Work out the value of European Call on a risky asset A, currently selling at $600. The European Call has a term to maturity of 1.5 years and a strike price of $675. SD(dA/A), the volatility of returns on the risky asset is 18% per year, and the discrete risk-free rate is 0.9% per year
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- An asset has a current price of $10 and has volatility of 0.35. The exercise price in 9 months is $13. The US continuous risk free rate (r^f ) is 5.5% while the Philippine continuous risk-free rate (r^d ) is 6.5%. The value of the call option and put option would be?Kk201. An asset produces $150 in two years, and $250 in four years, and the current price has been calculated toreflect a rate of return of 9% annually. Using the definition that convexity = second derivative of pricedivided by price, find the convexity of this asset evaluated at the annual yield rate of 9%.1. Suppose a financial asset, ABC, is the underlying asset for a futures contract with settlement of 6 months from now. You know the following about this financial asset and futures contract in the cash market ABC is selling for $80; ABC pays $8 per year in two semiannual payments of $4, and the next semiannual payment is due exactly 6 months from now; and the current 6month interest rate at which funds can be loaned or borrowed is 6%. a) Compute for the profit for the transaction? b) What is the theoretical (or equilibrium) futures price? c) What action would you take if the futures price is $837 d) What action would you take if the futures price is $76? SHOW SOLUTIONS PLEASE DONT USE MSEXCEL
- 5 Consider an asset with current price 26 that provides income 0.50 in 3 months time. The price of a 6-month European call on the asset with strike 24 is ct = 1.75 and the risk free rate is4.5% for all maturities.(i) Show that there is an arbitrage opportunity.(ii) Construct an appropriate arbitrage portfolio to take advantage of the situation and determine the profit per call option used.A proposed project which requires an investment of R10,000 (now) is expected to generate a series of five payments in constant rands. It begins with R6,000 at the end of first year but increasing at the rate of 5% per year thereafter. Assume that the average inflation rate is 4% and the market interest rate is 11% during this inflationary period. What is the equivalent present worth of this investment?Raysut cement has taken up a new project with an initial investment of 125000 OMR.The expected future cashflow from the project over the next three years will be 57000 OMR, 55000 OMR and 65000 OMR.What is the profitability index if the discount rate is 15 percent? Select one: a. 1.04 b. 1.23 c. 1.12 d. None of these e. 1.07
- Q1 A long forward contract on a commodity that was negotiated some time ago will expire in 1 months and has a delivery price of $70. The current spot price of the commodity is $59. The risk-free interest rate (with continuous compounding) is 0.09. What is the value of the long forward contract? Q2 A short forward contract on an investment asset that yields 0.08 and was negotiated some time ago will expire in 4 months and has a delivery price of $50. The current spot price of the commodity is $48. The risk-free interest rate (with continuous compounding) is 0.02. What is the value of the short forward contract? Q3 A long forward contract on a commodity that was negotiated some time ago will expire in 2 months and has a delivery price of $76. The current spot price of the commodity is $66. The risk-free interest rate (with continuous compounding) is 2.2%. What is the value of the long forward contract?On the London Metals Exchange, the price for copper to be delivered in one year is $5,820 a ton. (Note: Payment is made when the copper is delivered.) The risk-free interest rate is 2.00% and the expected market return is 8%. a. Suppose that you expect to produce and sell 10,000 tons of copper next year. What is the PV of this output? Assume that the sale occurs at the end of the year. (Do not round intermediate calculations. Enter your answer in millions rounded to 2 decimal places.) b-1. If copper has a beta of 1.28, what is the expected price of copper at the end of the year? (Do not round intermediate calculations. Round your answer to 2 decimal places.) b-2. Assume copper has a beta of 1.28. What is the certainty-equivalent end-of-year price?B. J. Gautney Enterprises is evaluating a security. One-year Treasury bills are currently paying 2.9 percent. Calculate the investment's expected return and its standard deviation. Should Gautney invest in this security? Probability Return0.15 -3%0.30 2%0.40 4%0.15 6% The investment's standard deviation is _______ % . round to two decimal places
- Let the current asset price be 100 dollars and atter time T, the price either goes up to 110 dollars or down to 91 dollars. Suppose the risk-free interest rare is 0.1. Assume a risk-neutral world setting. Calculate the probability of up movement for T = 0.5 years.An analyst has the following projected free cash flows for an investment: Year 1: $125,050; Year 2: $137,650; Year 3 to15: $150,000 a year; Year 16 to 20: $200,000 a year. The investment is expected to have a terminal value of $500,000 at the end of Year 20. If the analyst has estimated a present value of $3 millions for the investment, what is the discount rate that she/he has used in calculations. A. % 1.37 B. % 1.78 C. % 2.12 D. % 3.25Assume that You are risk manager at ABC Investment. ABC Investment lends 100.000.000 USD for 330 day and borrow 80.000.000 EUR to finance a new project for 180 day. Nowadays investors expect high volatility in FX and want to hedge itself. Find forward rate using exchange and interest rates below USD/TL: 5,8725/5,9850 EURO/TL: 6,6700/6,7250 USD faiz oranı: 4,50/5,00 EURO Faiz Oranı: 6,25/7,50 TLLIBOR: 12,25/14,00
