$1.$Would you rather receive $$1,000$ a year for $10$ years or $$800$ a year for $15$ years if the interest rate is

$5\%?$ What if the interest rate is $20\%?$ Show calculations to demonstrate your answer.

$2.$ A property will provide $$10,000$ per year forever. If its value is $$125,000,$ what must be the discount

rate?

$3.$What is the present value of a $3-$year annuity of $$100$ if the discount rate is $6\%?$