Thank You

16. Application of Time Value of Money Skills Gavin Goldenarm 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 96 mph fastball, an impeccable curve ball and slider, and a reliable changeup pitch, he achieved a 16-3 win-loss record, an earned run average (ERA) of 2.98, and 146 strikeouts in 117.0 innings pitched. He is also your best friend. Two weeks ago, on his three-year anniversary with the team, Gavin received the following email from his agent, Michael Make-d'Team, indicating that he is being called up to the Springfield Dusties, the Mountain Goats's corresponding Major League Baseball (MLB) team. Moreover, Gavin's contract is being revised to reflect his new status. The email describes the general terms and conditions of Gavin's revised contract.From: Michael Make-d'Team To: Gavin Goldenarm Subject: New Team, New Contract Proposal Gavin, Congratulations! You've 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 we'll discuss your options. Congrats again! Salary and Incentives: . Gavin Goldenarm hereafter referred to as the "Player," is offered a four-year contract with an annual salary of $474,000 per year, to be paid at the end of each month in the contract term. . Under the league's 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 Player's annual salary will increase at the beginning of year 2 and year 4, as applicable. . In addition, the Player will receive a one-time $10,000 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.. The Player is offered a performancebased bonusI as well as a milestone bonus. Both are intended to encourage outstanding performance. . The Player is offered the following awardbased performance incentiye: a 15% bonus if he is selected for consideration of a major awardsuch as the Cy 11!"oung Award (for outstanding pitching}. The Player is also offered the following milestone bonus: a $125,D[J bonus if he ties Nolan Ryan's 19?? sin gIeseason sb'ikeout record {333 strikeouts}. - The Player is eligible for each potential bonus each year that the contract is in effect and, if expressed as a percentage, Iwill be based on the value of the Player's 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 to the proposal offered by the Dusties, I've also been able to secure the following endorsement opportunity: A local car dealer has offered you a contract that will pay $235!] 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 dealer's promotional events, such as signing autographs and allowing photographs as requested. I've also attached a worksheet that you can use to analyze the deal. E'm in negotiations for the nest of the day, so let's discuss your thoughts on the contract proposal tomorrow. I'm proud of you! Take care, Michael Michael MakeclTeam Sports Agent, RSLR Talent Management Inc. | Springeld a... Gavin is so excited! According to Michael, the contract is worth $2,720,4UDassuming receipt of all possible bonuses. After rereading the email twioe and calling his family, Gavin called you to review the terms of the contract and verify Michael's calculations. After an extended conversation about what he'll do with his newfound wealth, you and Gavin have agreed that any funds received could be invested to earn 5.56%, 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 darifv possible sources of confusion and simplify your calculations: . Assume that all bonuses are earned in each of the years for which they are available and are paid at the end of the corresponding year(s), unless specically stated differently. Their value should be based on the salary in effect at the time the bonuses were earned. . The endorsement proceeds are paid in accordance with the terms of the deal. . Remember that the timing of a cash ow affects the interest rate that is used to discount the cash ow. For example, annual interest rates should be used to discount annual cash flows, and monthly interest rates are used to discount monthly cash ows. Therefore, it may be necessary to compute the appropriate interest rate that should be used in a discounting calculation. . Round all dollar amounts to the nearest whole dollar and carry out all interest rate factors to four decimal places. . 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 A B C D E F 1 Assumptions and Calculated Values 2 Bank [late Information: 3 Gavin's Bank Account Rate I:I \"A: [compound ed monthly) 4 Monthly Bank Rate E \"A: 5 Effective Annual Interest E '35 Rate 6 ? Salary and Bonus Year 1 Year 2 Year 3 Year 4 Total value Information: a musarawmw 9 Monthly Ealary:r IS I IS I IS I 1!] Discount factor {based on 11.650!) 11.02% 10.4391 9.83}? Cell B4 above} 1] Discounted Annual Salary.r IS I IE I I$ I I$ I 12 13 14 15 15 1? 18 19 21] 21 22 23 24 25 TIrne-in-League Bonus Discount factor (based on Cell B4 above) Discounted TIrneinLeague Bonus Milestone Bonus Discount factor (based on Cell BE above} Discounted Milestone Bonus Performance Bonus Discount factor (based on Cell 35 above} Discounted Performance Bonus Monthly En do rsern ent Contract Payment 0.9229 |s | |5 | |$ | |$ | |$ 0.9456 0.0961 0.0402 0.0029 |S | |$ | |$ | |$ | |S | |$ | I55 | |$ | 0.9456 0.0961 0.0482 0.0029 26 2}" 28 29 30 Discount factor (based on 11.6500 11.0230 Cell B4 above) Discounted Monthly ii: I |$ E Endorsement Payment Contract's Total Nominal Value Contract's Total Discounted \\:| Value 1. Given your worksheet calculationsr which of the foilowing statements is accurate? Is Michaei's estimate of the value of Gavin's contract accurate on either a nominal or discounted basis? Check a\" that appiy. E] 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. |:l Michael's estimate of the value of Gavin's contract is incorrect on a nominal basisr and the error is $53,088. [I 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 ioca[ car dealer creating Gavin's endorsement opportunity can earn 6% (compounded quarteny) on his deposited funds. She would have to deposit E 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 rutiarterhir for eight quarterlyr periods is 8.43%.]