2025-05-24

How to solve hard growing annuity exam questions

In this video, we tackle a personal finance problem related to retirement planning using Time Value of Money (TVM) concepts. The scenario involves receiving an annual salary of $125,000 at the end of each year and deciding to save for retirement starting one year from now. The individual will deposit 20% of their salary (equivalent to $25,000) into an account earning a 4.5% annual interest rate. Additionally, the salary increases by 3% per year. The main goal is to calculate how much money will be available at retirement in 50 years. The video walks you through how to break down this scenario using TVM concepts. You'll learn how to identify key variables like interest rate (k), growth rate (g), and number of periods (n), and understand how these variables impact future savings. We also go through the process of calculating the payment amount (which grows each year) and applying the formula for a growing annuity. Finally, you'll see how to compute the present value (PV) of the annuity and then compound it to find the future value (FV) after 50 years. This video is a great resource for finance students looking to understand how to approach retirement saving questions on exams using TVM.

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