Answer:
$7,000 gift will be worth $19,922 after 17 years ( or 68 quarters) given the discount rate is 6.2% compounded quarterly.
Explanation:
The worth of $7,000 nowadays after 17 years is equal to its future value compounded for the time of 17 years or 68 quarters.
As the discounted rate is 6.2% compounded quarterly, we have:
Compounding period = 17 x 4 = 68; Interest rate = 6.2%/4 = 1.55%.
Apply the formula for future value to determine the value of $7,000 in 17 years as: 7,000 x (1+1.55%) ^68 = $19,922.
Thus, the answer is $19,922.