please answer using financial culcalator

Case study

Allison Boone, M$.$D$.$

Allison Boone had been practicing medicine for seven years. Her specialty was neurology. She had received her bachelor$$s degree in chemistry from Kent State University and her M$.$D$.$ from Washington University in St$.$ Louis. She did her residency at Columbia Presbyterian Hospital in New York. Allison practiced neurology in a clinic with three other doctors in Hurst, Texas.

Her husband, Samuel L$.$ Boone, held an administrative position for Harris Methodist HMO in Arlington, Texas. Allison and Samuel had been married for five years and were parents of young twin sons, Todd and Trey. They lived in Arlington in a beautiful four$-$room house overlooking Lake Arlington.

Allison normally left for work at $7$:$30$ a$.$m$.$ and closed her office at $5$:$30$ p$.$m$.$ to return home. On Tuesday, March $6$th$,2021$ at $5$:$15$ p$.$m$.,$ she received an emergency call from Arlington General Hospital and immediately went to the hospital to help a patient who had suffered serious brain damage. By the time she had administered aid and helped prepare the patient for surgery it was $11$:$00$ p$.$m$.$

On her way home as she passed the Ballpark in Arlington $($home of the Texas Rangers baseball team$),$ she was confronted head on by a drunken driver going over $80$ miles an hour. A crash was inevitable, and Allison and the other driver were killed instantly. The drunken driver was making a late delivery for Wayland Frozen Foods, Inc.

Legal Considerations

The families of both drivers were devastated by the news of the accident. After the funeral and explaining the situation to the children, Samuel Boone knew he must seek legal redress for his family$$s enormous loss. Following interviews with a number of lawyers, he decided to hire Sloan Whitaker.

Sloan was with a Dallas law firm $($Hanson$,$ Sloan, and Thomason$)$ that specialized in plaintiff$$s lawsuits. He had been in practice for over $20$ years since graduating from Southern Methodist University $($SMU$)$ law school in $1996.$

When Sloan began his investigation on behalf of Samuel Boone and his family, he was surprised to find out the driver of the delivery vehicle had a prior record of alcohol abuse and that Wayland Frozen Foods, Inc. had knowledge of the problem when they hired him. It appears the driver was a relative of the owner and at the time of employment he revealed what he termed $$a past alcoholic problem that was now under control.$$ In any event, he was acting as an employee for Wayland Frozen Foods in using their truck to make a business$-$related delivery at the time of the accident. The fact that he was speeding and intoxicated at the time of the impact only increased the legal exposure for Wayland Frozen Foods.

After much negotiating with the law firm that represented Wayland Frozen Foods $($and its insurance company$),$ Sloan Whitaker received three proposals for an out$-$of$-$court settlement to be paid to Allison Boone$$s family. The intent of the proposals was to replace the future earning$$s power of Allison Boone, less any of the earnings she would have personally needed for her normal living requirements. Also, the value that she provided for her family as a wife and mother, quite aside from her earning power, had to be considered. Finally, there was the issue of punitive damages that Wayland Frozen Foods was exposed to as a result of letting an

unqualified driver operate its truck. If the case went to court, there was no telling how much a jury might assign to this last factor.

The three proposals are listed below. An actuarial table indicated that Allison, age $37$ at the time of the accident, had an anticipated life expectancy of $40$ more years.

Proposal $1$

Pay the family of Allison Boone $$300,000$ a year for the next $20$ years, and $$500,000$ a year for the remaining $20$ years.

Proposal $2$

Pay the family a lump sum payment of $$5$ million today.

Proposal $3$

Pay the family of Allison Boone a relatively small amount of $$50,000$ a year for the next $40$ years, but also guarantee them a final payment of $$75$ million at the end of $40$ years.

In order to analyze the present value of these three proposals, attorney Sloan Whitaker called on a financial expert to do the analysis. You will aid in the process.

Required

$1.$ Assume a discount rate of $6$ percent is used, which of the three projects has the highest present value?

$2.$ Now assume that a discount rate of $11$ percent is used instead of $6$ percent. Which of the three alternatives provides the highest present value?

$3.$ Explain why the change in outcome takes place between question $1$ and question $2.$

$4.$ If Sloan Whitaker thinks additional punitive damages are likely to be $$4$ million in a jury trial, should he be more likely to settle out$-$of$-$court or go before the jury?