compound functions - annuity questions


1 Determine the years purchase for 11% per annum in perpetuity

2 Determine the PVPMT at 11% pa for periods of 80, 60, 40, and 20 years

3 What can you conclude by comparing the answers in 2 with those in 1 ?

4 Determine the future value of $10 000 pa for 10 years at 9%pa

5 Determine the present value of cash flow in question 4 using the PVPMT formula

6 Determine the present value of the cash flow in question 4 using the PV and FVPMT formulae.

7 What is the present value of the right to receive $200 000 pa for 40 years at 15% pa?

8 Why is the sinking fund component of an investment in a depreciating asset such as a quarry so important?

9 Determine the value of the following ground lease:

Term: 20 years

Remuneration rate: 4%pa

Replacement of capital: 9.5%pa

Ground rent: $2 50 000pa

10 Prove the answer to question 9

11 How does income tax affect the rate of return on investment? How does this apply to valuations using the dual rate method?