Question 2 [Total 8 marks] Maddy agrees to pay Millie the sum of $100,000 at the end of 25 years in return for a yearly payment for 25 years of $2401.20, the rst payment being due in 12 months. Immediately after the 8th payment, Millie decides she cannot continue in full and suggests that either (i) payments by Millie should cease and Maddy should be liable to pay $35,000 at the end of the original 25 years. or (ii) Millie should pay in future only $1,000 per annum and Maddy should pay $60,000 the end of the original 25 years or (iii) Maddy should pay $18,000 now and close the transaction. Which offer should Maddy accept, assuming that the rate of interest upon which the transaction was originally based is still appropriate? Hint: s25 at 2%=32.0303,s25 at 3%=36.4593,s25 at 4%= 41.6458,s25 at 5%=47.7271