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Alyson, another investor, has also purchased an IIP for the original price of $863.52807120123. Two years pass, and Alyson has just received the annual payment

Alyson, another investor, has also purchased an IIP for the original price of $863.52807120123. Two years pass, and Alyson has just received the annual payment of $48. She is considering selling the IIP.

Again, the original information regarding IIP's has been repeated below.

  • Customers pay $863.52807120123 to buy an IIP.
  • The IIP will pay out $48 at the end of each year for 12 years
  • The IIP will pay out a further single payment of $1,000 after 12 years
  • There are no further payments after this single payment at time 12.

(a) Barney is willing to purchase the IIP from Alyson. He requires a return of 4.0% p.a. effective. What is the maximum price Barney is willing to pay?

(b) Barney and Alyson agree on the price calculated above. Ignoring tax and any other expenses, what is the effective annual return that Alyson has made on her investment? Recall that she has received 2 payments of $48 and the sale price.

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