Should Cachita buy a put on yen or a call on yen? What is Cachita's break-even price on the option purchased in part (a)? Using your answer from part (a), what is Cachita's gross profit and net profit (including premium) if the spot rate at the end of 90 days is ¥140/$?
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- A financial institution has just sold 1,000,000 6-month European call options on the Japanese yen. Suppose that the spot exchange rate is 0.80 cents per yen, the exercise price is 0.81 cents per yen, the risk-free rate on the US dollar is 2.5% per annum, the risk-free rate in Japan is 0.5% per annum, and the volatility of the yen is 10% per annum. Calculate the delta (D), gamma (G), vega (n), theta (Q), and rho (r) of the financial institutions' position. Interpret with an explanatory sentence the meaning of each of the calculations.A financial institution has just bought 4-month European call options on the Chinese yuan.Suppose that the spot exchange rate is 14 cents per yuan, the exercise price is 15 cents per yuan,the risk-free interest rate in the United States is 1.5% per annum, the risk-free interest rate in Chinais 3.5% per annum, and the volatility of the yen is 16% per annum. Calculate the gamma of thefinancial institution’s position. Check the accuracy of your gamma estimate for a 0.1 cent increasein yuan.5.ABC Company, a British company, expects to receive $10,000,000 in 30 days. It wants to hedge its foreign currency risk in the forward market. The forward price of the pound contract is 0.74 pounds/$. On the forward contract, which position will ABC least likely take? A. Long on the pound B. Long on the dollar C. Short on the dollar
- 4 Assume that Intel has net receivables of SGD1,500,000 in 90 days. The spot rate of the Singapore Dollar (SGD) is USD0.7300, and the Singapore interest rate is 12.00% per annum and US interest rate is at 10.00% per annum. Suggest how the U.S. firm could implement a money market hedge. (Show your strategy and workings).(a) Steven Kurakiis a foreign exchange trader at Goldman Sachs in Tokyo. He is exploring covered interest arbitrage possibilities. He wants to invest $5,000,000or its yen equivalent in a covered interest arbitrage between US dollars and Japanese yen. He faced the following exchange rate and interest rate quotes. Is covered interest arbitrage profit possible in 180 days? If so, how? Assuming there are 360 days a year. Spot rate (yen/$)118.6 Annual forward rate (yen/$)117.8 Annual US dollar interest rate4.8% Annual Japanese yen interest rate3.4% b. Steven Kuraki observes that the yen/$ spot rate has been holding steady and that both dollar and yen interest rates have remained relatively fixed over the past week. Steven wonders if he should try an uncovered interest arbitrage and thereby save the cost of forwarding cover. Many of Steven’s research associates and their computer models are predicting the spot rate to remainclose to yen118/$ for the coming 180 days. Using the same…4. Suppose, the INR65.4015/USD in the FX Market. The selling price of the basic SONY LED TV is USD 75 in US, while in India the same TV is sold for 5,300 INR. What should be the forward rate USD/INR to valid the PPP? If the PPP is not valid what are the necessary steps to get the equilibrium in US and Indian markets?
- Calandra Panagakos works for CIBC Currency Funds in Toronto. Calandra is something of a contrarian—as opposed to most of the forecasts, she believes the Canadian dollar (C$) will appreciate versus the U.S. dollar over the coming 90 days. The current spot rate is $0.6750/C$. Calandra may choose between the following options on the Canadian dollar. Option Strike Price Premium Put on C$ $0.7000 $0.00003/S$ Call on C$ $0.7000 $0.00049/S$ Should Calandra buy a put on Canadian dollars or a call on Canadian dollars? What is Calandra’s break-even price on the option purchased in part (a)? Using your answer from part (a), what is Calandra’s gross profit and net profit (including premium) if the spot rate at the end of 90 days is indeed $0.7600? Using your answer from part (a), what is Calandra’s gross profit and net profit (including premium) if the spot rate at the end of 90 days is $0.8250?5. A U.S. firm expects a receivable (cash inflow) of €1,000,000 in six months. The current exchange rate is $1.125/€. Firm wants to sell euros in six months (to convert the inflow into dollars). Consider 3 possible spot prices in six months. 1. $1.195/€ 2. $1.100/€ 3. $1.025/€ What kind of option, put or call, is appropriate to hedge with? In each scenario, what is the total amount of the firm's NET receivable? NET receivable implies you should consider the receivable as well as the hedging costs of buying the option. (Assume an option exercise price of $1.130/€ and option premium of $.016/€) | 1. 2. 3.4.ABC Company, a British company, expects to receive $10,000,000 in 30 days. It wants to hedge its foreign currency risk in the forward market. The forward price of the pound contract is 0.74 pounds/$. What foreign currency risk is ABC most likely trying to hedge by entering the forward market? A. The pound increasing in value over the next 30 days B. The dollar increasing in value over the next 30 days C. The pound increasing in value after 30 days.
- Q1 Consider the option on currency HKD against the USD: • Current spot rate is HKD7.50 for 1 USD • Risk-free HKD rate of interest is 5% p.a. • Risk-free USD rate of interest is 2% p.a. • Volatility (σ) of the currency returns is 20% p.a. • Maturity of the option is 3 months. • Strike rate of the option is HKD8.00 for 1 USD • The currency options are European in nature Answer the following questions. (i) How much does it cost to hold (i.e., buy) a call-HKD option? Use the Garman Kohlhagen model.Q1 Consider the option on currency HKD against the USD: • Current spot rate is HKD7.50 for 1 USD • Risk-free HKD rate of interest is 5% p.a. • Risk-free USD rate of interest is 2% p.a. • Volatility (σ) of the currency returns is 20% p.a. • Maturity of the option is 3 months. • Strike rate of the option is HKD8.00 for 1 USD • The currency options are European in nature Answer the following questions. (i) How much does it cost to hold (i.e., buy) a call-HKD option? Use the Garman Kohlhagen model. (ii) What is the minimum terminal exchange rate for the holder of the call-HKD option to profit from holding the currency option? (iii) How much does it cost to hold (i.e., buy) a put-HKD option? Do not use the Garman Kohlhagen model.Assume that the Japanese yen is trading at a spot price of 92.04 cents per 100 yen. Further assume that the premium of an American call (put) option with a strike price of 93 is 2.10 (2.20) cents. Calculate the intrinsic value and the time value of the call and put options.