Did Manny Machado Get A Better Contract Than Bryce Harper?
This winter’s two biggest free agent names signed the two biggest free agent deals in history over the last week. Manny Machado will receive $300 million over 10 years if he doesn’t exercise his opt-out after 2023, while Bryce Harper will take in $330 million over the next 13 seasons. For Harper and his agent, Scott Boras, waiting for Machado to sign was likely part of a plan to secure a higher payout. That plan appears to have worked as Harper received $30 million more in guaranteed money. But because those dollars will be paid out over more years and the contract has no opt-out, it’s not entirely clear whether Harper signed the best financial package. Let’s take a closer look.
Before getting to the contract breakdown, here is a reminder of how biggest doesn’t necessarily equal best. Back in December, I took all the major league contracts of at least $100 million and adjusted those amounts to 2019 MLB dollars. As we now have a few more entrants, here is the updated version of the chart from that post.
| Player | Year | Years | Total Value (M) | 2019 Adjustment (M) | AAV 2019 ADJ (M) |
|---|---|---|---|---|---|
| Alex Rodriguez | 2001 | 10 | $252 | $592 | $59.2 |
| Alex Rodriguez | 2008 | 10 | $275 | $448 | $44.8 |
| Derek Jeter | 2001 | 10 | $189 | $444 | $44.4 |
| Giancarlo Stanton | 2015 | 13 | $325 | $393 | $30.3 |
| Manny Ramirez | 2001 | 8 | $160 | $376 | $47.0 |
| Albert Pujols | 2012 | 10 | $240 | $358 | $35.8 |
| Bryce Harper | 2019 | 13 | $330 | $330 | $25.4 |
| Ken Griffey, Jr. | 2000 | 9 | $116.5 | $330 | $36.6 |
| Prince Fielder | 2012 | 9 | $214 | $319 | $35.4 |
| Robinson Cano | 2014 | 10 | $240 | $310 | $31.0 |
| Manny Machado | 2019 | 10 | $300 | $300 | $30.0 |
| Kevin Brown | 1999 | 7 | $105 | $297 | $42.5 |
| Joey Votto | 2014 | 10 | $225 | $290 | $29.0 |
| Mark Teixeira | 2009 | 8 | $180 | $290 | $36.2 |
| Joe Mauer | 2011 | 8 | $184 | $289 | $36.1 |
| Mike Hampton | 2001 | 8 | $121 | $284 | $35.5 |
| Clayton Kershaw | 2014 | 7 | $215 | $277 | $39.6 |
| Todd Helton | 2003 | 9 | $141.5 | $277 | $30.8 |
| Jason Giambi | 2002 | 7 | $120 | $276 | $39.4 |
| Carlos Beltran | 2005 | 7 | $119 | $263 | $37.6 |
| Nolan Arenado | 2019 | 8 | $260 | $260 | $32.5 |
If we wanted to employ the most precise method, we might want to calculate the net present value of all of those deals, along with the relevant state and local income tax. While that task was one I considered unduly burdensome, we can undertake a rough approximation with Bryce Harper, Manny Machado, and Nolan Arenado. The chart below shows the actual money expected to be paid out to Machado and Harper, as well as the present value of those salaries today using an eight percent discount rate.
| Year | Manny Machado Contract (M) | Manny Machado NPV (M) | Bryce Harper Contract (M) | Bryce Harper NPV (M) |
|---|---|---|---|---|
| 2019 | $30 | $30.0 | $30 | $30.0 |
| 2020 | $30 | $27.8 | $26 | $24.1 |
| 2021 | $30 | $25.7 | $26 | $22.3 |
| 2022 | $30 | $23.8 | $26 | $20.6 |
| 2023 | $30 | $22.1 | $26 | $19.1 |
| 2024 | $30 | $20.4 | $26 | $17.7 |
| 2025 | $30 | $18.9 | $26 | $16.4 |
| 2026 | $30 | $17.5 | $26 | $15.2 |
| 2027 | $30 | $16.2 | $26 | $14.0 |
| 2028 | $30 | $15.0 | $26 | $13.0 |
| 2029 | — | — | $22 | $10.2 |
| 2030 | — | — | $22 | $9.4 |
| 2031 | — | — | $22 | $8.7 |
| TOTAL | $300 M | $217.4 M | $330 M | $220.8 M |
While Harper received $30 million more overall, today, that difference is only around $3 million. Over the next 10 years, Machado will receive his full $300 million while Harper receives $264 million, and that makes a difference. A smaller discount rate provides a greater advantage to Harper, but not markedly so. To provide further context, we can create an equivalent 10-year contract for Harper and put it next to Machado’s deal.
