1. EncryptCe would like to establish a fund for purchasing machinary for health institutions that Serve people with physical injuries. The fund will be sat up to last in perpetuby so that Encryptce can budget annually for machine purchases. The fund will pay out $20,000 at the and of each year starting in 2025. Complete the following calculations [a] if interest is at 3.25%% nominal annual compounded quarterly, calculate the amount of money that EncryptCe needs to put into the fund at the beginning of 2032. (2 marks] [b) ifinterest is at 5% nominal annual compounded quarterly, calculate the amount of money What EncryptCe needs to put into the fund at the beginning of 2022. (3 maria)] 1. Marine Co has purchased some equipment that will allow its offshore operations to grow in savings for 5 wars starting at the end of 3036. It h now the beginning of 2032. The equipment will enable savings of $40,000 at the and of 3026, and the savings will increase each year by 5% from the previous your until the and of the your 2030. Calculate the present value of the equipment at the beginning of 2022 if the interest rate in 4% nominal annual, compounded quarterly. (4 marks] 3. GamCe has found two machines that it can used at its mines but it can only puree one of them. Each machine is identified by number - POO1001 and POO1002. The data for each machine are Fivein in the cable below. Pooloo1 First Cost $15,000 $36 000 Annual Income Annual Operating Cost Salvage Value $2350 95000 [a] Draw a cash flow diagram of each machine. (3 marka] [b) if the interest rate is 3% nominal annual compounded monthly find the present worth of wach project and select a project based on the present worth. [4 marks] 4. A band with a face value of $40,000 pays annual interest of 3.5%% at the and of each year for 10 work. Eight payments are laft until the band matures with the first payment being today. In) Drew cash flow diagram of the band and draw a vertical line that represents today on the cash flow diagram. (3 marks) (b] How much would you pay for the band today if you wanted to cam 4% annual intent compounded annually? [5 marks]