Assume you start investing into a retirement fund starting today by depositing $1000 per year for the next 30 years. Your fund is expected to provide a 12% return annually. Your twin sibling also plans to invest for their retirement by investing in a retirement fund but they will wait for 10 more years before starting to deposit money into their retirement fund. Their retirement fund will provide a return of 13% per year and they will retire at the same time as you. If both you and your sibling end up with the exact same amount of money in your fund when you retire, how much per year did your sibling have to deposit into their account?