You are given the following data on gold markets. What is the level of arbitrage profits that can earned? • Current spot price of gold = $1,275 • Futures price for a 1-year contract = $1,300 • 1-year risk free interest rate = 3% • Assume that there are no carrying costs or yield on buying/selling gold.
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You are given the following data on gold markets. What is the level of arbitrage profits that can earned?
• Current spot price of gold = $1,275
• Futures price for a 1-year contract = $1,300
• 1-year risk free interest rate = 3%
• Assume that there are no carrying costs or yield on buying/selling gold.
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- Suppose that the spot price of gold is US$1,700 per ounce. The quoted 1- year forward price of gold in the market is US$1,800, whereas it should have been $1,785. The 1-year US$ interest rate is 5% per annum. On the basis of the given information, answer the following: a) Is there an arbitrage opportunity? Why? b) If there is an arbitrage opportunity, show how will you exploit it? What will be the arbitrage profit? Hint: Recall that arbitrage means exploiting mispricing in the market to your advantage and any profit thus gained is risk-free. Use this understanding…The current price of gold is $300 per ounce. Carrying costs in total are 0.5% (not including interest) of the gold value payable in 6 months time. If the interest rate is 8%, is there an arbitrage opportunity if the gold futures price for delivery in six months is $310 per ounce? B. If an arbitrage opportunity exists, explain how you would conduct it and calculate the arbitrage profit. C. Why is it not possible in reality to perfectly hedge a portfolio using Options and/or futures Instruments? D. Explain the shortcomings of LTCM’s financial strategy that led to its eventual downfall.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?
- The current spot price of gold is $1200 per ounce. The riskless interest rate is 10% per annum. For simplicity, assume there are no storage/security costs of gold. a) What is the arbitrage-free forward price for the delivery of gold in 8 month's time?Consider a 6-months futures contract on gold. We assume no income and that $1 per ounce per 6-months to store gold, with the payment being made at the end of the period. The spot price is $1620 and risk free rate is 2% for all maturities. How can an arbitrageur earn profit is the price of 6-month gold futures is 1630$?Suppose the gold price is $300/oz., the 1-year forward price is 310.686, and the continuously compounded risk-free rate is 5%. a. What is the lease rate? b. Demonstrate a cash-and-carry strategy that provides the zero cash flow at time 0 and the maturity date. (You borrow to buy gold, sell the gold forward, and lend the gold, earning the lease rate.) c. What is the return on a cash-and-carry strategy in which gold is not loaned? (You borrow to buy gold and sell the gold forward.)
- Suppose a gold mining company has a short hedge on 1000 ounces of gold using futures contracts. The futures price at the initiation of the hedge was $1800 per ounce; however, 6 months later at the time of gold sale, the spot price is $1700 per ounce and the futures price is $1720 per ounce. What is the realized revenue of the gold from the short hedge? a. $1,720,000 b. $1,730,000 c. $1,740,000 d. $1,780,000Consider a 12-months futures contract on silver. Assume no income and that it costs $X per ounce per year to store silver, with payment being made at the end of the year. The spot price is $26 per ounce and the risk free rate is 4% per annum for all maturities, based on continuous compounding. The futures price of the 12-month futures contract on silver is $29 per ounce. Assume that no arbitrage Futures-Spot parity with storage costs holds. The storage cost per ounce per year ($X) is, a. $2.88 b. $1.86 c. $1.94 d. $3.00 e. $2.15An investor enters a short forward contract to sell 100 euros for dollars at exchange rate 1.3 dollars per euro. If the exchange rate at the end of contract is 1.29 dollars per euro, the dollar payoff is (a) −130 (b) − 1 (c) 0 (d) 1 (e) 130 And, The standard deviation of quarterly changes in oil price is 0.65, the standard deviation of quarterly changes in oil futures price is 0.81, and the correlation between the two changes is 0.8. The optimal hedge ratio for a 3-month futures contract is (a) 0.13 (b) 0.64 (c) 0.8 (d) 0.99 (e) 1.25
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