Sophia purchased a variable annuity contract with a purchase payment of $115,000. Surrender charges begin with 8 percent in the first year and decline by 1 percent each year. In addition, Sophia can withdraw 11 percent of her contract value each year without paying surrender charges. In the first year, Sophia needed to withdraw $19,750. Assume that the contract value has not increased or decreased because of investment performance. What was the surrender charge Sophia had to pay
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