What is the quarterly fixed rate payment

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Reference no: EM13680477

Q1: Pricing Interest Rate Swap

A. Price a plain vanilla one-year interest rate swap with quarterly settlements and $100 million notional principal. The current term structure of LIBOR is given in the table below. Use the 30/360 day count method.

B. What is the quarterly fixed rate payment?







Term structure of interst rates

Maturity



90 5.85%


180 5.85%


270 6.24%


360 6.65%







NP $100,000,000


Settlement period 90 days

Day count (30/360) 360 days





A. Fixed Rate    % per annum

B. Fixed Rate Payment   (in US dollar)

Q2: Interest swap value

ABC bank has agreed to receive 3-month LIBOR and pay 8% per annum on a notional principal of $100 million. The swap has a remaining life of 11 months. The LIBOR spot rates for 2-month, 5-month, 8-month, and 11-month, are 6.5%, 7%, 7.5%, and 8%, respectively. The 3-month LIBOR rate at the last payment date was 6%. Estimate the value of the swap to ABC Bank by estimating the values of the floating leg and the fixed leg. Use the 30/360 day count method.

A. The present value of the fixed leg?
B. The present value of the floating leg?
C. The value of the swap to ABC bank?

Q3:Currency Swap Pricing

On August 15th, 2013, ABC bank negotiated a 2-year currency swap with TRI Corp., paying Euro fixed and receiving USD floating with a notional principal of $100 million. The semi-annual settlement is on every February 15 and August 15 until maturity. The spot FX rate on 8/15/2013 is $1.33 per €1.00. The term structure of interest rates on 8/15/2013 are in the table below.
The day count method used is 30/360.

A. What is the notional principal in euro?
B. What is the fixed rate in euro?
C. What is the amount in euro ABC bank has to pay on Feb 15, 2014?
D. What is the amount in U.S. dollar TRI Corp. has to pay on Feb 15, 2014?


Notional principal $100,000,000


FX rate $1.33 per €1.00

Day count 30 360

Settlement Period 180







Term Structure of Interest Rates 8/15/2013

Maturity LIBOR (US $) EURIBOR

####### 6.20% 6.00%

####### 6.30% 6.50%

####### 6.70% 6.50%

####### 7.00% 7.00%





Q4: Currency Swap Value

On September 15th, 2013, ABC bank entered into a 2-year currency swap contract with GV Manufacturing, paying Euro fixed 6% and receiving USD floating with notional principal of $133 million and €100. The semi-annual settlements are on every September 15 and March 15 until maturity. It is now November 15th, 2013, two months after the contract start date. The spot FX rates on 9/15/2013 and 11/15/2013 are $1.33 and $1.30 per €1.00, respectively. The new term structure of interest rates on 11/15/2013 are in the table below. The day count method used is 30/360. The 6-month LIBOR rate at the last payment date was 5%.

A. What is the present value of all the cash flows of the floating leg (in USD) on 11/15/2013?
B. What is the present value of all the cash flows of the fixed leg (in Euro) on 11/15/2013?
C. What is the present value of the swap to ABC bank on 11/15/2013?


Notional principal $133,000,000 € 100,000,000


Swap EURO Fixed Rate 6.00%

6-mo LIBOR (USD) on 15SEP2013 5.00%

FX rate $1.30 per €1.00 on

Day count 30 360

Settlement Period 180





Term Structure of Interest Rates 11/15/2013

Maturity LIBOR (US $) EURIBOR

3/15/2014 6.40% 6.00%

9/15/2014 6.40% 6.50%

3/15/2015 7.00% 6.50%

9/15/2015 7.00% 7.00%





ANSWERS


A. Value of Floating Leg (in USD)  


B. Value of Fixed Leg (in Euro)  


C. Value of the swap (in USD)  

Reference no: EM13680477

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