Answer: Statement A
Explanation: There sometimes comes a situation when banks of the country are unable to pay their debt and dues, to protect bank investors from such situation, in full or in part, is called Deposit insurance. These measures are implemented by the authorities for financial stability and safety in the economy.
So from the above explanation we can say that statement " Deposit insurance is private insurance by depositors to guarantee against a bank run that would affect securities" is the correct option.