As winner of a racing competition, you can choose one of the following prizes:

Option A: $35,000 to be received at the end of each year for 10 years, the first payment occurring 3 years from now.

Option B: $280,000 at the end of five years.

Option C: $25,000 per year forever, the first payment starting one year from now.

Option D: $7,500 in year 1 and increasing thereafter by 5.5% per year forever.

Option E: $50,000 per year every year for 4 years with the first payment now.

a) If the interest rate is 12% per annum compounded annually, calculate the present value (PV) for each of the options above. Show workings.