Consider the toss of a (loaded) coin. In a "good" outcome, punter (bettor) will receive £1 in 12 months. In a "bad" outcome she will not receive anything. The fair market price of this bet is £0.45 and current prevailing risk-free interest rate is 5%. What is the implied probability of a "good" outcome? Assume continuous compounding. A) 0.4223 B) 0.4731 0.5269 0.5594
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- Q1-11 Suppose that a speculator notes that the current 3-month forward rate on the euro is $1.26 and the speculator expects that, in 3 months, the euro will have a value of $1.30. In this situation, the speculator would _______ euros on the forward market, and this activity ______ for the speculator. a. buy / involves risk b. buy / involves no possible risk c. sell / involves risk d. sell / involves no possible riskSuppose an investor sells 100 stocks by short selling for 6 months, the stock price is 30 yuan, and the annual interest rate of 6 months is fixed at 3%. How can I use forward contracts to avoid risks? What is the execution price? Please analyze if the stock price rises to 35 yuan or falls to 25 yuan after 6 months of hedging, what are the losses of this investor?Suppose an investor buys 300 stocks for 3 months, the stock price is 10 yuan, and the annual interest rate for 3 months is fixed at 5%. How can I use forward contracts to avoid risks? What is the execution price? Please analyze if the stock price rises to 15 yuan or falls to 8 yuan after 3 months of hedging, what are the losses of this investor?
- You are an investor in the world where short-selling assets is prohibited. Suppose that the price of asset X in period 0 is $200. This asset will pay a dividend of $8 one year from now in period 1. Let the riskless interest rate from 0 to period q be 5%.Assume the price for a future contract delivery in period 1 is $210. a) Can you make an arbitrage profit when $210 is the price? If so, state specifically what financial transaction? b) Now, assume the price for a futures contract with delivery in period 1 is K190. Can you make an arbitrage profit when this is the price? If so, state specifically what financial transaction you would make in 0 and period 1 to realize a profit. If not, explain?Later, Linda believes that futures contracts on currencies can offer a greater return than futures contracts on indices. Consider storing a 3-year futures contract at a cost of MYR 6 per unit. Assume that the risk-free rate is 6% per year for all maturities and that the current price is MYR 760 per unit. Estimate the predicted price in the future. What will Linda do if she is an arbitrageur, and the real future price is higher than the predicted future price?A European call that will expire in one year is currently trading for $3. Assume the risk-free rate (based on continuous compounding) is 5%, the underlying stock price is $60 and the strike price is $55. a. Is there an arbitrage opportunity? b. Describe exactly what a trader should do to take advantage of the arbitrage opportunity assuming it exists. c. Determine the present value of the profit that the trader can earn assuming you identify an arbitrage opportunity. Use at least four decimal places for those questions that require a numerical answer.
- Determine the risk-neutral value of a eight-month European put option to sell a FLB (First Local Bank) share for a price of R400 when the current price is R420, the interest rate is 10%, and the volatility of the security is 0.28? WITHOUT USING EXCELsuppose you buy an non-dividend paying asset at $50 and sell a 6 month futures contract at $53. What is your profit or lost at expiration if the asset price down to $47? current 6 month interest is 0.25% p.a. (Ignore carrying costs and transaction cost)? What happens to the basis through the contract's life? a.none of the above b.it initially decreases, then increases c.it initially increases, then decreases d.it moves toward zero at expiry e.it remains relatively steadyAssume that K=61, St =65, t = 0.25 (i.e. time to expiry is 3 months), and the risk-free rate is 0.04. The current price of the put option is p = 4. If the price of the call option is 7.17, describe the arbitrage that would be possible, and calculate the profit that would result.
- 1. A farmer enters a contract to sell her produce at a fixed price in the future and the future market price turns out to be five times as high as the agreed fixed price. The farmer regrets entering into the futures contract. This is an example of efficient risk sharing. question: true or false? 2. Sam-Bankman Fried is the founder of crypto currency exchange FTX. He raised US$420 million from an array of major investors in October 2021. When he pitched to clients, he usually was dressed in a t-shirt. Question: What you wear is not taken into account by professional investors. True or False? 3. “Cooped up at home by stay-at-home orders during the anxious early days of the pandemic, many people used their newfound free time and stimulus checks to pick up a new hobby. Some turned to fitness or learning to play an instrument, while others found a rather unhealthy and risky new side hustle: day trading. Inspired by stupendous returns posted on Reddit’s WallStreetBets and TikTok by random…What would be your dollar return had you purchased a single contract at the call premium when the SPY price was $464.72 and sold at the expected call premium if the underlying SPY price increased to $490 (do not round the forecasted premium)? Strike = 485, Last price = 4.64, Bid = 4.67, Ask = 4.72. The current price for SPY is $464.72. The implied volatility for this option is 11.23% per annum. The risk-free rate is 1% per annum.Determine the risk-neutral value for a European put option (for a FLB (First Local Bank) share) that expires in eight months. The strike price is R500 and the current price is R650. The interest rate is 11%, and the volatility of the security is 0.026. *DO NOT USE EXCEL OR ANY OTHER PLATFORM, SHOW STEP-BY-STEP CALCULATION