Jun 6-8, 2024 To live comfortably in retirement, you decide you will need to save $2 million by the time you are 65

Jun 6-8, 2024
To live comfortably in retirement, you decide you will need to save $2 million by the time you are 65 (you are 30 years old today). You will start a new retirement savings account today and contribute the same amount of money on every birthday up to and including your 65th birthday. Using TVM principles, how much must you set aside each year to make sure that you hit your target goal if the interest rate is 5%? What flaws might exist in your calculations, and what variables could lead to different outcomes? What actions could you take ensure you reach your target goal?

Submitted on:

Jun 6, 2024, 3:57 AM

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DH

Dawn Hall
Jun 7, 2024, 9:18 AM(edited)

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Hello Class,

To save $2 million by age 65 with an interest rate of 5%, the annual contribution you would need to make is:

Given:

Target retirement savings goal: $2,000,000
Current age: 30 years old
Retirement age: 65 years old
Annual interest rate: 5%
To calculate the required annual contribution, we can use the formula for the present value of an annuity:

PV = PMT * [(1 – (1 / (1 + r)^n)) / r]

Where:

PV = Present value (your target retirement savings of $2,000,000)
PMT = Annual contribution (the unknown we’re solving for)
r = Annual interest rate (5% or 0.05)
n = Number of years until retirement (65 – 30 = 35 years)
Plugging in the values:

$2,000,000 = PMT * [(1 – (1 / (1 + 0.05)^35)) / 0.05]

Solving for PMT:

PMT = $2,000,000 / [(1 – (1 / (1 + 0.05)^35)) / 0.05]
PMT = $2,000,000 / 17.6071
PMT = $113,639.23

Therefore, to reach your $2 million retirement savings goal by age 65 with a 5% annual interest rate, you would need to contribute $113,639.23 per year, starting at age 30 and continuing until your 65th birthday.

Some potential flaws and variables to consider:

Assumed Interest Rate: The 5% interest rate is just an estimate. Actual investment returns may be higher or lower than this, which would impact the required annual contribution.
Inflation: The $2 million goal is in current dollars, but the actual cost of living in retirement may be higher due to inflation. This could mean you need to save more to maintain the same purchasing power.
Unexpected Expenses: You may face unanticipated expenses in retirement, such as healthcare costs or other emergencies, which could require you to have a higher savings target.
Changes in Retirement Age: If you decide to retire earlier or later than age 65, it would change the number of years you have to save and the required annual contribution.
Contribution Consistency: The calculation assumes you make the same contribution every year. In reality, your income and ability to save may fluctuate over time.
To help ensure you reach your target goal, you could consider the following actions:

Increase Contribution Amounts: Try to contribute more than the calculated amount each year, especially in your prime earning years, to build up a larger nest egg.
Diversify Investments: Invest your retirement savings in a mix of assets (e.g., stocks, bonds, real estate) to potentially achieve higher average returns over time.
Delay Retirement: Working a few extra years can significantly boost your retirement savings and reduce the number of years you need to fund.
Regularly Review and Adjust: Monitor your progress annually and adjust your savings rate or investment strategy as needed to stay on track.
Seek Professional Advice: Consider working with a financial advisor to help you develop and implement a comprehensive retirement plan.
The key is to start saving early, invest wisely, and be willing to make adjustments along the way to ensure you reach your retirement savings goal.

Brigham, E. F., and Ehrhardt, M. C. (2020). Financial management: Theory and practice [with MindTap] (16th ed.). Cengage Learning. ISBN-13: 9780357252680