A rice importer is going to sell rice in one year. In order to lock in a fixed selling price, the importer buys a put option and sells a call option on each ton of rice, each with the same strike price and the same one-year expiration date. The current price of rice is 360 per ton, and the net premium that the importer pays now to lock in the future price is 12 per ton. The continuously compounded risk-free interest rate is 6%. Calculate the fixed selling price per ton of rice one year from now.

A rice importer is going to sell rice in one year. In order to lock in a fixed selling price, the importer buys a put option and sells a call option on each ton of rice, each with the same strike price and the same one-year expiration date. The current price of rice is 360 per ton, and the net premium that the importer pays now to lock in the future price is 12 per ton. The continuously compounded risk-free interest rate is 6%. Calculate the fixed selling price per ton of rice one year from now.

EBK CONTEMPORARY FINANCIAL MANAGEMENT

14th Edition

ISBN:9781337514835

Author:MOYER

Publisher:MOYER

Chapter22: International Financial Management

Section: Chapter Questions

Problem 2P

See similar textbooks

Similar questions

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?
Suppose for simplicity that the price of frozen concentrated orange juice is currently at $1000 per 10-pound contract and an investor who holds 10 pounds of FCOJ wishes to temporarily hedge her exposure to market risk. Assume that the cost of storing 10 pounds of FCOJ comes to $20 per year, and, for simplicity, all costs are paid at year-end and the risk-free interest rate is 1%. (a) Calculate the appropriate Futures price for a 10-pound FCOJ contract using Spot-Futures Parity. (b) Assume that the futures price for year-end delivery of the FCOJ contract is $1,010 (the parity is violated). Show how an investor can make arbitrage profits.
Suppose that you trade a forward contract today that matures after one year. The forward price is $105 and the simple interest rate is 7 percent per year. If after six months from today, the spot price is going to be $125 and the value of the forward contract is $20, the arbitrage profit that you can make today by trading one forward contract and other securities is?
Suppose that the current spot price of corn is $720 per bushel. The one year risk-free rate is 6% per annum. The futures price for delivery of one bushel of corn in one year’s time is $792 per bushel. Assume that net costs (storage costs minus convenience yield) are $15 per bushel (over the next one year). Is the futures contract correctly priced? If not, what is the theoretically correct price for the futures contract and how could you take advantage of any mispricing? Please show full steps and explain.
The market price of a security can be modelled by assuming that it will either increase by 25% or decrease by 15% each month, independently of price movement in other months. No dividends are payable in the next two months. The continuously compounded monthly risk-free rate of interest is 1%. The current market price of the security is 127. a.) Use the binomial model to calculate the value of a two-month European put option on the security with strike price of 125. b.) Calculate the value of a two-months American put option on the same security with the same strike price. c.) Calculate the value of a two-months American call option on the same security with the same strike price.
Consider a one-step binomial model over a 3-month period. The current asset price is $100. In 3 months, the asset price will increase by 8% with probability 70% and decrease by 5% with probability 30%. The risk free interest rate is 1% per year with continuous compounding. What's the price of a 3-month at-the-money European call option? Keep 2 digits after the decimal point. Do not include $ sign in your answer.
An investor buys a ($1000 FV) Treasury Strip security with 11 years to maturity at a yield of 5.1%. Two years later the yield to maturity on the strip is 4.0% and the investor decides to sell. What is the compounded annual rate of return on the investment over the investment horizon? For simplicity assume all yields in the question are quoted with annual compounding. Enter your answer as percent to two decimal places, but do not include the % sign.
An asset currently costs $432. The risk-free rate in the economy is 2.8% per year. What should be the price of a newly-created futures contract on this asset if the futures contract matures in 8 months? Round to the nearest penny. the answer should be 440.03. How do you get that?
You attempt to finance a 10-year guaranteed investment contract (GIC). The paymentmade by policyholder is $100 million. Suppose the promised annual interest rate of theGIC is 5%. The bond you want to use is a 15-year, 5% annual coupon rate bond (semiannually paid). Its face value is $100 million and you bought at par. Suppose the newinterest rate in the life of GIC stay constantly at 6%. Answer the following questions:(1). What is the promised payment of the GIC?(2). Calculate the total return of the investment.
You are considering an investment in a 40-year security. The security will pay $25 a year at the end of each of the first three years. The security will then pay $30 a year at the end of each of the next 20 years. The nominal interest rate is assumed to be 8%, and the current price (present value) of the security is $360.39. Given this information, what is the equal annual payment to be received from Year 24 through Year 40 (for 17 years)?
The British pound (£) is currently worth 1.45 euros (€). This can either increase by u = 1.1 or decrease by d = 0.9 over each 4 months. Consider a European call option with a strike price of K = 1€ per £ and time-to-maturity T = 8 months. The continuously compounded risk-free rate in Britain is 4% per annum and in Europe is 10% per annum. What is the price of the European call option today? Please explain your answer using your own words and show your workings. In addition, if the option was American-style would the risk-neutral probability of an up-move be smaller than, equal to or greater than the one you have calculated? Explain why using your own words.
The British pound (£) is currently worth 1.45 euros (€). This can either increase by u = 1.1 or decrease by d = 0.9 over each 4 months. Consider a European call option with a strike price of K = 1€ per £ and time-to-maturity T = 8 months. The continuously compounded risk-free rate in Britain is 4% per annum and in Europe is 10% per annum. What is the price of the European call option today? Please explain your answer using your own words and show your workings. In addition, if the option was American-style would the risk-neutral probability of an up-move be smaller than, equal to or greater than the one you have calculated?