Colin Closer 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, Colin received the following email from his agent, Michael Make-dTeam, indicating that he is being called up to the Mobile Bayhoppers, the Mountain Goatss corresponding Major League Baseball (MLB) team. Moreover, Colins contract is being revised to reflect his new status. The email describes the general terms and conditions of Colins revised contract.

From: Michael Make-dTeam

To: Colin Closer

Subject: New Team, New Contract Proposal

Congratulations! Youve been called up to the Mobile Bayhoppers. 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!

Colin Closer hereafter referred to as the Player, is offered a four-year contract with an annual salary of $504,000 per year, to be paid at the end of each month in the contract term.

Under the leagues collective bargaining agreement, the Player will receive a 4% cost-of-living adjustment (COLA) to his annual salary at the beginning of every other year. This means that the Players annual salary will increase at the beginning of year 2 and year 4, as applicable.

The Player is offered a performance-based bonus, as well as a milestone bonus. Both are intended to encourage outstanding performance.

The Player is offered the following award-based performance incentive: a 15% bonus if he is designated as the Most Valuable Player (MVP) in the league. The Player is also offered the following milestone bonus: a $100,000 bonus if he ties Nolan Ryans 1973 single-season strikeout record (383 strikeouts)

The Player is eligible for each potential bonus each year that the contract is in effect and, if expressed as a percentage, will be based on the value of the Players base annual salary for the corresponding year. If earned, the performance and milestone bonuses will be distributed in a single payment at the beginning of the next contract year. Although this proposal describes only one milestone, the actual contract contains several progressive milestones. Exceeding one milestone creates the opportunity to exceed another.

In addition, the Player will receive a one-time $15,000 time-in-league bonus after six months of participation with an MLB team. This bonus will be paid immediately on completion of the six-month period.

In addition to the proposal offered by the Bayhoppers, 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 Bayhoppers 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,

Colin is so excited! According to Michael, the contract is worth $2,778,400assuming receipt of all possible bonuses. After rereading the email twice and calling his family, Colin 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 Colin have agreed that any funds received could be invested to earn 9.00%, compounded monthly.

When entering intermediate values as answer choices, be sure to round them to the nearest dollar, however when using those same values to calculate another answer, do not round.

Gavin Goldenarm's Contract Evaluation Worksheet B D E F 1 A Assumptions and Calculated Values 2 Bank Rate Information: 3 Gavin's Bank Account Rate % (compounded monthly) Monthly Bank Rate 4 % 5 % Effective Annual Interest Rate 6 7 Year 1 Year 2 Year 3 Year 4 Total value 8 Salary and Bonus Information: Annual Salary (4% COLA) Monthly Salary Discount factor (based on $ $ $ 9 $ 10 11.4349 10.4542 9.5577 8.7380 Cell B4 above) 11 Discounted Annual Salary $ 12 13 14 0.9562 Time-in-League Bonus Discount factor (based on Cell B4 above) Discounted Time-in-League 15 $ Bonus 16 17 Milestone Bonus $ $ $ 18 0.9142 0.8358 0.7641 0.6986 Discount factor (based on Cell B5 above) 19 Discounted Milestone Bonus 20 21 Performance Bonus 22 Discount factor (based on 0.9142 0.8358 0.7641 0.6986 Cell B5 above) 23 Discounted Performance $ $ Bonus 24 25 $ Monthly Endorsement Contract Payment 26 11.4349 10.4542 Discount factor (based on Cell B4 above) 27 $ Discounted Monthly Endorsement Payment 28 29 $ Contract's Total Nominal Value 30 Contract's Total Discounted $ Value 1. Given your worksheet calculations, which of the following statements is accurate? Is Steven's estimate of the value of Gavin's contract accurate on either a nominal or discounted basis? Check all that apply. It is appropriate and necessary to discount the performance bonus using the bank account's 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. Steven's estimate of the value of Gavin's contract is incorrect on a nominal basis, and the error is $48,663. It is appropriate and necessary to discount the endorsement contract using the bank account's effective annual interest rate because of differences in the timing of the compounding of the bank account and that of the payments on the endorsement contract. Related Question: The local car dealer creating Gavin'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 Gavin 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.] Gavin Goldenarm's Contract Evaluation Worksheet B D E F 1 A Assumptions and Calculated Values 2 Bank Rate Information: 3 Gavin's Bank Account Rate % (compounded monthly) Monthly Bank Rate 4 % 5 % Effective Annual Interest Rate 6 7 Year 1 Year 2 Year 3 Year 4 Total value 8 Salary and Bonus Information: Annual Salary (4% COLA) Monthly Salary Discount factor (based on $ $ $ 9 $ 10 11.4349 10.4542 9.5577 8.7380 Cell B4 above) 11 Discounted Annual Salary $ 12 13 14 0.9562 Time-in-League Bonus Discount factor (based on Cell B4 above) Discounted Time-in-League 15 $ Bonus 16 17 Milestone Bonus $ $ $ 18 0.9142 0.8358 0.7641 0.6986 Discount factor (based on Cell B5 above) 19 Discounted Milestone Bonus 20 21 Performance Bonus 22 Discount factor (based on 0.9142 0.8358 0.7641 0.6986 Cell B5 above) 23 Discounted Performance $ $ Bonus 24 25 $ Monthly Endorsement Contract Payment 26 11.4349 10.4542 Discount factor (based on Cell B4 above) 27 $ Discounted Monthly Endorsement Payment 28 29 $ Contract's Total Nominal Value 30 Contract's Total Discounted $ Value 1. Given your worksheet calculations, which of the following statements is accurate? Is Steven's estimate of the value of Gavin's contract accurate on either a nominal or discounted basis? Check all that apply. It is appropriate and necessary to discount the performance bonus using the bank account's 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. Steven's estimate of the value of Gavin's contract is incorrect on a nominal basis, and the error is $48,663. It is appropriate and necessary to discount the endorsement contract using the bank account's effective annual interest rate because of differences in the timing of the compounding of the bank account and that of the payments on the endorsement contract. Related Question: The local car dealer creating Gavin'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 Gavin 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.]