$10.(2$ points$)$ On $12-31-20,$ Acme entered into an agreement that required Acme to pay someone $$500,000$ on $12-31-32.$ Assume the appropriate market rate of interest for Acme was $5\%.$

$$ As of $12-31-20,$ what was the present value of Acme$$s obligation?

$$ As of $12-31-25,$ what was the present value of Acme$$s obligation?

$11.(2$ point$)$ On $12-31-16,$ Austin entered into an agreement that required Austin to pay a supplier $$1,000$ every year on $12-31$ until $2025.$ The agreement required Austin to make the first annual payment on $12-31-17.$ Assume the market rate of interest for Austin is $2\%.$ As of $12-31-16$ what was the present value of Austin$$s obligation?

$12.(2$ point$)$ On $12-31-16,$ Austin entered into an agreement that required Austin to pay a supplier $$500$ every year on $12-31$ until $2024.$ The agreement required Austin to make the first annual payment on $12-31-16.$ Assume the market rate of interest for Austin is $4\%.$ As of $12-31-16$ what was the present value of Austin$$s obligation?

$13.(2$ points$)$ On $12-31-16,$ Austin entered into an agreement that required Austin to pay a supplier $$300$ every year on $12-31$ until $2030.$ The agreement required Austin to make the first annual payment on $12-31-19.$ Assume the market rate of interest for Austin is $2\%.$ As of $12-31-16$ what was the present value of Austin$$s obligation?

$14.(6$ points$)$ On $12-31-15$ J entered into an agreement allowing J to collect the following:

$$ Starting $12-31-16,$ $$300$ every $12-31$ until $2025.$

$$ On $12-31-26,$ a one$-$time collection of $$3,000.$

$$ Nothing in $2027$ or $2028$

$$ Starting $12-31-29,$ $$500$ every $12-31$ until $12-31-35.$

How much total cash will J eventually collect?

Assume a market interest rate of $4\%.$ As of $12-31-15,$ what was the present value of J$$s receivable?