ming \( s i \) 5. Adora is preparing for an income fund for her retirement. She wants to receive Php \( 15,000.00 \) monthly for the next 25 years starting 1 month from now. The income fund pays \( 10.5 \% \) per year compounded monthly. How much must Adora deposit now to pay for the annuity?

To figure out how much Adora needs to deposit now, we can start by calculating the present value of an ordinary annuity. With her desired monthly income of Php 15,000 for 25 years and an annual interest rate of 10.5% compounded monthly, we can first convert the interest rate to a monthly rate by dividing it by 12. This gives us a monthly interest rate of 0.875%. Then we can apply the formula for the present value of an annuity: \[PV = PMT \times \left(1 - (1 + r)^{-n}\right) / r\] In this case, PMT is Php 15,000, r is 0.00875 (which is 10.5%/12), and n is 300 (25 years multiplied by 12 months). Plugging in the numbers will tell you how much she needs to deposit. After computing the numbers, Adora must deposit approximately Php 3,331,764.00 now to ensure she receives her desired monthly amount throughout her retirement! Additionally, it’s crucial for Adora to consider inflation and the potential for changes in living expenses over 25 years. Adjustments to her plan may be necessary to safeguard her future purchasing power. It might be wise for her to review her investment strategy periodically to adapt to any new economic circumstances or changes in her lifestyle.