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Suppose a correlation swap buyer pays a fixed correlation rate of 0.2 with a notional value of one million U.S. dollar for one year for a portfolio of three assets. The realized pairwise correlations of the daily log returns at maturity for the three assets have correlation matrix below. How much will the buyer of correlation swap receive?
| 1 2 3 4
------|-----------------
1 | 1 0.4 0.2 0.1
2 | 0.4 1 0.3 0.2
3 | 0.2 0.3 1 0.2
4 | 0.1 0.2 0.2 1
| 1 2 3 4
------|-----------------
1 | 1 0.4 0.2 0.1
2 | 0.4 1 0.3 0.2
3 | 0.2 0.3 1 0.2
4 | 0.1 0.2 0.2 1