Answer the following time value of money questions assuming the interest rate is $10$ percent.

What is the present value of $$1,000$ to be received in four years?

What is the present value of $$1,000$ to be received in eight years?

What will be the value in seven years of $$11,500$ invested today?

How much would you pay for the right to receive $$4,500$ at the end of year $1,$ $$3,500$ at the end of year $2,$ and $$7,500$ at the end of year $5?$

How long will it take for a $$1,500$ investment to double in value?

What will be the value in $20$ years of $$1,300$ invested at the end of each year for the next $20$ years?