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James inherits a $20,000 life insurance benefit from his father. The benefit will be paid to him in an annuity. James has three options how

James inherits a $20,000 life insurance benefit from his father. The benefit will be paid to him in an annuity. James has three options how he will receive the payment.

Option 1: James will receive a level payment of $2,000 at the end of each period for n periods

Option 2: He will receive a level payment of $819 at the end of each period for 3n periods

Option 3: He will receive a level payment of $X at the end of each period for 4n periods.

If James earns the same yield rate for all 3 options, calculate X.

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