Question
Saleem Swingman has been playing baseball since he was five years old and has always dreamed of playing in the big leagues. Last season, he
Saleem Swingman has been playing baseball since he was five years old and has always dreamed of playing in the big leagues. Last season, he was a starting pitcher for a double-A (AA)-level baseball team, the Moab Mountain Goats; last year, he was the first runner-up for the Minor League Player of the Year award. Using his 93 mph fastball, an impeccable curve ball and slider, and a reliable changeup pitch, he achieved a 15-2 winloss record, an earned run average (ERA) of 2.76, and 123 strikeouts in 99.1 innings pitched. He is also your best friend.
Two weeks ago, on his three-year anniversary with the team, Saleem received the following email from his agent, Michael Make-dTeam, indicating that he is being called up to the Springfield Dusties, the Mountain Goatss corresponding Major League Baseball (MLB) team. Moreover, Saleems contract is being revised to reflect his new status. The email describes the general terms and conditions of Saleems revised contract.
From: Michael Make-dTeam
To: Saleem Swingman
Subject: New Team, New Contract Proposal
Saleem,
Congratulations! Youve been called up to the Springfield Dusties. Below are the offered terms and conditions of your new contract. After you review them and think about the offer, call me and well discuss your options. Congrats again!
Salary and Incentives:
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In addition to the proposal offered by the Dusties, Ive also been able to secure the following endorsement opportunity:
A local car dealer has offered you a contract that will pay $750 per month for two years. This contract is contingent on your accepting the contract with the Dusties and will take effect immediately upon signing your MLB contract. In return for these payments, you will participate in the dealers promotional events, such as signing autographs and allowing photographs as requested.
Ive also attached a worksheet that you can use to analyze the deal. Im in negotiations for the rest of the day, so lets discuss your thoughts on the contract proposal tomorrow. Im proud of you!
Take care,
Michael
Michael Make-dTeam
Sports Agent, R&R Talent Management Inc. | Springfield
Saleem is so excited! According to Michael, the contract is worth $2,858,400assuming receipt of all possible bonuses. After rereading the email twice and calling his family, Saleem called you to review the terms of the contract and verify Michaels calculations. After an extended conversation about what hell do with his newfound wealth, you and Saleem have agreed that any funds received could be invested to earn 5.00%, compounded monthly.
Contract Evaluation Worksheet
Complete the following worksheet by inserting the appropriate values to evaluate the contract and answer the related questions. Note: To clarify possible sources of confusion and simplify your calculations:
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Saleem Swingman's Contract Evaluation Worksheet
A | B | C | D | E | F | |
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1 | Assumptions and Calculated Values | |||||
2 | Bank Rate Information: | |||||
3 | Saleem's Bank Account Rate (compounded monthly) | % | ||||
4 | Monthly Bank Rate | % | ||||
5 | Effective Annual Interest Rate | % | ||||
6 | ||||||
7 | Salary and Bonus Information: | Year 1 | Year 2 | Year 3 | Year 4 | Total value |
8 | Annual Salary (4% COLA) |
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9 | Monthly Salary |
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10 | Discount factor (based on Cell B4 above) | 11.6812 | 11.1127 | 10.5718 | 10.0573 | |
11 | Discounted Annual Salary |
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12 | ||||||
13 | Time-in-League Bonus |
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14 | Discount factor (based on Cell B4 above) | 0.9754 | ||||
15 | Discounted Time-in-League Bonus |
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16 | ||||||
17 | Milestone Bonus |
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18 | Discount factor (based on Cell B5 above) | 0.9513 | 0.9050 | 0.8610 | 0.8191 | |
19 | Discounted Milestone Bonus |
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20 | ||||||
21 | Performance Bonus |
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22 | Discount factor (based on Cell B5 above) | 0.9513 | 0.9050 | 0.8610 | 0.8191 | |
23 | Discounted Performance Bonus |
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24 | ||||||
25 | Monthly Endorsement Contract Payment |
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26 | Discount factor (based on Cell B4 above) | 11.6812 | 11.1127 | |||
27 | Discounted Monthly Endorsement Payment |
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28 | ||||||
29 | Contracts Total Nominal Value |
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30 | Contracts Total Discounted Value |
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1. Given your worksheet calculations, which of the following statements is accurate? Is Michaels estimate of the value of Saleems contract accurate on either a nominal or discounted basis? Check all that apply.
Michaels estimate of the nominal value of Saleems contract is correct.
It is appropriate and necessary to discount the performance bonus using the bank accounts effective annual interest rate because of differences in the timing of the compounding of the bank account and that of the payments for the performance bonus.
Michaels estimate of the value of Saleems contract is incorrect on a nominal basis, and the error is $63,663.
Related Question: The local car dealer creating Saleem's endorsement opportunity can earn 6% (compounded quarterly) on his deposited funds. She would have to deposit
each quarter, starting exactly two years before the day Saleem signs his contract, to fund her endorsement contract. [Note: The future value interest factor of 6% compounded quarterly for eight quarterly periods is 8.4328.]
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