Spot price of silver is $26.36/oz and the quoted interest rate is 2.76% for 3 months. There are no storage or transaction costs, but borrowers have to pay 0.5% above the quoted rate. Determine the maximum possible no-arbitrage price for a 3-month futures contract on silver.
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- Consider 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. $2.152. Consider a 6% T-note with 1.5 years to maturity. Spot rates (expressed as semiannual yields to maturity) are: 6 months = 5%, 1 year = 6% and 1.5 years = 7%. If the note is selling for $992, compute the arbitrage profit and explain how a dealer would perform the arbitrage. Par value= 1,000In May 2012, a bank will issue a 4/7 FRA referenced to BBSW with a guaranteed rate of 4.5% p.a.. Bank bill futures for September 2012 delivery are priced at 95.75. Assume there are no transaction costs and no spread between FRA borrowing and lending rates, and 30-day months. i) Identify a strategy based on one futures contract which will yield an arbitrage profit, and ii) Demonstrate how this will be achieved and calculate the net gain (or loss) from this strategy if the 90-day bank bill rate turns out to be 6% in September 2012.
- 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?It is 1st January and you have an existing $10m floating rate US dollar bank deposit based on 90-day LIBOR. Current interest rate is 4% pa and there is a flat yield curve. The Eurodollar futures price on 1st January is F0 = 99. The next 2 interest rate reset dates on the deposit are the 15th February and the 15th May. The contract size for Eurodollar futures is $1m. How would you hedge this position on 1st January using Eurodollar futures contracts? Explain the outcome of the hedge if (all) yields fall to 3% pa on the 10th January and then fall to 2% pa on the 10th of May. What are the risks in the hedge?A short forward contract on a commodity that was negotiated some time ago will expire in 9 months and has a delivery price of $58. The current spot price of the commodity is $58. The risk-free interest rate (with continuous compounding) is 4.1%. What is the value of the short forward contract?
- Consider a contract that caps the LIBOR interest rate on $10,000 at 8% per annum (with quarterly compounding) for 3 months starting in one year. This is a caplet and could be one element of a cap. Suppose the LIBOR/Swap curve zero curves are flat at 7% per annum with quarterly compounding, and the volatility of The 3-month forward rate underlying the caplet is 20% per annum. What is the price of the caplet? O A. 5.19 O B. 6.84 OC. 4.43 O D.5.75Today is the 10th January 2023. You want to buy a Floating Rate Note (FRN) that matures on the 10th July 2027 and pays an annual coupon equal to LIBOR. Compute the fair price of the note. Use the data in Table 1. The LIBOR rate at selected dates are showed in Table 3. Please show your calculations. Discuss your result.A Credit Default Swap is structured like the one below for a protection of $100 million. If payments are made annually, what are the cash flows from A to B if there is a default after 2 years and 2 months and recovery rate is 40%? And what are the cash flows from B to A? 70 bps per year Default Default Protection Protection Buyer, A Seller, B Payoff if there is a default by reference entity=100(1-R)
- Consider a three-month futures contract on gold. The fixed charge is Rs.310 per deposit and thevariable storage costs are Rs.52.5 per week. Assume that the storage costs are paid at the timeof deposit. Assume further that the spot gold price is Rs.15000 per 10 grams and the risk-freerate is 7% per annum. What would the price of three month gold futures if the delivery unit is onekg? Assume that 3 months are equal to 13 weeksOne-year Treasury bills currently earn 3.45 percent. You expect that one year from now, 1-year Treasury bill rates will increase to 3.65 percent. The liquidity premium on 2-year securities is 0.05 percent. If the liquidity premium theory is correct, what should the current rate be on 2-year Treasury securities? (Do not round intermediate calculations. Round your answer to 2 decimal places.)Please answer fast in both questions