An investment promises two payments of $$1000,$ on dates $60$ and $90$ days from today.

a$.$ What price will an investor pay today: If their required rate of return is $10\%?($Do not round the intermediate calculations. Round your answer to the nearest cent.$)$

Price $

b$.$ What price will an investor pay today: If their required rate of return is $11\%?($Do not round the intermediate calculations. Round your answer to the nearest cent.$)$

Price

$

c$.$ This part of the question is not part of your Connect assignment.