| Year | Bryce Harper 13-year Deal (M) | Bryce Harper 13-year NPV (M) | Bryce Harper 10-Year Deal (M) | Bryce Harper 10-Year Deal NPV (M) |
|---|---|---|---|---|
| 2019 | $30 | $30.0 | $30.5 | $30.5 |
| 2020 | $26 | $24.2 | $30.5 | $28.2 |
| 2021 | $26 | $22.3 | $30.5 | $26.1 |
| 2022 | $26 | $20.6 | $30.5 | $24.2 |
| 2023 | $26 | $19.1 | $30.5 | $22.4 |
| 2024 | $26 | $17.7 | $30.5 | $20.8 |
| 2025 | $26 | $16.4 | $30.5 | $19.2 |
| 2026 | $26 | $15.2 | $30.5 | $17.8 |
| 2027 | $26 | $14.0 | $30.5 | $16.5 |
| 2028 | $26 | $13.0 | $30.5 | $15.3 |
| 2029 | $22 | $10.2 | — | — |
| 2030 | $22 | $9.4 | — | — |
| 2031 | $22 | $8.7 | — | — |
| TOTAL | $330 M | $220.8 M | $305 M | $221.0 M |
If Bryce Harper were to receive a 10-year deal of equal value to his 13-year contract, it would pay out $305 million over 10 years, barely besting Machado’s contract. It’s worth noting that Harper reportedly received a four year, $180 million offer from the Dodgers, which would have made him a free agent again at age 30; that deal would be equivalent to ten years and $225 million. While Harper did receive a full no-trade clause compared to Machado’s limited one, Machado also received an opt-out after 2023. For players, earlier opt-outs are more valuable as they are more likely to be able to sign another long contract. Machado’s is not especially early, but it does still have some value and that value is certainly more than $5 million. Based on that set of facts, it would seem likely that Machado’s contract is actually better than the one Harper signed. We also have taxes to consider.
The state of California imposes fairly high state income taxes relative to other states, at roughly 13%. The state of Pennsylvania has lower state income tax rates, at roughly 3%. The city of Philadelphia also imposes at tax of around 3.5% to 4%. The difference between the two tax situations is around 6%, though those taxes are only charged on half of each players’ income due to where the games are played. At roughly a 3% difference, we are talking about a total impact under $10 million over the life of these deals. As to who got the better deal, that depends on how you value Machado’s opt-out clause. If it is worth just a few million dollars, then Harper comes out ahead. Placing a high, $15 million to $20 million valuation on it swings things back over to Machado. If there’s a 20% chance that Machado can opt-out and receive $200 million after the 2023 season, then the Harper and Machado contracts are roughly equivalent in value.
We do have one more contract to consider. The eight-year, $260 million deal signed by Nolan Arenado is not a free agent contract, and Arenado was already set to earn $26 million this year. A player receiving guaranteed money a year ahead of free agency usually comes with some sort of discount, so for the sake of argument, let’s consider the money already guaranteed to Arenado and the discount Colorado receives for making a guarantee a year out a wash. Here’s the present-day value of the contract Arenado signed along with an equivalently valued 10-year deal.
