D6 Suppose the ASX200 Index is currently at 7,406, the expected dividend yield on the index is 2 percent per year, and the risk-free rate is 0.35%. Using the current price of ASX200 futures contracts that expire in six months recommend a program trading strategy for buying or selling the futures?
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- The ASX200 index is currently sitting at 6458. The risk-free interest rate is 2% per annum. Exactly three months remain before the Nov-19 SPI200 futures contract expires. The SPI200 is quoted at 6410. This futures price implies that the dividend yield on the ASX200 market index is: The futures price tells us nothing about the dividend yield 2.00% 4.98% 2.48% 0.98%Question 3 The quoted futures price corresponds to a forward rate of 8% per annum with quarterly compounding and actual/360. The parameters for Black’s model are therefore: Fk = 0.08, K= 0.08, R= 0.075, σk = 0.15, tk = 0.75 and P(0,tk+1) = e-0.075*1 =0.9577 Use these information to estimate the call price.which one is correct please confirm? Q16: "If you purchase a $100,000 interest-rate futures contract for 105, and the price of the Treasury securities on the expiration date is 108" your profit is $3000 your loss is $3000 your profit is $8000 your loss is $8000
- Question 3 The quoted futures price corresponds to a forward rate of 8% per annum with quarterly compounding and actual/360. The parameters for Black’s model are therefore: Fk = 0.08, K= 0.08, R= 0.075, σk = 0.15, tk = 0.75 and P(0,tk+1) = e-0.075*1 =0.9577 Use these information to estimate the call price with mathematical formulars.Given the following quotes: FBM KLCI spot = 747 points, risk-free rate = 4.5% annualised, FBM KLCI dividend yield = 1.75% annualised. i) If the 90-day KLCI futures is quoted at 762 points, show that arbitrage is possible ii) Calculate the arbitrage profit if FBM KLCI is 10% higher by futures maturity.The S&P 500 spot price is $4,570. The futures price with 6-months delivery is $4,895. The risk-less rate of return for 6-months is 3.68%. You enter into ONE futures contract to deliver ONE index portfolio in 6-months and receive $4,895. Whatever profit you make, you transfer to today. How much $ profit will you have today? Hint: Borrowing money today and selling risk-less bonds are equivalent actions. Whatever $ profit you may make from the above transactions, you have to bring back to today by borrowing at the risk-less rate. Assume no transactions costs (you can borrow and lend at the risk-less rate etc.).
- 13. Assume Company AAA options have an exercise price of $45 and expire in 156 days. The current price of Company AAA stock is $44.375. The (annually compounded) risk-free rate is 7 percent per year and the standard deviation of Company AAA's stock returns is 0.31. Calculate d1 [Use the Black-Scholes formula].which one is correct please confirm? q10: "If you sell a $100,000 interest-rate futures contract for 105, and the price of the Treasury securities on the expiration date is 108" your profit is $3000 your loss is $3000 your profit is $8000 your loss is $8000D3). On January 20 2021 index is at 800 units. The variance of the index returns is 10% while the risk free interest rate is 2% annually (with compound interest). By using the Black Scholes model, calculate the market purchase rights in the index with exercising price 820 and maturity 1 month (30 days). N (d1) = 0.418 and N(d2) = 0.383. Calculate and choose one of the following: a. 17.1 b. 13.1 c. 21.1 d. 25.1
- Q5. Consider a six-month European put option on a non- dividend-paying stock. The current stock price is $100 and the strike price is $105. The risk-free rate is 10% per annum with semiannual compounding. A lower bound for the price of the European put option is $ _ If the put option were an American put option, a lower bound would be $_ Q6. The price of a European call that expires in six months and has a strike price of $50 is $2. The current underlying stock price is $50, and a dividend of $2 is expected in three months from now. The risk-free interest rate is 10% per annum with quarterly compounding. For the same stock, what is the price of a European put option with the same maturity and strike price? $ Q7. Suppose that c1, c2, and c3 are the prices of European call options on a particular stock with strike prices K1, K2, and K3, respectively, and that p1, p2, and p3 are the prices of European put options on the same stock with strike prices K1, K2, and K3, respectively, where K…The six-month S&P 500 futures index you are considering buying. The current value of the index is 940. The six-month interest rate is 6% and the expected dividend rate for the underlying stocks is 3% over that period. Ignoring all other factors, calculate today’s fair value for the six-month futureV7. A stock price is currently $232. It is known that at the end of seven months itwill be either $260 or $210. The risk-free interest rate is 3.5% per annum with continuouscompounding. hat is the value of a seven-month European put option with a strike priceof $240? Use no-arbitrage arguments.