a) What will be the agreed rate if you enter an FRA agreement with this dealer? Explain your answer. b) Assuming the reference rate on the settlement date is 10 per cent, which party to the FRA is required to make a payment and why? c) Calculate the compensation amount on the settlement date. Show all calculations. d) List and briefly explain two advantages and two disadvantages of FRAs.
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- Del Hawley, owner of Hawleys Hardware, is negotiating with First City Bank for a 1-year loan of 50,000. First City has offered Hawley the alternatives listed here. Calculate the effective annual interest rate for each alternative. Which alternative has the lowest effective annual interest rate? a. A 12% annual rate on a simple interest loan, with no compensating balance required and interest due at the end of the year b. A 9% annual rate on a simple interest loan, with a 20% compensating balance required and interest due at the end of the year c. An 8.75% annual rate on a discounted loan, with a 15% compensating balance d. Interest figured as 8% of the 50,000 amount, payable at the end of the year, but with the loan amount repayable in monthly installments during the yearMicrosoft corporation wants to reduce its interest rate exposure and will need to borrow $1,000,000 in six months' time for a 6-month period. The interest rate at which it can borrow today is 6-month LIBOR plus 0.5 percent. Let us further assume that the 6-month LIBOR currently is at 0.89465%, but the company’s treasurer thinks it might rise as high as 1.30% over the forthcoming months.The treasurer choses to buy a 6x12 FRA in order to cover the period of 6 months starting 6 months from now. He receives a quote of 0.95450% from his bank and buys the FRA for 1,000,000 $ on April 8th.Characteristics of the FRA known on trade date:Trade date 08/04/2019Spot date (t+2) 12/04/2019Fixing date 10/10/2019Settlement date 12/10/2019Maturity date 12/04/2020 Contract period: 182 daysFRA rate 0.95450% On the fixing date (October 10th, 2019), the 6-month LIBOR fixes at 1.26222, which is the settlement rate applicable for the company's FRA. a) Calculate and interpret the interest differential, did the…Tango Bank has contracted to lend $80 million to Delta Co. in three months’ time. This loan will be for a period of six months. To hedge against the risk of interest rates dropping, Tango has purchased an interest rate put option. The put option has an exercise rate of 2.15% and a maturity of three months. The underlying forward rate is based on the LIBOR, which has a current term structure of # days LIBOR 90 2% 270 2.3% The terms of the LIBOR specify 30 days in a month and 360 days in a year. The volatility on the underlying forward rate is 0.25. Tango uses the Black Model to estimate the call premium. c. Hindsight being 20-20, should Tango have purchased the put option?
- Tango Bank has contracted to lend $80 million to Delta Co. in three months’ time. This loan will be for a period of six months. To hedge against the risk of interest rates dropping, Tango has purchased an interest rate put option. The put option has an exercise rate of 2.15% and a maturity of three months. The underlying forward rate is based on the LIBOR, which has a current term structure of # days LIBOR 90 2% 270 2.3% The terms of the LIBOR specify 30 days in a month and 360 days in a year. The volatility on the underlying forward rate is 0.25. Tango uses the Black Model to estimate the call premium. b. Suppose that in three months’ time, the six-month LIBOR turns out to be 2%. What is the annualized rate of return on Tango’s position with the put option?Tango Bank has contracted to lend $80 million to Delta Co. in three months’ time. This loan will be for a period of six months. To hedge against the risk of interest rates dropping, Tango has purchased an interest rate put option. The put option has an exercise rate of 2.15% and a maturity of three months. The underlying forward rate is based on the LIBOR, which has a current term structure of # days LIBOR 90 2% 270 2.3% The terms of the LIBOR specify 30 days in a month and 360 days in a year. The volatility on the underlying forward rate is 0.25. Tango uses the Black Model to estimate the call premium. d. Tango could also have used a forward rate agreement (FRA) to hedge its future lending rate. What are the similarities and differences between interest rate option and FRA?A bank is considering using a “three against six” $2,000,000 FRA to cover its potential loss. The purpose of the FRA is to cover the interest rate risk caused by the maturity mismatch from having made a six-month Eurodollar loan and having accepted a three-month Eurodollar deposit. The agreement rate with the buyer is 4.6%. There are actually 92 days in the three-month FRA period. Assume 360 days a year, which one of the following statements is incorrect? Group of answer choices To hedge the risk caused by maturity mismatch, the bank could take the buyer’s position if it uses the Euro-Dollar Interest Rate Futures instead. If the settlement rate is 4.8% three months from today, then the buyer pays the seller. If the settlement rate is 4.8% three months from today, then the FRA is worth $1009.84 To hedge the loss caused by maturity mismatch, the bank should be a seller of the FRA. Without the FRA, the bank will lose if the market interest rate…
- ABC is inclined to take a bank loan that has a face amount of P5,000,000, a term of 6 months, interest of 10%, and required compensating balance of P700,000. How much is the simple effective annual interest of the loan? Should ABC accept this loan if another loan has similar terms but has a simple effective cost of 11%?A company is due to receive €2,500,000 two-months from today and wishes to save the funds for three months. Money market interest rate spreads for short-term euro transactions are presented in the table below. Money Market Euro Interest Rate Spreads (%) 1 month 2 months 3 months 4 months 5 months 6 months 0.20 - 0.25 0.28– 0.33 0.35 – 0.40 0.45 – 0.56 0.60 – 0.67 0.75 – 0.83 A bank is willing to offer the company a forward rate agreement (FRA), incorporating a forward rate fixed at the level calculated in part a). When the money is received, the €LIBOR rate is 0.35%. Calculate and explain the terms on which the FRA is settled.ABC is inclined to take a bank loan that has a face amount of P5,000,000, a term of 6 months, interest of 10%, and required compensating balance of P700,000. Compute for the following: 1. How much is the simple effective annual interest of the loan? 2. Should ABC accept this loan if another loan has similar terms but has a simple effective cost of 11%?
- The financial manager of Town Ltd is concerned about the volatility of interest rates. His company needs to borrow $ 100million in 6 months time for a period of 2 years. Current interest rates are 15% per year for the type of loan that Town Ltd needs. The financial manager does not wish to pay an interest rate higher than this. He is considering using different alternatives. For the following four alternatives, explain how each could be useful to the financial manager; I). Forward rate agreement II). Interest rate futures III). Interest rate options IV). Interest rate swapsSuppose that over the next year, one of three things could happen to a company's credit rating. It could remain investment grade, drop to non-investment grade or default. The value of a credit derivative that pays $100 in 1-year if the company's credit rating remain investment grade is $93. The value of a credit derivative that pays $200 in 1-year if the company's credit rating drops to non-investment grade is $7. The value of a credit derivative that pays $300 in 1-year if the company defaults is $6. Calculate the risk-free rate and the risk-neutral probability of default. (answers to 4 decimal places)In exchange for a $400 million fixed commitment line of credit, your firm has agreed to do the following: 1. Pay 1.96 percent per quarter on any funds actually borrowed.2. Maintain a 5 percent compensating balance on any funds actually borrowed.3. Pay an up-front commitment fee of .24 percent of the amount of the line. Based on this information, answer the following: a. Ignoring the commitment fee, what is the effective annual interest rate on this line of credit? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)b. Suppose your firm immediately uses $226 million of the line and pays it off in one year. What is the effective annual interest rate on this $226 million loan? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)