Chapter 7
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CH7
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Which of the following is a use of a cur-
rency swap?
A. To exchange an investment in one cur-
rency for an investment in
another currency
B. To exchange borrowing in one curren-
cy for borrowings in another
currency
C. To take advantage situations where
the tax rates in two countries are
different
D. All of the above
D. All of the above
A company can invest funds for five
years at LIBOR minus 30 basis points.
The five-year swap rate is 3%. What fixed
rate of interest can the company earn by
using the swap?
A. 2.4% B. 2.7% C. 3.0% D. 3.3%
B. 2.7%
When the company invests at LIBOR mi-
nus 0.3% and then enters into a swap
where it pays LIBOR and receives 3% it
earns 2.7% per annum. Note that it is the
bid rate that will apply to the swap.
Which of the following is true?
A. Principals are not usually exchanged
in a currency swap
B. The principal amounts usually flow in
the opposite direction to interest pay-
ments at the beginning of a currency
swap and in the same direction as inter-
est payments at the end of the swap.
C. The principal amounts usually flow in
the same direction as interest payments
at the beginning of a currency swap and
in the opposite
direction to interest payments at the end
of the swap.
D. Principals are not usually specified in
a currency swap
B. The principal amounts usually flow in
the opposite direction to interest pay-
ments at the beginning of a currency
swap and in the same direction as inter-
est payments at the end of the swap.
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Company X and Company Y have been
offered the following rates
Fixed Rate Floating Rate
Co. X: 3.5% 3-month LIBOR plus 10bp
Co Y: 4.5% 3-month LIBOR plus 30 bp
Suppose that Company X borrows fixed
and company Y borrows floating. If they
enter into a swap with each other where
the apparent benefits are shared equally,
what is company X's effective borrowing
rate?
A. 3-month LIBOR30bp
B. 3.1%
C. 3-month LIBOR10bp
D. 3.3%
A. 3-month LIBOR30bp
The interest rate differential between the
fixed rates is 100 basis points. The inter-
est rate differential between the floating
rates is 20 basis points. The difference
between the interest rates differentials is
100 - 20 = 80 basis points. This is the
total apparent gain from the swap to the
two sides. Since the benefits are shared
equally company X should be able to
borrow at 40 bp less than it is currently
offered in the floating rate market, i.e., at
LIBOR minus 30 bp.
Which of the following describes the
five-year swap rate?
A. The fixed rate of interest which a swap
market maker is prepared to pay in ex-
change for LIBOR on a 5-year swap
B. The fixed rate of interest which a swap
market maker is prepared to
receive in exchange for LIBOR on a
5-year swap
C. The average of A and B
D. The higher of A and B
C. The average of A and B
The reference entity in a credit default
swap is
A. The buyer of protection
B. The seller of protection
C. The company or country whose de-
fault is being insured against
D. None of the above
C. The company or country whose de-
fault is being insured against
Which of the following describes an inter-
est rate swap?
A. The exchange of a fixed rate bond for
2 / 8
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a floating rate bond
B. A portfolio of forward rate agreements
C. An agreement to exchange interest at
a fixed rate for interest at a
floating rate
D. All of the above
D. All of the above
Which of the following is true for an inter-
est rate swap?
A. A swap is usually worth close to zero
when it is first negotiated
B. Each forward rate agreement underly-
ing a swap is worth close to zero
when the swap is first entered into
C. Comparative advantage is a valid rea-
son for entering into the swap
D. None of the above
A. A swap is usually worth close to zero
when it is first negotiated
Which of the following is true for the party
paying fixed in a newly negotiated inter-
est rate swap when the yield curve is
upward sloping?
A. The early forward contracts underlying
the swap have a positive value and the
later ones have a negative value
B. The early forward contracts underlying
the swap have a negative value and the
later ones have a positive value
C. The swap is designed so that all for-
ward rates have zero value
D. Sometimes A is true and sometimes B
is true
B. The early forward contracts underlying
the swap have a negative value and the
later ones have a positive value
A bank enters into a 3-year swap with
company X where it pays LIBOR and re-
ceives 3.00%. It enters into an offsetting
swap with company Y where is receives
LIBOR and pays 2.95%. Which of the
following is true:
C. If company X defaults, the swap with
company Y continues
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A. If company X defaults, the swap with
company Y is null and void
B. If company X defaults, the bank will be
able to replace company X at
no cost
C. If company X defaults, the swap with
company Y continues
D. The bank's bid-offer spread is 0.5 ba-
sis points
The bank`s bid-offer spread is 5 basis
points not 0.5 basis points. The bank has
quite separate transactions with X and Y.
If one defaults, it still has to honor the
swap with the other.
When LIBOR is used as the discount
rate:
A. The value of a swap is worth zero
immediately after a payment date
B. The value of a swap is worth zero
immediately before a payment date
C. The value of the floating rate bond un-
derlying a swap is worth par immediately
after a payment date
D. The value of the floating rate bond un-
derlying a swap is worth par immediately
before a payment date
C. The value of the floating rate bond un-
derlying a swap is worth par immediately
after a payment date
A company enters into an interest rate
swap where it is paying fixed and receiv-
ing LIBOR. When interest rates increase,
which of the following is true?
