Suppose the asking price for a certain stock is $75 per share, the bid price is $74 per share, the fee for buying or selling a share or a forward contract is $2 per transaction, the continuously compounded lending rate is 3% per year, and the continuously compounded borrowing rate is 4% per year. Find the interval of no-arbitrage prices for a six-month
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- Suppose investors can earn a return of 1.9% per 6 months on a Treasury note with 6 months remaining until maturity. The face value of the T-bill is $10,000. What price would you expect a 6-month maturity Treasury bill to sell for? (Round your answer to 2 decimal places.)Suppose that a 10-year T-note is purchased with a face value of $20,000 and a coupon rate of 3.4% (a) What is the total return of this investment? (b) What is the average rate of retum? (a) The total return is $ (Simplity your answer.) (b) The average rate of return is%. (Simplify your answer. Round to two decimal places as needed.)Consider this 5-year CDS. Assume payments are made annually in arrears. Assume that default, if it happens, always happens exactly halfway through a year. Assume that the expected recovery rate is 42%. Assume that the Treasury-Spot curve is flat at 3% with continuous compounding. The Hazard rate for the reference entity is 22.35% each year. Assume Notional Principal = $102,000,000. What is the present value of the expected premium payment in year 4 expressed in terms of s?
- The price of a stock is currently $200 per share. It'll pay a dividend of $0.85 every 3 months (the next dividend will occur 3 months from now). 3-month and 5-month risk free interest rates are 0.2% and 0.25%, respectively. All rates are annual rates with continuous compounding. What should be the delivery price of a 5-month forward contract so that the contract is of zero cost? Keep 2 digits in your final answer. Do not include $ sign.Suppose that a company defaults always happen halfway through a year and that payments on its credit default swap (CDS) are made once a year, at the end of each year. Suppose that the risk-free rate is 3% per annum with continuous compounding, the recovery rate is 30% and the default probability of the company in the CDS is 2% in any year conditional on no earlier default. What is the credit default swap spread in a three-year swap in basis points?Consider a forward contract which allows you to buy/sell a non-dividend paying stock in three months. Assume the current stock price is $99.41 and the three-month risk free interest is 5.4 percent per year. What should be the forward price? Keep your answer to two decimal places.
- Can you explain step by step how you get $1,104.23 by plugging in the numbers and using the formula below?: Given: Coupon rate (6.55%), maturity (15 years), purchase YTM (6.15%). Adjust coupon and maturity for semi-annual periods: Coupon per period = 6.55% / 2 = 3.275%. Number of periods = 15 years * 2 = 30 periods. Use the bond pricing formula: Price = (Coupon * (1 - (1 + YTM/2)^-Number of periods)) / (YTM/2 + (1 + YTM/2)^-Number of periods) Plug in the values: Price ≈ $1,104.23.Suppose an investor purchases $114,000 of TIPS with a 6.14% coupon rate and 12 years until maturity. How much with the second coupon payment be if the level of CPI adjusts to the levels below? Today 6 months from now 12 months from now 18 months from now 228 246.2 256.1 265.5Suppose that the 9-month and 12-month LIBOR rates are 4% and 4.2%, respectively. What is the value of an FRA where 5% is received and LIBOR is paid on £1 million for the quarterly period? All rates are quarterly compounded and expressed as per annum. Assume that LIBOR is used as the risk-free discount rate. Select one: a. £478.115 b. £422.870 c. £479.062 d. £426.132
- Suppose that initially a share price is £80 and each month thereafter either increases by 1% or decreases by 1%. Interest is compounded continuously at rate 6% per year. Calculate the no-arbitrage price of ten thousand European call options with strike price £98 and expiry date two years.Assume that the real interest rate is 2% per year, the default risk premium is 3%, the liquidity premium is 1%, and the maturity risk premium is 2%. Additionally, expected inflation is 2% next year, 5% the year after, and 3% from then on. What is the nominal interest rate over a 10-year period?Suppose investors can earn a return of 4.5% per 6 months on a Treasury note with 6 months remaining until maturity. The face value of the T-bill is $10,000. What price would you expect a 6-month-maturity Treasury bill to sell for?