Tiana invested in an annuity with an initial investment of P40,000 followed by deposit of P800 every month for 6 years. The interest rate was 4.25% p.a. compounded monthly. What is the future value of this investment?

Laurie bought a 5-year level annuity with payments made at the end of each year. The annuity has an annual yield rate of 7.0% and a modified convexity of 11.4080. Calculate the Macaulay convexity of the annuity. A 9.9 B 10.2 D 11.7 12.2 E 13.1

Suppose that your bank pays 6% interest, compounded quarterly. Find out how much should be deposited now to yield an annuity payment of 1,500 at the end of each three months, for 3 years. (Round your answer to the nearest cent)

Provide manual solutions to below mentioned problems. An engineer is entitled to receive P25,000 at the beginning of each year for 18 years. If the rate of interest is 4% compounded annually. 1. What is the present value of this annuity at the time he is supposed to receive the first payment?2. What is the sum of this annuity at the end of the 18th year?3. Find the difference between the sum of this annuity which is paid at the beginning of each year and an annuity paid at the end of each year. Answer. 1. P329,141.72 2. P666,780.73 3. P25,645.41