Interest Rate FRA
A
bank has quoted the following rates for dealing in FRAs
Bid Offer
3
v 6 4.59 4.56
It
is 24th
March and your company wants to fix an interest rate for borrowing CU
1 million for three months from 24th
June. What is the payment to be made on the FRA if the company
entered a 3 v 6 FRA with a bank, assuming that interest rates rise to
4.65% from their current level of 4.5%?
Interest
Rate Futures
The
Corporate treasurer of Clieff decides on 31 December to hedge the
interest rate risk on the CU 6 million to be borrowed in three
months’ time for six months by using interest rate futures. Her
expectation is that interest rates will increase from 13% by 2% over
the next three months.
The
current price of March CU 3 month futures is 87.25. The standard
contract size is CU500,000.
- Set out calculations of the effect of using the futures market to hedge against movements in the interest rate:
- If interest rates increase from 13% by 2% and the futures market price moves by 2%
- If interest rates increase by 13% by 2% and the futures market price moves by 1.75%
- If interest rates fall from 13% by 1.5% and the future market price moves by 1.25%
The time value of money, taxation and
margin requirements can be ignored.
- Calculate, for the situations above, whether the total cost of the loan after hedging would have been lower with the futures hedge chosen by the treasurer or with an interest rate guarantee which she could have purchased at 13% for a premium of 0.25% of the size of loan to be guaranteed.
Again, the time value of money, taxation
and margin requirements can be ignored.
Interest
Rate Futures and Options
The finance director of Plutocrat Ltd is
concerned that interest rates could become more volatile for many
major trading countries following recent turmoil in credit markets.
It is now 1 March and Plutocrat is expected
to need to borrow BDT 12,000,000 for a period of six months
commencing in six months' time.
Futures and options quotes are given below.
You may assume that the company may borrow at the 3-month LIBOR rate.
LIFFE futures prices, BDT 500,000
contract size
June 94.54
September 94.28
LIFFE options on futures prices, BDT
500,000 contract size, premiums are annual %
Exercise price Calls Puts
June September June September
94.25 0.437 0.543 0.083 0.187
94.50 0.276 0.387 0.168 0.282
94.75 0.163 0.263 0.302 0.407
3-month LIBOR is currently 5.5%.
Requirements:
(a) Discuss the relevant considerations
when deciding between futures and options to hedge the company's
interest rate risk. 5
(b) Using the above information illustrate
the possible results of hedging interest rate risk using:
(i) Futures, and
(ii) Options.
hedges
if interest rates in six months' time increase by 0.5% and the
September future is then trading at 93.97. Recommend which hedge
should be selected.
Interest
Rate SWAP
Swapit
Ltd has a high credit rating. It can borrow at 10% or variable at
LIBOR + 0.3%. It would like to borrow variable.
Badcred
Ltd has a lower credit rating. It can borrow fixed at 11% or variable
at LIBOR + 0.5%. It would like to borrow fixed.
Requirement
Show
how a swap arrangement would benefit both parties if Swapit were to
borrow fixed, paying Badcred Ltd LIBOR, and Badcred Ltd were to
borrow variable paying 10.1% fixed to Swapit Ltd.
Interest
Rate Swap
Tista
Cement Ltd. has a fixed rate loan of BDT 125 Million at 13%, which
must be redeemed one year hence. The Company is considering an
interest rate swap with Gomoti Steel Ltd., which has a floating rate
loan of the same size at LIBOR plus 1%. If the swap goes ahead,
Gomoti Ltd. will pay Tista Ltd. 12% and Tista Ltd. will pay Gomoti
Ltd. LIBOR plus 1½%. Tista Ltd. could issue floating rate debt at
LIBOR plus 2% and Gomoti Ltd. could issue fixed rate debt at 12½%.
There
would be legal fees of 0.10% for each company on the amount of swap
if the swap is made.
Requirement:
(i)
Would the swap benefit Tista Ltd:
- if LIBOR is 11% for the next year.
- if LIBOR is 11% for the next four months, and 9.5% thereafter?
(ii)
Could an alteration in the terms of the swap make it beneficial to
both companies? Any benefit would be shared equally between them.
Currency
Risk
American
Adventures Ltd (AA) is a family owned company based in the UK. AA
organises walking, cycling and climbing holidays in the United States
of America for both British and American customers. AA has the
following receipts and payments due in four months’ time:
-
Receipts due from American customers on 31 March 2015
$2.25 million
Payments due to American suppliers on 31 March 2015
$3.50 million
You
work for Zeta Corporate Finance which has been asked to give advice
to AA on hedging its exchange rate risk. You have available the
following data on 30 November 2014:
Exchange
rates:
Spot
rate ($/£) 1.5154 - 1.5157
4-month
forward contract premium ($/£) 0.0012 - 0.0011
March
currency futures price (standard
contract size £62,500): $1.5148/£
March
traded sterling currency options (standard
contract size £10,000):
The
premiums are quoted in cents per £ and are payable up front.
Strike
price Call premium Put premium
$1.56
1.04 6.15
Annual
borrowing and depositing interest rates:
Sterling
4.70% - 3.50%
Requirement:
Assuming
the spot exchange rate on 31 March 2015 will be $1.5150 – 1.5156/£
and that the sterling currency futures price will be $1.5153/£,
calculate AA’s net sterling payment if it uses the following to
hedge its foreign exchange risk:
- a forward contract
- currency futures
- a money market hedge
- currency options
Currency
Risk
E
Inc is a US-based business that is a major computer software provider
to the defence industry.
In
order to expand its business, the company has recently agreed, in
principle, to buy a small computer software business based in
France for €10·54
million from a French conglomerate. However, E Inc is concerned over
certain legal and technical aspects of the software business. The two
parties to the transaction have therefore agreed that the deal will
be finalised and the purchase price will be paid in three months’
time, subject to the satisfactory outcome of a due diligence
investigation by an independent firm of accountants.
In
order to deal with foreign exchange risk associated with the purchase
of the French business, the Corporate Treasurer
of E Inc is considering the following choices:
- The purchase of futures contracts, which will be sold in three months’ time in order to close the company’s position. The relevant euro futures contracts are currently priced at €1 = $0·9750. The futures contract size is €125,000 (and should be rounded to the nearest whole number of contracts). The tick value is $12·50 and one tick is 0·01 cents per €.
- The purchase of an over-the-counter option at an exercise price of €1 = $0·9900 with a premium cost of $2 per €100.
The
current spot rate is €1
= $0·9812.
The
Corporate Treasurer of E Inc believes that one of two future
scenarios may occur and is concerned with the effect
of each scenario on the choices described above.
The two scenarios are:
- in three months’ time, the spot rate moves to €1 = $0·9998 and the futures price moves to €1 = $0·9860
- in three months’ time, the spot rate moves to €1 = $0·9660 and the futures price moves to €1 = $0·9580
Required:
- Calculate the cost of the futures contract and the hedge efficiency under each scenario.
(b)
Calculate the final outcome of the over-the-counter option under each
scenario.
Comment
on your findings in (a) and (b) above.
Comment
on the appropriateness of each hedging instrument for E Inc.