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re: Would you choose $5 MILL in one check today, or $7.5 MILL paid over 5 years?

Posted on 8/26/15 at 2:55 pm to
Posted by TheBoo
South to Louisiana
Member since Aug 2012
5366 posts
Posted on 8/26/15 at 2:55 pm to
In this market I couldn't average 8.5% over 5 years. I'll take the the 7.5 over 5 years and invest it.
Posted by LSUAfro
Baton Rouge
Member since Aug 2005
12775 posts
Posted on 8/26/15 at 3:20 pm to
quote:

All of your examples only include a simple compounding interest rate and not dividends, capital gains, etc. they aren't based on real world scenarios

I don't...no. Nevermind.
Posted by OceanMan
Member since Mar 2010
22637 posts
Posted on 8/26/15 at 3:21 pm to
quote:

m not factoring in NPV because it still isn't going to work in your favor, but feel free to do so.


That is probably because you are using 6 year annuities. Original principal of 900k, with 5 series of payments of the same amount. Our calc's are different because yours compounds monthly and I cannot back into it, but this is close to your 7.3M.

Year Payments Interest Balance
1 $900,000.00 $90,000.00 $990,000.00
2 $900,000.00 $189,000.00 $2,079,000.00
3 $900,000.00 $297,900.00 $3,276,900.00
4 $900,000.00 $417,690.00 $4,594,590.00
5 $900,000.00 $549,459.00 $6,044,049.00
6 $900,000.00 $694,404.90 $7,638,453.90
Totals $5,400,000.00 $2,238,453.90 $7,638,453.90

The effect is that you are padding the FV by $900k, plus the interest it earned throughout the annuity. That is changing the facts, as it grows the nominal amt of the annuity. By saying the additions are at the start of the period (annuity due), you do not have to put 900k as the initial contribution, otherwise it is treated as you received 1.8M upfront.

You should be comparing the ~$6M to the $4.9M.

Regardless, you do notice that those figures are converging from 10 to 20% right? Which is the point that I made. The higher interest rate surely has an effect here, as it is compounded each year, and grows at a marginally faster rate with each increase in return %.

Since I already did it, here are the results at 20%:

Annuity:
Year Payments Interest Balance
1 $900,000.00 $180,000.00 $1,080,000.00
2 $900,000.00 $396,000.00 $2,376,000.00
3 $900,000.00 $655,200.00 $3,931,200.00
4 $900,000.00 $966,240.00 $5,797,440.00
5 $900,000.00 $1,339,488.00 $8,036,928.00
Totals $4,500,000.00 $3,536,928.00 $8,036,928.00

Lump Sum
Year Interest Future Value
Begin $3,000,000.00
1 $658,173.25 $3,658,173.25
2 $802,570.60 $4,460,743.85
3 $978,647.43 $5,439,391.29
4 $1,193,353.96 $6,632,745.24
5 $1,455,165.17 $8,087,910.42
Totals $5,087,910.42 $8,087,910.42

As you can see, the principal is still 50% larger in the annuity, however, the lump sum barely edges it. That was the point of my post above, depending on what you believe to be the expected rate of return, will determine which option you would choose. Unless you know the future, ER is a subjective variable.

ETA: Sorry, the preview made it look like those tables would be easier to read.

This post was edited on 8/26/15 at 3:25 pm
Posted by LSUAfro
Baton Rouge
Member since Aug 2005
12775 posts
Posted on 8/26/15 at 3:29 pm to
quote:

That is probably because you are using 6 year annuities

Yeah I realized that after I plugged those in
quote:

Regardless, you do notice that those figures are converging from 10 to 20% right? Which is the point that I made. The higher interest rate surely has an effect here, as it is compounded each year, and grows at a marginally faster rate with each increase in return %.


I absolutely see your point and understand where you're coming from, but my point when saying interest rates don't matter is that for the most part, they don't. It took you to 20% to get there. Nobody in their right mind is going to project a 20% annual return year over year, so anything less than that is irrelevant. It's still a losing scenario. This is coming from a moron, so take it FWIW.

