JoJo Klum purchases a life insurance policy from BetterLifeCo. JoJo will pay a premium of $125 every week on Friday, and in return their beneficiaries will receive a payment of $1,000,000 on the second Friday after JoJo dies. BetterLifeCo invests the premiums it receives and expects to earn interest (net of any costs) of j52 = 10.4% p.a.

(Please show work)

a) Illustrate all the cash flows associated with this scenario as a fully labelled timeline diagram. (Include JoJos death as an event of the timeline.) [3 marks]

b) If JoJo lives another 25 years, determine the amount that BetterLifeCo will have accumulated from JoJos premiums, at the time of JoJos death.

c) Determine how much this will accumulate to by the time that BetterLifeCo need to make the payout. [2 marks]