| Year | Nolan Arenado 8-Year Deal (M) | Nolan Arenado 8-Year NPV (M) | Nolan Arenado 10-Year Deal (M) | Nolan Arenado 10-Year Deal NPV (M) |
|---|---|---|---|---|
| 2019 | $26 | $26.0 | $27.9 | $27.9 |
| 2020 | $35 | $32.4 | $27.9 | $25.8 |
| 2021 | $35 | $30.0 | $27.9 | $23.9 |
| 2022 | $35 | $27.8 | $27.9 | $22.1 |
| 2023 | $35 | $25.7 | $27.9 | $20.5 |
| 2024 | $35 | $23.8 | $27.9 | $19.0 |
| 2025 | $32 | $20.2 | $27.9 | $17.6 |
| 2026 | $27 | $15.8 | $27.9 | $16.3 |
| 2027 | — | — | $27.9 | $15.1 |
| 2028 | — | — | $27.9 | $14.0 |
| TOTAL | $260 M | $202 M | $279 M | $202 M |
Arenado’s contract is worth the same as a 10-year deal for $279 million. Arenado’s taxes are going to be less than Harper’s are in Philadlephia (assuming rates stay the same), and that might add a few million to the valuation. In addition, Arenado has an opt-out after 2021 in his contract. While he will be the same age as Machado when he opts out, and he has more money owed to him ($164 million), there’s an argument to make that Arenado’s opt-out clause is more valuable than Machado’s. Between the two players, because Arenado’s opt-out comes first, he’s more likely to be playing at a level similar to his current performance and thus more likely to receive another massive payday. How much more is open to interpretation, but putting a $20 million valuation on it would make Arenado’s deal just as valuable as the contracts just signed by Harper and Machado. All three players signed huge contracts with different dollar figures attached, but in terms of value, there’s an argument to be made that all three are worth the exact same thing.
Craig Edwards can be found on twitter @craigjedwards.
“Over the next 10 years, Machado will receive his full $300 million while Harper receives $264 million, and that makes a difference.”
One caveat, but that’s not 100% accurate; Harper would also have the new npv of the remaining three years of money — so Machado would realize 300M and Harper would realize 264M + have xxM unrealized due remaining — value is on a total return basis.
Machado will have the opportunity to sign a new contract in 2029, so an estimate of his post-2028 earnings enters the equation as well.
Yes, next.
It looks even better for Machado when you figure he gets to be a free agent again at 36 and has a chance to grab another few million to be a role player if he wants. I imagine his earning power for his 36-39 seasons will probably make up the difference and over their careers he’ll make more.
Based on how today’s GMs treat age curves now, I would say the statement “Machado will probably make up the difference” is extremely debatable.
Also Harper ensures that he will play his 36-39 years, if healthy, in the same advantageous park. This could make the difference in reaching a career achievement (e.g. 500 HRs). There’s no guarantee a 36-39 year old Harper gets anything beyond a MiLB contract & camp invite under today’s team builders.
He could also just sit on his ass in the sand of some fancy beach drinking pina coladas while Harper is getting booed by the what-have-you-done-for-me-lately Philly crowds for those 3 years.
And Machado would probably pay about $5m a year to sit there, maybe more depending on how his knees feel. So that’s the “floor” on the potential earned value of Machado’s 36-39 years.
It’s certainly possible, but it’s worth bearing in mind just how few players are even productive bench players at age 36 and older.
In 2018, there were only 13 position players who were 36 and older and got at least 150 PA’s – https://www.fangraphs.com/leaders.aspx?pos=all&stats=bat&lg=all&qual=150&type=8&season=2018&month=0&season1=2018&ind=0&team=&rost=&age=36,58&filter=&players=
Of those 13 players, four were below replacement level in 2018 and two others were only marginally above it.
Looking at a bit differently, here were the 2009 leaders in WAR among position players who were then 25 to 27 years old – https://www.fangraphs.com/leaders.aspx?pos=all&stats=bat&lg=all&qual=150&type=8&season=2009&month=0&season1=2009&ind=0&team=&rost=&age=25,27&filter=&players= . There are plenty of names toward the top of that list that are either out of baseball before their age 36 seasons or below replacement level by age 36.
8% is pretty aggressive discount rate in today’s low interest environment. I ran this exercise (see here: http://tinyurl.com/yxmy5glx) at 3%, and the gap is $280mn for Harper to $264mn Machado. Regardless, NPV is really more useful for comparing the cost to each team, not the benefit to the player.
