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That's really expensive!
It's about 10k to install 5kw systems in Australia and then you get about 3k back.
Also electricity is about double.
Who installed yours? Many places will give you that figure here in the US but when it comes down to the actual installation there are the hidden costs. I'm in Wisconsin at 45 degrees North latitude so for maximum efficiency, a system that tracks the sun is recommended.
Amazon has a 5000 watt grid tie do it yourself system for $11,900. You have to make certain that your local utility approves the components used to convert the DC to AC because they can introduce noise into the system.
If that system is approved and works as advertised, it would take just over 18 years to pay for it with no problems. At my age, I'm not likely to be alive long enough to see any benefit. Is the entire system warranted or just the solar panels? The inverter can cost over $1000 to replace.
Another consideration is how long you will be in the home. 13 years is the average so if the system won't pay for itself in that time, you aren't likely to recoup it when the property sells.