You're hoping to hit homeruns year in and year out just to make your point. That's just not a realistic expectation and it would be "unwise" to hope for that when you can just take the sure thing.
This post was edited on 8/26/15 at 3:37 pm
Posted by Shalimar Sid
Member since Feb 2005
9340 posts
Posted on 8/26/15 at 3:42 pm to
how are you going to triple it? magically? Or by putting it all on black?

That would just be double.
Posted by LSUtiger89
Baton Rouge
Member since Dec 2007
4517 posts
Posted on 8/26/15 at 3:48 pm to
You just have to understand you don't lose until you pull out. Investing is and growing wealth is about accumulating assets. So at a young age you can be riskier wanting taking more ups and downs. But those downs don't really mean you lost (your shares/assets are still there), but that buying more shares is cheaper for the time being. When I find that someone is risk adverse at a young age it's because they don't know how the market works fully which is understandable. Know also with that is you really should be looking at tax implications in retirement also which is why I said annuities and municipal. Is there a way to private message on here? I love talking about it and could give you some more tips too.
Posted by Walking the Earth
Member since Feb 2013
17390 posts
Posted on 8/26/15 at 3:53 pm to
quote:

how are you going to triple it? magically? Or by putting it all on black?


Posted by DWaginHTown
Houston, TX
Member since Jan 2006
10173 posts
Posted on 8/26/15 at 4:16 pm to
I would take the 5 and I would invest half of it in low risk mutual funds and then take the other half over to my friend Asadulah who works in securities.
Posted by OceanMan
Member since Mar 2010
22637 posts
Posted on 8/26/15 at 5:25 pm to
quote:

You're hoping to hit homeruns year in and year out just to make your point. That's just not a realistic expectation and it would be "unwise" to hope for that when you can just take the sure thing.


Go read some more of my posts in the last few pages not in reply to you.

I have basically said that there are many other factors at play that could determine your return. Having access to more upfront cash gives you access to different types of investments that are not offered through the standard 401k. You aren't going to get into many VC or LBO funds with any less than $1M. Most businesses looking for investors don't typically put ads in the newspaper either. These are the same businesses that grow up, and make enough money that they may go public so that retail investors can simply buy them, expect about a 5-7% return, and are free to withdraw their investment at market value at any time they like.

Also, these types of investments are not designed for people to make short term decisions. The fact that you have 5 years to invest one amount, and a staggered time frame for the other amounts, makes it so that you cannot compare expected returns side-by-side. Just think about it; in this scenario, you are clearly (in your mind this appears to be the case) given a premium on the annuity. After all, it is not liquid, and you would have to wait on the cash. In a true comparison like the ones you and others have outlined, one in which the scenario is only evaluated after the five year period, it would be proper to assume that the lump sum would be invested in a vehicle that has no liquidity during the investment period.

Therefore, that particular investment may return a higher percentage than the marginal annuity payments, because you could lock it into an investment for the duration of the five year period. This liquidity premium is as real as risk/reward; the longer your money is locked into an investment, the higher return you can expect.

To summarize, I think that you and others have fallen into a bit of a fallacy that investing in the US stock market is the only way to evaluate these two options. As I am sure most people in this thread are just retail investors, have never been involved in an IPO, and never been involved with a deal that nets 500% returns, it is not unreasonable that this line of thinking has been taken (to be clear, I'm not saying I am one of those guys either). In a simplified scenario, I do no disagree with you. But if you have $5M-$7.5M in your pocket, the scenario gets a bit more complicated.



Posted by buckeye_vol
Member since Jul 2014
35371 posts
Posted on 8/26/15 at 5:26 pm to
quote:

I think it is because your perceptions about market returns are similar, and therefore are choosing to take the option that you think will yield the highest return
I'm basing what I think on the likelihood of one options outperforming the other; in this case, there is no question that the 7.5 million is far more likely to outperform the 5 million. I don't think the 8.5% return expectation is outrageous, but even if that is a reasonable expected value for a 5 year investment, there is only a 50% chance that will even reach the 7.5 million. If even a fraction of the of the 1.5 million is invested annually, even at a lower rate, the probability of the 5 million outperforming decreases below 50%.