A better way to compare the player’s take is determine the FV of all payments out to year 10. Assuming a 3% rate and compounding one per year at the end of each period, Machado’s payments would have a FV of $354mn after 2028, vs. Harper’s at $312mn. At that point, Harper would have $66 million owed to him, but Machado would have three years to make up the $22 million difference.
If you bump up the rate to 8%, Machado’s deal is worth $54 million more than Harper’s in FV, meaning Machado would just need to earn $12 million over his next three seasons to match Harper’s deal.
Yeah, 8% is too high for a guaranteed salary. If you had the future money today instead, you could invest it and a portion of your portfolio in risky assets and hope to make 8%, but you could also end up in the same place by deferring the guaranteed money (using a low discount rate for other similar guaranteed “investments”), and investing the same $$$ amount of your portfolio in risky assets. This is why a low discount rate is appropriate for a guaranteed future salary.
Most accurate would be using zero-coupon Treasury rates to discount each year. 2.5-3% is probably close enough.
Ironically Social Security offers an 8% increase for every year you defer benefits- granted you die you lose it but with that actuarial discount its still a premium to 3%.
Generally, people use 5%. But in baseball, revenue growth has been much much higher, so 8% is the presumed rate.
But I agree, since there isn’t a widely-accepted (and defended) rate, multiple rates should be used and displayed, ranging from, say, 4 to 10%.
For the past two decades or so, players’ salaries have been increasing at ~5% so there is nothing wrong with that.
A-Rod’s 2001 contract converted to 2019 corresponds to 4.9% annualized total return.
False, 5% on equity market growth maybe (S&P), but for rates — absolutely not. You would use the treasury curve as a proxy, which is nowhere near 5% let alone 8%.
I disagree. The question is what rate of return would Player X earn on the marginal increase in salary? You wouldn’t have to invest in risky assets to earn an 8% annual return on the incremental dollars.
Oh? If it were trivial to get 8% without risk, why are mortgages, which HAVE risk of the lender, going for ~4%. Claims that 8% return are safe and possible come from a belief that the market never goes down, you may well do that well or better, but you are trading security for extra risk to do so, and the added salary on a guaranteed contract is fairly safe by comparison.
You should add a “Who got a better contract?” poll.
It makes no sense to use some “baseball inflation” conversion rather than a real world conversion. Arod’s contract in 2001 was worth $358 million in today’s dollars. You don’t get to spend your money in some make believe baseball world, so why make this ridiculous comparison?
It makes complete sense to use baseball inflation. As revenues and profits grow, we should expect salaries to grow the same rate. It isn’t looking at “what if ARod invested his money and what would it be today?” It looks at “if ARod was a free agent and offered the same deal, what would it be today?”
Why would you assume that salaries grow at the same rate as revenues and profits? That has not happened historically – owner’s have been able to take a larger share.
I’m not aware this data has been publicly released – can you point me to it? All I’ve seen is the reports from MLB that players have gotten approx the same amount of revenue as in the past (~54%, IIRC).
Link has a chart the breaks down how players and owners have shared revenue since 1999: https://tinyurl.com/y99jwbtk
Only if you think you can come up with a defensible projection of baseball inflation for the future (obviously, retrospective is easier to do). Real-world inflation is pretty predictable. Baseball inflation is not.
Baseball inflation has been very predictable for two decades. It’s an estimate like anything else, but to assume it will be zero simply bc you cannot know it precisely is entirely foolish.
Maybe for some purposes, but for a “who got the biggest and best contract, real world real dollars are the measurement. The biggest salaries today are not really worse simply because more guys are getting a good slice of the pie.
Because a long-term deal prevents you from from enjoying the benefits of wage inflation. There is monetary value to having your salary increase with wage inflation vs. remaining static.
“Between the two players, because Arenado’s opt-out comes first, he’s more likely to be playing at a level similar to his current performance and thus more likely to receive another massive payday. ”
This logic on being more likely for another big payday doesn’t follow for me. They have their opt outs at the same age (31), and I assume they have the same aging curve? Therefore, if we assume they are playing at the same level at the opt out point (their age-based production is practically dead-on except for Machado’s 2017, and they really are similar players in a lot of ways), then they have equal likelihood to have a big payday at the opt out.
