 1, q2 = 1.5 and 93 2 respectively, compute the no arbitrage price of the asset r4 = 4r3 – 2r2 + r1.