A. The value of the swap to the company
increases
B. The value of the swap to the company
decreases
C. The value of the swap can either in-
crease or decrease
D. The value of the swap does not
change providing the swap rate
remains the same
A. The value of the swap to the company
increases
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A floating for floating currency swap is
equivalent to
A. Two interest rate swaps, one in each
currency
B. A fixed-for-fixed currency swap and
one interest rate swap
C. A fixed-for-fixed currency swap and
two interest rate swaps, one in
each currency
D. None of the above
C. A fixed-for-fixed currency swap and
two interest rate swaps, one in each cur-
rency
A floating-for-floating currency swap
where the currency paid is X and the cur-
rency received is Y is equivalent to (a) a
fixed-for-fixed currency swap where, say,
5% in currency X is paid and say, say, 4%
in currency Y is received, (b) a regular
interest rate swap where 5% in currency
X is received and floating in currency
X is paid and (c) a regular interest rate
swap where 4% in currency Y is paid and
floating in currency Y is received.
A floating-for-fixed currency swap is
equivalent to
A. Two interest rate swaps, one in each
currency
B. A fixed-for-fixed currency swap and
one interest rate swap
C. A fixed-for-fixed currency swap and
two interest rate swaps, one in
each currency
D. None of the above
B. A fixed-for-fixed currency swap and
one interest rate swap
A floating-for-fixed currency swap where
the floating rate is paid in currency X and
the fixed rate is received in currency Y is
equivalent to (a) a fixed-for-fixed curren-
cy swap where, say, 5% in currency X is
paid and the fixed rate in currency Y is
received, (b) a regular interest rate swap
where 5% in currency X is received and
floating in currency X is paid.
An interest rate swap has three years
of remaining life. Payments are ex-
changed annually. Interest at 3% is paid
and 12-month LIBOR is received. A
exchange of payments has just taken
place. The one-year, two-year and three-
year LIBOR/swap zero rates are 2%, 3%
and 4%. All rates an annually compound-
ed. What is the value of the swap as a
percentage of the principal when LIBOR
discounting is used.
B. 2.66
Suppose the principal 100. The val-
ue of the floating rate bond underly-
ing the swap is 100. The value of the
fixed rate bond is 3/1.02+3/(1.03)2+103/
(1.04)3=97.34. The value of the swap is
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A. 0.00
B. 2.66
C. 2.06
D. 1.06
therefore 10097.34 = 2.66 or 2.66% of
the principal
.A semi-annual pay interest rate swap
where the fixed rate is 5.00% (with
semi-annual compounding) has a re-
maining life of nine months. The six-
month LIBOR rate observed three
months ago was 4.85% with semi-annu-
al compounding. Today's three and nine
month LIBOR rates are 5.3% and 5.8%
(continuously compounded) respective-
ly. From this it can be calculated that
the forward LIBOR rate for the peri-
od between three- and nine-months is
6.14% with semi-annual compounding.
If the swap has a principal value of
$15,000,000, what is the value of the
swap to the party receiving a fixed rate
of interest?
A. $74,250
B. $70,760
C. $11,250
D. $103,790
B. $70,760 C. $11,250 D. $103,790
The forward rates for the floating
payment at time 9 months is 6.14%. The
swap can be valued assuming that the
fixed payments are 2.5% of principal at
3 months and 9 months and that the
floating payments are 2.425% and
3.07% of the principal at 3 months and
9 months. The value of the swap to the
party receiving fixed is therefore
1,000,000(0.025-0.02425)e-0.053×0.25+1,0
= - $70,760
Which of the following describes the way
a LIBOR-in-arrears swap differs from a
plain vanilla interest rate swap?
A. Interest is paid at the beginning of
the accrual period in a LIBOR-in- arrears
swap
B. Interest is paid at the end of the accru-
al period in a LIBOR-in-arrears swap
C. No floating interest is paid until the end
of the life of the swap in a LIBOR-in-ar-
A. Interest is paid at the beginning of
the accrual period in a LIBOR-in- arrears
swap
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rears swap, but fixed payments are made
throughout the life of the swap
D. Neither floating nor fixed payments
are made until the end of the life of the
swap
In a fixed-for-fixed currency swap, 3% on
a US dollar principal of $150 million is
received and 4% on a British pound prin-
cipal of 100 million pounds is paid. The
current exchange rate is 1.55 dollar per
pound. Interest rates in both countries for
all maturities are currently 5% (contin-
uously compounded). Payments are ex-
changed every year. The swap has 2.5
years left in its life. What is the value of
the swap?
A. $7.15
B. $8.15
C. $9.15
D. $10.15
C. $9.15
The value of the British pound bond un-
derlying the swap is in millions of pounds
4e-0.05×0.5+4e-0.05×1.5+104e-0.05×2.5
= 99.39
The value of the U.S. dollar bond is in
millions of dollars
4.5e-0.05×0.5+4.5e-0.05×1.5+154.5e-0.05×
= 144.91
The value of the swap is 144.91 -
99.39×1.55 = -9.15
Which of the following is a typical bid-of-
fer spread on the swap rate for a plain
vanilla interest rate swap?
A. 3 basis points
B. 8 basis points
C. 13 basis points
D. 18 basis points
A. 3 basis points
3 basis points is a typical spread be-
tween the bid and the offer on a plain
vanilla interest rate swap.
Which of the following describes the
five-year swap rate?
A. The rate on a five-year loan to a
AA-rated company
B. The rate on a five-year loan to an
A-rated company
C. The rate that can be earned over five
years from a series of short-term
C. The rate that can be earned over five
years from a series of short-term
loans to AA-rated companies
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loans to AA-rated companies
D. The rate that can be earned over five
years from a series of short-term
loans to A-rated companies
8 / 8
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