The Huon City Council (HCC) needs to accumulate $10,000,000 in two years in order to have the funds to pay for a upgrade of the Huon Sewerage Plant. Starting in one weeks time, the HCC plans to make 104 weekly deposits each of the same size into an investment account that pays j52 = 6.63% p.a.

1. a) Illustrate the cash flows associated with HCCs savings scheme as a fully labelled timeline diagram.

   [2 marks]

2. b) Determine the required the weekly deposit size.

[1 marks]

The HCC needs to divert funds to pay for the unexpected expense of a COVID vaccination program, and as a result is unable to make the scheduled deposits for weeks 23 to 32 inclusive.

c) Determine how far short of the target of $10,000,000 the HCC will be at the end of 104 weeks.

[3 marks]

d) Determine what size the deposit in week 33 would need to be, in order to put HCC back on schedule to meet their target.

e) Construct the very last line of the Sinking Fund schedule for the HCCs savings scheme.