Sophia purchased a variable annuity contract with $45,000 purchase payment. surrender charges begin with 9 percent in the first year and decline by 2 percent each year. in addition, sophia can withdraw 12 percent of her contract value each year without paying surrender charges. in the first year, sophia needed to withdraw $9,700. assume that the contract value had not increased or decreased because of investment performance. what was the surrender charge sophia had to pay?