Question
Table 1 below has spot exchange rates and S&P 500 Index qutoed on June 4, and Aug 4, 2008. Table 2 has spot LIBOR rates
Table 1 below has spot exchange rates and S&P 500 Index qutoed on June 4, and Aug 4, 2008. Table 2 has spot LIBOR rates on EURO (EUR) and US Dollars (USD) for maturities ranging from 1 week to 12 months announced by the British Banker's Association (BBA) on June 4, Aug 4, 2008, and September 4, 2008. Use 30/360 day count method.
A) What should be the 6-mo FRA rates three months from June 4 (3X9 FRA) for Euro? 3X9 FRA on USD?
B) Calculate the market value (in EUR) on Aug 4 of a long position of the EURO FRA in A) above. The notional principal is EUR 10,000,000.
C) What is the market value in USD of the EURO FRA in B) above?
TABLE 1: S&P 500 Index and FX rate | |||
Date | 4-Jun-08 | 4-Aug-08 | |
FX rate - EUR | 0.6474 | 0.6415 | EUR/USD |
S&P 500 | 1377.2 | 1249.01 | |
TABLE 2: LIBOR (British Bankers Assn) | |||
Retrieved from http://www.bba.org.uk/. | |||
Quote Dates | 4-Jun-08 | 4-Aug-08 | 4-Sep-08 |
EUR (% per annum) | |||
1w | 4.17875 | 4.39188 | 4.39875 |
2w | 4.23000 | 4.41688 | 4.42063 |
1m | 4.45938 | 4.48188 | 4.51250 |
2m | 4.68688 | 4.75813 | 4.75688 |
3m | 4.86188 | 4.96500 | 4.95625 |
4m | 4.89250 | 5.01875 | 5.08563 |
5m | 4.91438 | 5.10375 | 5.12500 |
6m | 4.93688 | 5.15625 | 5.16375 |
7m | 4.96500 | 5.18063 | 5.18875 |
8m | 4.99250 | 5.20813 | 5.21500 |
9m | 5.02250 | 5.24188 | 5.24250 |
10m | 5.05250 | 5.27688 | 5.27125 |
11m | 5.08188 | 5.32063 | 5.29750 |
12m | 5.10625 | 5.35625 | 5.32750 |
USD (% per annum) | |||
1w | 2.38313 | 2.41063 | 2.37875 |
2w | 2.41500 | 2.44438 | 2.41750 |
1m | 2.45000 | 2.46125 | 2.48688 |
2m | 2.56938 | 2.66438 | 2.68438 |
3m | 2.67188 | 2.79813 | 2.81500 |
4m | 2.75125 | 2.89500 | 2.94625 |
5m | 2.81938 | 3.00563 | 3.02375 |
6m | 2.89125 | 3.09063 | 3.11313 |
7m | 2.92750 | 3.11563 | 3.12063 |
8m | 2.96313 | 3.13625 | 3.12563 |
9m | 2.99563 | 3.15688 | 3.13375 |
10m | 3.02688 | 3.18438 | 3.14688 |
11m | 3.06188 | 3.21438 | 3.16375 |
12m | 3.09750 | 3.24188 | 3.18125 |
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