A young graduate has been offered a time$-$share on a condo in Steamboat Springs, Colorado. To be a part owner, the graduate must pay $$1,811\mathrm{.}00$ at the end of each year for the next $19\mathrm{.}00$ years. If the graduate's discount rate is $7\mathrm{.}00\%,$ what is the cost of this opportunity in today's dollars? In other words, what is the most the graduate should be willing to pay today instead of making payments? $$

Answer format: Currency: Round to: $2$ decimal places.

A jet$-$setting lawyer plans on living large on the French Rivera in retirement. The lawyer anticipates living for $22\mathrm{.}00$ more years after retirement and will need $$297,600\mathrm{.}00$ per year to support her life in the South of France. While retired, she will keep her money in a tax$-$free account that pays $4\mathrm{.}00\%$ per year. How much money will the lawyer need when she retires? $($assume beginning of the year withdrawals$)$

Answer format: Currency: Round to: $2$ decimal places.

A despised football coach is scheduled to make $$829,300\mathrm{.}00$ per year for the next $8$ years. The first payment is scheduled to be made exactly one year from today. After a $3-9$ record last year, the athletic department would like to buy out the remaining $8$ years of his contract. The athletic department wants to value the remaining years with a $9\mathrm{.}00\%$ discount rate. The coach's agent would like to use $3\mathrm{.}00\%.$

What is the present value of the athletic department offer? $$

Answer format: Currency: Round to: $2$ decimal places.

A despised football coach is scheduled to make $$829,300\mathrm{.}00$ per year for the next $8$ years. The first payment is scheduled to be made exactly one year from today. After a $3-9$ record last year, the athletic department would like to buy out the remaining $8$ years of his contract. The athletic department wants to value the remaining years with a $9\mathrm{.}00\%$ discount rate. The coach's agent would like to use $3\mathrm{.}00\%.$

What is the present value of the agent's offer? $$

Answer format: Currency: Round to: $2$ decimal places.