The 5 year swap rates computed above are the coupon rates for “par bonds” denominated in euro and aud. A par bond has a market price equal to its face value.
It follows that
1. The value in euro of the euro bond with a face value of 10m euro and a coupon rate of 7.0000% and a term of 5 years is exactly 10m euros
2. The value in aud of the euro bond is 10,000,000×1.60=$16,000,000
3. The value in aud of the aud bond with a face value of 16m aud and a coupon rate of 11.1470% and a
term of 5 years is exactly 16m aud
Under the swap, you are paying fixed in aud and receiving fixed in euros.
Thus you are short a 5 year aud denominated bond with a fixed rate of 11.147% and a face value of $16mAUD, and long a 5 year euro denominated bond with a fixed rate of 7.00% and a face value of 10m Euros.
The value of the 5 year aud bond is $16,000,000×[0.576950+0.11147×(3.795187)]=$16,000,000 AUD The value of the 5 year Euro bond is $10,000,000×[ 0.70468809+0.07000×( 4.21878)]=10,000,000 Euro swap value = aud value of the long euro bond less the aud value of the aud bond = 16m-16m= 0