So in terms of investment performance, the 7.5 million is a superior answer both statistically and logically. In addition, just because there are rare scenarios where that may not be the case, doesn't negate the superiority of the 7.5 million.
Posted by OceanMan
Member since Mar 2010
22637 posts
Posted on 8/26/15 at 5:51 pm to
quote:

You just have to understand you don't lose until you pull out


This advice cannot be said enough in times like these; remind myself multiple times per day.

quote:

When I find that someone is risk adverse at a young age it's because they don't know how the market works fully which is understandable.


Agree with this as well. I have found it beneficial to invest my IRA's in more risky investments than my brokerage, because there is less money in there, and I am inclined to check it less. Also, since these investments will presumably grow more over time, you get to keep more of the tax benefits (if all goes to plan that is).

quote:

Is there a way to private message on here?


There is not, people usually just leave email addresses and ask the other person to shoot them a message that way.

Posted by CelticDog
Member since Apr 2015
42867 posts
Posted on 8/26/15 at 5:56 pm to
longer.

Posted by OceanMan
Member since Mar 2010
22637 posts
Posted on 8/26/15 at 6:42 pm to
quote:

I'm basing what I think on the likelihood of one options outperforming the other; in this case, there is no question that the 7.5 million is far more likely to outperform the 5 million.


This is another way of saying the exact same thing I said; you think the return will be higher on the annuity than lump sum. I get it, you think that the lump sum will have a tough enough time catching the annuity, and that is before you invest any of the annuity payments. I am and have been on the same page with you all there. Again, note that I am not arguing for the lump sum, or against the annuity, but there are other considerations that need be made when looking at expected returns.

Bond Rates per Yahoo

If you look at this table, as I am sure you are familiar with based on your knowledge you have displayed thus far (you too Afro M-A-N), you will see that for the same class bond, rates of return are higher for the longer investment horizon. For Risk-free assets, the spread is about .75% for a 2.5 yr (backed into) and 1.5 for 5 yr. So even for risk-free, you get a larger return for longer time period invested (2.5 years based on the annuity, all funds being invested for about half the duration).

2 yr AA bonds offer roughly 1% lower yields than 5 yr AA bonds.For A-rated, its about 1.1% (2.45% vs 1.38%). The point here is that as risk increases, so does that spread between the different terms on the same bonds.

Given the same exact assets, I draw a few conclusions: As time invested increases, return increases, and as risk increases, that spread increases.

I take it from nearly everyone's comments, that their expected return on their portfolio would be at minimum 5%. So I think it is fair to say at that level, we could assume the spread (liquidity premium) would be at least 2x that, let's just say 2%.

I don't have to do the math, even at 5% vs 7%, the annuity still wins. But, I also don't have to do the math to know that the future value of the annuity is less than $2.5M more than the lump sum. Bump that up a few percentage points, the spread increases and those figures converge even more.

Therefore, to my original point that you quoted, based on your perceptions of return on the market have brought you to the conclusion that the annuity is the clear winner. How you believe your investments will perform, it's annuity all day. I assume this is based on personal experience in investing. I would also think that a lot of you are thinking you would keep working the same job after the award...that's very conservative.

All of this is completely logical, I am not arguing that. But I do believe this is all based on US stock market performance. It is after all the most reliable indicator of a moderately risky asset's performance. But, these investments are available to everyone, they can be bought/sold at a whim, and require a very minimal amount of due diligence to make an investment decision; for the most part, most have that work has already been done for you.

I suppose the bottom line is this: Do you really think that with $5M, in your hand, right now - that you could not start a business that yields more than a 7% return? If not, no shame in that whatsoever; it's risky to start a business. But for a lot of people, $5M is enough to realize a dream, and I sure as hell wouldn't wait 3-5 years to realize such a dream.

Rich people don't get wealthy investing in the S&P; they start businesses that eventually get registered and offered, becoming part of the S&P.

I sure hope I made my point.


