A company has a policy of requiring a rate of return on investment of $10\%.$ Two investment alternatives are available but the company may choose only one. Alternative $1$ offers a return of $$$$25$ comma $000$ at the end of year three$,$$$75$ comma $000$ at the end of year six and $$$$50$ comma $000$ after eleven years. Alternative $2$ will return the company $$$$700$ at the end of each month for the next eleven years. Compute the present value of each alternative and determine the preferred alternative according to the discounted cash flow criterion.

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Part $1$

The present value of Alternative $1$ is $$$

$$

enter your response here.

$($Round to the nearest dollar as needed. Round all intermediate values to six decimal places as$$ needed.$)$

Part $2$

The present value of Alternative $2$ is $$$

$$

enter your response here.

$($Round to the nearest dollar as needed. Round all intermediate values to six decimal places as$$ needed.$)$

Part $3$

The preferred choice is

$$

Alternative $1.$

Alternative $2.$