Question #54
Reading: Reading 30 Pricing and Valuation of Forward Commitments
PDF File: Reading 30 Pricing and Valuation of Forward Commitments.pdf
Page: 21
Status: Unattempted
Correct Answer: B
Question
The price of a forward contract:
Answer Choices:
A. is equal to the value of the contract in equilibrium
B. is the settlement price for the underlying asset
C. must be equal to the market price at contract termination. Abel Smith works in the Treasury Department of OTS Ltd. OTS is an international construction firm, based in the United States. OTS hopes to raise €100 million through the issuance of a €100 million one-year fixed rate bond but is concerned about the currency risk exposure. TNA Bank proposed a one year EUR-USD currency swap with semi-annual settlements to OTS to mitigate the exchange rate risk. The notional principal would be €100 million. The
Explanation
The price of a forward contract is the price of the underlying asset that the long will pay to
the short at settlement (for a deliverable contract). The value of a forward contract comes
from the difference between the forward contract price and the market price for the
underlying asset. This difference between price and value is a key concept to understand.
A forward contract has only one price, which applies to both the long and to the short.
(Module 30.1, LOS 30.b)
Abel Smith works in the Treasury Department of OTS Ltd. OTS is an international
construction firm, based in the United States. OTS hopes to raise €100 million through the
issuance of a €100 million one-year fixed rate bond but is concerned about the currency risk
exposure.
TNA Bank proposed a one year EUR-USD currency swap with semi-annual settlements to
OTS to mitigate the exchange rate risk. The notional principal would be €100 million. The
bank provides the following information:
Exhibit 1: MRR Spot Rate (annualized)
Days $ MRR PV Factors Days
MRR
PV Factors
180
0.70%
0.9965
180
1.50%
0.9926
360
1.00%
0.9901
360
2.00%
0.9804
Using the information in Exhibit 1, the bank calculates that the currency swap's fixed rates
are 0.85% on the USD and 1.75% on the euro.
The term structure of MRR and MRR spot rates three months after the swap initiation is
shown in Exhibit 2:
Exhibit 2: MRR Spot Rate (annualized)
Days $ MRR PV Factors Days
MRR
PV Factors
90
0.85%
0.9979
90
1.30%
0.9968
270
1.20%
0.9911
270
2.30%
0.9830
Typesetting math: 100%
Exhibit 3: Exchange Rates
Time
Exchange Rate
Time
Exchange Rate
Swap initiation
90 days after swap initiation
€1: USD1.43
€1: USD1.48
1st settlement date
2nd settlement date
€1: USD1.55
€1: USD1.55
OTS has an investment portfolio with similar weighting as the S&P500. Smith believes that
the U.S. equity market could suffer further declines and OTS could hedge the equity risk
using an equity swap. Smith obtained the outlook of the U.S. equity market in Exhibit 4.
Exhibit 4: Performance of S&P500 for the Next Three Quarters
Time
S&P Index Level
Swap initiation
1,190
1st quarter
1,000
2nd quarter
980
3rd quarter
1,050
4th quarter
1,130
Smith is proposing for OTS to be the party paying the equity return on a USD500 million one-
year equity swap. OTS will be receiving fixed rate of 1% on a semi-annual basis.
Smith makes two comments:
Comment
1:
A fixed-rate payer in an equity swap would not have to pay more than the
fixed rate each period.
Comment
2:
Compared to an interest rate swap, the first payment in an equity swap will
not be known at initiation.