Posted by trom83
Baton Rouge, LA
Member since Oct 2013
4724 posts
Posted on 8/26/15 at 7:13 pm to
7.5mil over 5 years
Posted by buckeye_vol
Member since Jul 2014
35371 posts
Posted on 8/26/15 at 7:54 pm to
quote:

Bump that up a few percentage points, the spread increases and those figures converge even more.
Sure. But the greater the spread the less lesser the probability of it happening.
quote:

Rich people don't get wealthy investing in the S&P; they start businesses that eventually get registered and offered, becoming part of the S&P.
The comparison isn't between-individuals. It doesn't matter whether Carl Icahn can invest the 5 million better than me with 7.5 million or vice versa. It's whether I can better invest 5 or 7.5 and whether Carl can better invest 5 or 7.5. I would say that regardless of the investor and his/her investment capabilites, the probability of having more money after 5 years will greatly favor the 7.5 million across the board.
This post was edited on 8/26/15 at 7:59 pm
Posted by OceanMan
Member since Mar 2010
22637 posts
Posted on 8/27/15 at 8:50 am to
quote:

Bump that up a few percentage points, the spread increases and those figures converge even more.


Sure. But the greater the spread the less lesser the probability of it happening.


Well, I tried.

quote:

I would say that regardless of the investor and his/her investment capabilites, the probability of having more money after 5 years will greatly favor the 7.5 million across the board


Again, if you are coming from a myopic viewpoint that the objective is to determine which one will be worth more, in liquid assets, only at the end of five years, this is hard to argue with. I am simply trying to say that will not be everyone's objective, and I believe that is the point of the question being asked in the first place.

Posted by Putty
Member since Oct 2003
25892 posts
Posted on 8/27/15 at 8:53 am to
quote:

$5 MILL in one check today, or $7.5 MILL paid over 5 years? by The Mick


It depends on the payment schedule. What if $7.5 mill "paid over five years" is paid beginning in 2042? Hmm?

Contracts, Bitches!
This post was edited on 8/27/15 at 9:02 am
Posted by buckeye_vol
Member since Jul 2014
35371 posts
Posted on 8/27/15 at 12:00 pm to
quote:

Well I tried
Do you disagree that the probability decreases and inhibits the expected value of the 5 million invesment?
quote:

Again, if you are coming from a myopic viewpoint that the objective is to determine which one will be worth more, in liquid assets, only at the end of five years, this is hard to argue with. I am simply trying to say that will not be everyone's objective, and I believe that is the point of the question being asked in the first place.
It may not be everybody's objective. If somebody says they want the 5 million immediately because "life is too short," I'm not going to argue with that. That is completly subjective. I'm only arguing the points about the quantifiable expected value at the end of the duration of this 5 year hypothetical.
Posted by OceanMan
Member since Mar 2010
22637 posts
Posted on 8/27/15 at 5:36 pm to
quote:

Do you disagree that the probability decreases and inhibits the expected value of the 5 million invesment?


No, but I thought it would be pretty clear that I knew that, based on the article I have written in this thread. I mean I even said that the spread increases as risk increases.

However, remember that the spread is only present because of the length of time horizon for the exact same asset. Point being, if you are invested for a longer period of time (at the onset of the investment), and each option is invested in the same exact asset, the one invested longer will receive a "liquidity" premium. So, if the objective really is for one option to "beat" the other at the end of five years, using the same investment strategy, it is worth noting that the 5-year lump sum investment will objectively yield a higher annual return.

As you said yourself, this analysis is only done by individual, if you can better invest one option or the other. At a certain level of risk, that spread will make the 5-year investment more attractive.

quote:

I'm only arguing the points about the quantifiable expected value at the end of the duration of this 5 year hypothetical.


I know, and that is what I meant with the text you quoted. But for reasons already stated, the reason for picking $5M are not limited to "life being to short". You can start nearly any business with $5M; with the annuity, you may not be able to start it at the beginning, and the ship might sail by the time you have enough capital with the annuity.

There are countless other opportunities that having more cash available, right now, offers that could affect this decision. Some of which can occur within the same exact investment strategy; Vanguard offers lower expense fees for higher balance investors.

I know I have beaten this to death, but I am just trying to make this clear that there are other very real variables here that aren't being considered, and if I can maybe help one person who may happen to read this earn more on their investments in the future, it would be worth it.
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