Also, what is the rationale for an 8% discount rate? That’s way too high for a guaranteed cash flow.
The tax situation is very complicated – it depends nearly as much on who his team plays as well as where he resides. The Philly wage tax is only applicable if you work in the city but live outside the city, or vice-versa. So if he lives in the city he’s exempt. Philly plays teams in their divisions with high taxes (D.C., NY) but Machado will play LA and SF who also have high tax rates.
One argument you could make is that there is a higher chance that Machado suffers a severe injury that cripples his chance of making opt-out worthwhile in the next five years than Arenado does in the next three.
That’s a fair point, but its a very remote possibility.
It’s basically doubling the likelihood of a severe injury. Has to go from like 5% in Arenado’s case to like 10% for Machado.
There is more nuance needed when discussing state taxes. One pays taxes to the state in which the person works, not just where they live or where their work is headquartered.
Harper doesn’t pay PA state tax on all his earnings. Just on those earnings he earns in PA. The portion of his income earned playing in NY, for example, is taxed by NY. All baseball players pay taxes in 10-20 different states.
So, yes, there are tax differences for signing in Florida or Texas versus Cali or NY, but not nearly as much as is often reported.
You’re correct but the article mentions that fact while also saying that it would be difficult to efficiently and accurately calculate the effect of state taxes.
Correct, you’d basically need to know the player’s team’s full playing schedule for the next 13 years.
Or you could use the average schedule of a CA-based team in the NL for past 5-10 years as a baseline.
Taking into account the Astros’ league swap and the resultant effect on interleague play.
They are all in the NL though, and 2 in the NL west, so a road schedule might be ‘good enough’ for this higher level analysis. Not perfect but not a trainwreck either.
Machado will be playing way more than 1/2 his games in CA though, and you don’t even need to know future schedules to know this as 2 of the 3 other teams in his division play in CA as well. He’s guaranteed, what, an extra 10% of his games to be played in-state.
Plus, presumably, interleague matchups with the Angels and A’s.
With the proposed New Green Deal tax this hair splitting becomes irrelevant. Every dollar over $10 million will go to the federal government and will be directed as our leaders best see fit.
State taxes for athletes are notoriously complicated. Craig does a pretty good job of summarizing, though it’s very possible that he understates the state income taxes Machado will pay by being on a team in California.
Generally speaking, a player will pay taxes for road games in a state/city with an income tax as a non-resident on a pro-rated amount of his income based on “duty days”. So it’s correct that even a player on a team in a state without state income tax – e.g., the Astros or Rangers – will still pay *some* state income tax due to road games.
What gets complicated for Machado in particular (or any player on a California team) is that Machado might very well be considered a California resident by virtue of playing for the Padres. If he’s a California resident, then he would in fact be subject to California state income tax on *all* of his income. That’s generally subject to credits for income taxes paid to other states, which would prevent his state income tax from going above the 13.3% top California marginal rate. If he’s a California resident, however, he’s not simply paying California state income tax on his income from home games: as CA state publications summarize, “Residents of California are taxed on ALL income,
including income from sources outside California”. (That would include not only salary income but also investment income, BTW.)
So, the question would be, is Machado a California resident? Not an easy answer, as California is also known for having residency rules that are relatively ambiguous, and specifically ambiguous in favor of the state of California making the case that someone is a resident. The general definition is that a California resident is someone who is”present in California for other than a temporary or transitory purpose” *or* “domiciled in California, but located outside California for a temporary or transitory purpose”. To be clear, a California resident only has to meet one of these criteria, not both. There are of course case law and regulations that have clarified this point to some degree, but there’s still a lot of ambiguity.
California residency rules are in contrast to some other states. There are other states that instead focus on bright line tests such as “did a person spend at least 183 days in the state?” or “did a person spend more time in the state than in any other one state?”
