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- It is now January. The current annual interest rate is 6.6%. The June futures price for gold is $1658.30, while the December futures price is $1,666. Assume the June contract expires in exactly 6 months and the December contract expires in exactly 12 months. a. Calculate the appropriate price for December futures using the parity relationship? (Do not round intermediate calculations. Roun your answer to 2 decimal place.) Price for December futures b. Is there an arbitrage opportunity here? Yes O NoA Euro futures contract expires in 66 days. The interest rates are i$=6.1% and i€=1.1% respectively. The current spot rate is $1.02/€. Assume 360 days a year. Then the futures's price is $_________/ϵ (Keep four decimal places.)A Euro futures contract expires in 82 days. The interest rates are i$=6.2% and i€=3.0% respectively. The current spot rate is $1.07/€. Assume 360 days a year. The the futures's price is $_________/ϵ(Keep four decimal in your answer.)
- Consider a one-year interest rate swap with semi-annual payments, based on 30/360 day count convention. The term structure of LIBOR spot rates is given as follows: 6-month LIBOR at 7.2%, and 12-month LIBOR at 8.0%. What is the annualized fixed rate on the swap? A. 7.42%. B. 7.93% C. 7.84%. D. 7.56%.Assume that today's settlement price on a CME EUR futures contract is $1.1145/EUR. You have a long position in one contract. Your margin balance is currently of $2,763. The next three days' settlement prices are $1.1144, $1.1141, and $1.1148. Calculate the balance in the margin account after the third day due to dailly mark-to-market. The size of a futures contract on the euro is EUR125,000. Note: Enter your answer rounded to the nearest dollar. For example, if the calculated balance on the margin account after the third day of mark-to-market is $2,475.80, enter it as: 2476 or 2,476.Consider a plain vanilla interest-rate swap with an effective date of January 1 of year 1, notional amount of $100 million and quarterly payments. The reference rate is 3- month LIBOR. On January 1, the 3-month LIBOR is 3.5%, and 3-month Eurodollar futures maturing on June 30 and September 30 of year 1 are quoted as 96.0 and 95.8. Find the present value of the floating payment in the third quarter. A: $1,042,190 B: $1,055,386 C: $1,067,482 D: $1,075,903
- This morning (Day 0) you take a short position in a pound futures contract that matures in 3 days (Day 3). The future price is $1.9750 today. The contract size is £62,500 and its initial performance bond and maintenance bond are $2,430 and $1,830, respectively. a. (b) Assuming that the daily settlement prices are indicated below, how would the daily change in settlement future prices affect your account? Show the daily gain/loss and account balance. Day 0 1 2 3 Settlement 1.9750 1.9700 1.9815 1.9907 Total Gain/Loss Account Balance b. During this period, did you receive a margin call? If you did, on what day? c. At the end of Day 3, how much in total did you make/lose on this futures contract?Assume today’s settlement price on a CME EUR futures contract is $1.3130/EUR. You have a short position in one contract. Your performance bond account currently has a balance of $1,700. The next day’ settlement price is $1.3059. Calculate the balance of the account at the end of the day. (USD, no cents)Consider a plain vanilla interest-rate swap with an effective date of January 1 of year 1, notional amount of $100 million and quarterly payments. The reference rate is 3- month LIBOR. On January 1, the 3-month LIBOR is 3.0%, and 3-month Eurodollar futures maturing on June 30 and September 30 of year 1 are quoted as 96.6 and 96.2. Find the present value of the floating payment in the third quarter. $899,104 $915,322 $931,067 $946,482
- The futures contract for settlement in 4 months is trading at F0 = $6.35 and the cash market is trading at S1 = $6.42. The 4-month interest rate on a continuously compounded basis is 2 percent. What is the arbitrage trade that is available, the transactions and the arbitrage profit? Buy now at S1 with borrowed money and enter a short forward contract at Fo. At time T deliver the underlying, receive F0 and pay back the loan plus interest. Net profit is: $0.4200 Buy now at S1 with borrowed money and enter a short forward contract at Fo. At time T deliver the underlying, receive F0 and pay back the loan plus interest. Net profit is: $0.0280 Sell short S1 and invest proceeds at r and enter long a forward contract at Fo; at time T receive the underlying for F0, cover the short and also collect the principal plus from the bank. Net profit is: 0.1129Assume today’s settlement price on a CME EUR futures contract is $1.3144 per euro. You have a short position in one contract. EUR125,000 is the contract size of one EUR contract. Your performance bond account currently has a balance of $1,900. The next three days’ settlement prices are $1.3130, $1.3137, and $1.3053. Calculate the changes in the performance bond account from daily marking-to-market and the balance of the performance bond account after the third day. Required: Note: Do not round intermediate calculations. Round your answer to 2 decimal places.What is the implied nominal interest rate on a 6% semiannual 10-year U.S. T-notes ($100,000) futures contract that settled at 102- 280? Do not round intermediate calculations. Round your answer to two decimal places. 94.76 If interest rates increased by 3%, what would be the contract's new value? Enter your answer as a positive value. Use the rounded interest rate calculated above. Do not round any other intermediate calculations. Round your answer to the nearest cent. % $ 51759.24