Question

In: Finance

You entered into a currency swap that has 4.25 years left until termination. You receive 4.3%...

You entered into a currency swap that has 4.25 years left until termination. You receive 4.3% on $10,000,000 (annual rate with annual compounding) and pay 3.8% on on €9,500,000 each settlement date. Current exchange rate is $1.10/€1. The interest rates are listed below for the USD and EUR all quoted per annum with continuous compounding. What is the value of your swap today? LOOKING FOR EXPLANATION AND IN SOME SORT OF EXCEL FORMAT PLEASE :)

Year USD EUR

0.25 3.00% 3.50%

1.25 3.50% 4.00%

2.25 4.00% 4.00%

3.25 4.25% 4.50%

4.25 4.25% 4.75%

Solutions

Expert Solution

Please see the table below. Please go through the second line to understand the mathematics.

Year USD EUR Receive in $ Pay in EUR Exchange rate ($ / Eur) Pay in $ Net cash flows PV factor PV of net cash flows
t A B C = 4.3% x 10,000,000 D = 3.8% x 9,500,000 E = 1.1 x e(A – B)t F = D x E G = C - F H = e-A x t G x H
0.25 3.00% 3.50%                          430,000                          361,000            1.098626        396,604          33,396         0.992528           33,147
1.25 3.50% 4.00%                          430,000                          361,000            1.093146        394,626          35,374         0.957193           33,860
2.25 4.00% 4.00%                          430,000                          361,000            1.100000        397,100          32,900         0.913931           30,068
3.25 4.25% 4.50%                          430,000                          361,000            1.091099        393,887          36,113         0.870990           31,454
4.25 4.25% 4.75%                          430,000                          361,000            1.076872        388,751          41,249         0.834748           34,433
Total        162,962

the value of your swap today = Sum total of PV of net cash flows = $  162,962


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