Hi, please solve the question based on the scheme RST given. Thank you so much.

3. (i) Using Scheme RST you'd like to set up a three-year annuity where you are able to withdraw A dollars from an account at the end of each three week period. How much should your initial deposit be ? (ii) Compute your initial deposit if you'd like the annuity in (i) to instead be a perpetuity, so you can make withdrawals of A every three weeks indefinitely. Page 2 18 C Mostly cloudy HEWLETT-PACKARDp/MAT133/Term_Test_1_Template.pdf CD Page view A" Read aloud Draw v 61146 1H A er the following compound interest scheme, which we'll refer to as Scheme RST throughout Scheme RST . An interest rate of r > 0 is applied at the end of the first week, . An interest rate of s > 0 is applied at the end of the second week, . An interest rate of t > 0 is applied at the end of the third week. Thereafter, the cycle repeats, so that the rates r, s, and t are applied at the end of the subsequent weeks, in this order