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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