Answer the following time value of money questions assuming the interest rate is $12$ percent.

What is the present value of $$2,100$ to be received in four years?

What is the present value of $$2,100$ to be received in eight years?

What will be the value in seven years of $$12,600$ invested today?

How much would you pay for the right to receive $$5,600$ at the end of year $1,$ $$4,600$ at the end of year $2,$ and $$8,600$ at the end of year $5?$

How long will it take for a $$2,600$ investment to double in value?

What will be the value in $20$ years of $$2,400$ invested at the end of each year for the next $20$ years?