A parent is interested in saving for college for their child was just born and will go to college in 18 years. Currently the average cost of college is $18,000 per year, payable at the beginning of the year. This cost will increase 3% per tear. Assume the child will finish college in four years. The parent can invest in a fund that earns 7% Per year from now through the end of college.
1. If the parent begins saving at the end of the first year, and saves annually until the child enters college, what will be the needed annual saving payments?
2. If the parent waits until the end of the 10^th year to begin saving, how much they have to save annually for the child's college?