I’ve never read anything on how California residency rules have been specifically applied to professional athletes, but my best guess is that the state would take the position that Machado is a resident even if he doesn’t live in California during the offseason. Between home games and two division opponents located in California, he’ll play ~100 out of 162 regular season games in California and his primary place of employment is clearly in the state.
Agreed on all points, came here to basically say the same thing. For the purpose of this exercise, you should probably assume that he is deemed a resident of CA (for tax purposes) and all of his income is taxed at the CA Rate.
Only old fogies who spend their time glued to the TV or listening to Mark Levin & Rush make state taxes a factor in their life decisions
He’s got accountants who will ultimately make the differences negligible
It’s a cute political soapbox point, but I didn’t see Stanton stomping his feet to leave Miami to go to NY either
They’re all guys who are signed for approximately the same ages, are projected to be 4-5 win players, and will be paid approximately the same amount of money for those ages. I was curious to see whether there were little things here and there that might make it different, but it sounds like the answer is “nope.”
I think the tax situation is a real thing, but practically impossible to nail down. I head that Boras was requesting an extra $20 mil on the deal if Harper signed in CA, so that can be a proxy for comparing the two deals from that perspective (knowing there is likely some fluff in that number).
And Manny doesn’t have to live half the year in Philly!
Having spent loads of time in both San Diego and Philly, I’d definitely choose Philly.
Don’t brag about your poor taste.
Not even people who live in Philly think it’s nicer than San Diego.
If the Dodgers 200m/5 years or so was legit, I really wonder how much Harper thought about taking that. Its not that far off in NPV to what he did sign, its in LA which he seems to enjoy since its close to Vegas/home, he is a free agent again at age 31 free to sign anywhere, the team is generally better/as good at minimum as the Phillies are, and its life changing money no matter what. It seemed like he valued long term security over absolutely everything else, but man thats a touch choice to make if those were his 2 final offers IMO
I was surprised that he turned down the Dodgers’ reported offer. If you asked me a couple months ago which player in the MLB would be most likely to “bet on himself” contract-wise, I would have said Harper. He is extremely confident, well into the range of cocky in my opinion, and I am very surprised that he essentially did not think he would be able to get another big contract as a free agent at age 30.
It depends on the baseline, doesn’t it?
My baseline is that both players get $30 miĺion a year for ten years. At that point theý’ll both be 36. One of them will have three more years at $10 million per, and the other one is up against the aging wall.
Seems to me that Harper wins this little pissing against the wall contest.
Nerdy baseball finance note (this is the place for it!): If you do the math on the NPV of the Harper contract that Verducci writes about ($241 million), Boras uses a 5% discount rate.
That’s interesting to me. I’ve often seen baseball contracts discounted at a “stock” rate, but I’ve always felt they should be discounted more at a “bond” rate.
Another note: The Nats September offer had an NPV of $184 million.
https://www.si.com/mlb/2019/03/01/bryce-harper-philadelphia-phillies-contract-scott-boras
[Repeat]
Inflation (US economy) and opportunity cost (inability to benefit from future payroll increases) should probably be broken out instead of lumped together into the 8% figure used.
Isn’t Machado only receiving $12MM in 2019? That is what bbref and spotrac both show. That would impact the NPV a bit.
The reporting I’ve seen is that Machado is receiving $30 million in cash in 2019, because it’s a $20 million signing bonus plus a $10 million salary for 2019. He then receives $30 million per year for the rest of the contract, so the cash payout structure is a flat $30 million per year for 10 years.
Gotcha, thanks!
You’re calculating NPV incorrectly fyi. It’s 30/(1+i)^n, where i is the discount rate and n is the period number, not 30*(1-i)^n.
Thanks. Fixed.
On what basis did you choose 8% as your discount rate? Seems high, no? Historically, we’ve only seen discount rates that high during periods of inflation and we haven’t seen a federal discount rate of higher than 5% in the last 30 years.
The inflation rate of MLB salaries is higher than the rate of other wages
No idea if it’s 8%, but that’s the rate that should be used, weighted heavily to recent years
” *giggles* ”
– Hosmer