Please note: Kindly solve the following questions as soon as possible. Thank you in advance for your cooperation.

Present value of an annuity (Due):

12. A Company has decided to set up a sinking fund to replace an asset after 5 years. The value of the fund after 5 years must be Tk. 1,00,000 and the fund is expected to earn interest at the rate of 7% per annum.

a) What must be the annual payment into the fund if the payment makes at the end of each year?

b) After 10 years your business need Tk. 10,00,000. You maintain a sinking fund and deposit some money at the beginning of each year for 10 years. If the interest rate is 5% then how much must the payment be to attain your requirements?

13. Mr. Mannan borrow Tk. 5,00,000 from a bank for purchasing a shop. If he pays annual equal installments for 10 years at 8% interest rate on outstanding balance. Then what is the installment amount if he makes installment at the end of each year?

Perpetuities:

14. If you receive Tk. 500 for each year until you died / for ever. If the opportunity cost/discount rate is 6% then what is the value of this perpetual amount?

15. What is the value of a bond paying 1000 per year for infinite time and the interest rate is 7%?