Quality Investments has a $25 million portfolio with a beta of 1.4. The firm employs the E-mini Nasdaq-100 futures contract which has price of 11,866 and one contract is on $20 times the Nasdaq-100 index. How many contracts are necessary to reduce the beta to 0.8 (round your answer to the nearest whole number)?
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- You are currently long on a portfolio of stocks that has a beta of 1.60. Given recent uncertainties, you intend to reduce the portfolio beta to 1.20. Your portfolio currently worth RM2.8 million and FBM KLCI is at 800 points. Show how the objective can be achieved using SIF contracts.The manager of a well-diversified portfolio with a market value of $200 million that mirrors the S&P 500 wants to hedge the portfolio against a market decline in value over the next six months. The portfolio manager wants to use the Mini-S&P 500 contract for hedging. The contract multiplier for this futures contract is $50. The futures price for the contract at the date that the hedge is put on is 4,200. a. Should the portfolio manager buy or sell the futures contract. Explain why. b. How many contracts should the portfolio manager sell or buy? c. Suppose at the delivery date (six months from now), the value of the S&P 500 is 3,800. Show what the outcome for this hedge will be.Suppose that the value of the S&P 500 stock index is 2,000.a. If each E-mini futures contract (with a contract multiplier of $50) costs $25 to trade with a discount broker, how much is the transaction cost per dollar of stock controlled by the futures contract?b. If the average price of a share on the NYSE is about $40, how much is the transaction cost per “typical share” controlled by one futures contract?c. For small investors, a typical transaction cost per share in stocks directly is about 10 cents per share. How many times the transactions costs in futures markets is this?
- A company has a £10 million portfolio with a beta of 0.8 to the stock market. The futures price for a contract on the stock market is 500. Futures contracts can be traded with value equal to £10 multiplied by the futures price. What position should one take in order to completely hedge the market risk? a. Short 2000 contracts b. Long 2000 contracts c. Short 1600 contracts d. Long 1600 contractsDonna Doni, CFA, wants to explore potential inefficiencies in the futures market. The TOBEC stock index has a spot value of 185. TOBEC futures contracts are settled in cash and underlying contract values are determined by multiplying $100 times the index value. The current annual risk-free interest rate is 6.0%.a. Calculate the theoretical price of the futures contract expiring six months from now, using the cost-of-carry model. The index pays no dividends.The total (round-trip) transaction cost for trading a futures contract is $15.b. Calculate the lower bound for the price of the futures contract expiring six months from now.The S&P 500 futures price is 4372 and you have a portfolio of stocks valued at $20,000,000. Each futures contract is worth $250. If the portfolio moves exactly like the index, how many contracts do you need to hedge this portfolio and what is the implied beta?
- Suppose that Ace Insurance Company forecasts that stock market prices are going to increase considerably over the next three months and that they want to purchase500S&P 500 index futures contracts that have settlements that are six months out. If the index has a value of 3,000, and the value of a contract is 250 times the index’s value, then Ace Insurance Company will have invested $______ in the futures contracts.Suppose the 1-year futures price on a stock-index portfolio is 1,914, the stock index currently is 1,900, the 1-year risk-free interest rate is 3%, and the year-end dividend that will be paid on a $1,900 investment in the market index portfolio is $40.a. By how much is the contract mispriced?b. Formulate a zero-net-investment arbitrage portfolio and show that you can lock in riskless profits equal to the futures mispricing.c. Now assume (as is true for small investors) that if you short sell the stocks in the market index, the proceeds of the short sale are kept with the broker, and you do not receive any interest income on the funds. Is there still an arbitrage opportunity (assuming that you don’t already own the shares in the index)? Explain.d. Given the short-sale rules, what is the no-arbitrage band for the stock-futures price relation-ship? That is, given a stock index of 1,900, how high and how low can the futures price be without giving rise to arbitrage opportunities?A portfolio is currently worth $10 million and has a beta of 1.0. An index is currently standing at 800. Explain how a put option on the index with a strike of 700 can be used to provide portfolio insurance.
- A company has a $36 million portfolio with a beta of 1.2. The futures price for a contract on an index is 900. Futures contracts on $250 times the index can be traded. What trade is necessary to reduce beta to 0.9? A. Short 48 contracts B. Long 48 contracts C. Short 192 contracts D. Long 192 contractscompany has a $36 million equity portfolio with a beta of 0.9. The futures price on the S&P index for a contract delivering in 6 months is currently trading at 900. Futures contracts on $250 times the index can be traded. What trade is necessary to increase the beta to 1.2 over the next 4 months? O Long 48 futures contracts and close out the position in 4 months O Long 48 futures contracts and close out the position in 6 months O Short 48 futures contracts and close out the position in 4 months O Short 48 futures contracts and close out the position in 6 months O Short 192 futures contracts and close out the position in 6 monthsSweet Fields has an inventory of 12,320,000 pounds of sugar. The firm wants to place a hedge on this inventory. What should they do to hedge the position if the futures contracts are based on 112,000 pounds and quoted in cents per pound? Upon setup, the spot rate was 9.63. If the price of Sugar falls from 9.63 to 9.51 and the futures contract falls from 9.56 to 9.46; what would have been the result for Sweet Fields? $ What type of risk this this hedge experience?