Question

(Present value of annuity​ payments)  The state​ lottery's million-dollar payout provides for ​$1.5 million to be pa...

(Present value of annuity​ payments)  The state​ lottery's million-dollar payout provides for ​$1.5 million to be paid in 20 installments of ​$75000 per payment. The first ​$75000 payment is made​ immediately, and the 19 remaining ​$75000 payments occur at the end of each of the next 19 years. If 8 percent is the discount​ rate, what is the present value of this stream of cash​ flows? If 16 percent is the discount​ rate, what is the present value of the cash​ flows?

0 0
Add a comment Improve this question Transcribed image text
Answer #1

Present value of annuity due=(1+rate)*Annuity[1-(1+interest rate)^-time period]/rate

At 8%:

Present value=1.08*75000[1-(1.08)^-20]/0.08

=$75000*10.6035992

=$795,269.94

At 16%:

Present value=1.16*75000[1-(1.16)^-20]/0.16

=$75000*6.877455443

=$515,809.16(Approx).

Add a comment
Know the answer?
Add Answer to:
(Present value of annuity​ payments)  The state​ lottery's million-dollar payout provides for ​$1.5 million to be pa...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • (Present value of annuity​ payments)  The state​ lottery's million-dollar payout provides for ​$1.5 million to be...

    (Present value of annuity​ payments)  The state​ lottery's million-dollar payout provides for ​$1.5 million to be paid in 20 installments of ​$75000 per payment. The first ​$75000 payment is made​ immediately, and the 19 remaining ​$75000 payments occur at the end of each of the next 19 years. If 8 percent is the discount​ rate, what is the present value of this stream of cash​ flows? If 16 percent is the discount​ rate, what is the present value of the...

  • Present value of annuity​ payments)  The state​ lottery's million-dollar payout provides for ​$1.1 million to be...

    Present value of annuity​ payments)  The state​ lottery's million-dollar payout provides for ​$1.1 million to be paid in 20 installments of ​$55000 per payment. The first ​$55000 payment is made​ immediately, and the 19 remaining ​$55000 payments occur at the end of each of the next 19 years. If 12 percent is the discount​ rate, what is the present value of this stream of cash​ flows? If 24 percent is the discount​ rate, what is the present value of the...

  • ​(Present value of annuity​ payments) The state​ lottery's million-dollar payout provides for ​$1 million to be...

    ​(Present value of annuity​ payments) The state​ lottery's million-dollar payout provides for ​$1 million to be paid in 20 installments of ​$50,000 per payment. The first ​$50,000 payment is made​ immediately, and the 19 remaining ​$50,000 payments occur at the end of each of the next 19 years. If 6 percent is the discount​ rate, what is the present value of this stream of cash​ flows? If 12 percent is the discount​ rate, what is the present value of the...

  •  ​(Present value of annuity​ payments)  The state​ lottery's million-dollar payout provides for ​$1 million to be...

     ​(Present value of annuity​ payments)  The state​ lottery's million-dollar payout provides for ​$1 million to be paid in 25 installments of ​$40000 per payment. The first ​$40000 payment is made​ immediately, and the 24 remaining ​$40000 payments occur at the end of each of the next 24 years. If 6 percent is the discount​ rate, what is the present value of this stream of cash​ flows? If 12 percent is the discount​ rate, what is the present value of the...

  •  ​(Present value of annuity​ payments)  The state​ lottery's million-dollar payout provides for ​$1.4 million to be...

     ​(Present value of annuity​ payments)  The state​ lottery's million-dollar payout provides for ​$1.4 million to be paid in 20 installments of ​$70 comma 000 per payment. The first ​$70 comma 000 payment is made​ immediately, and the 19 remaining ​$70 comma 000 payments occur at the end of each of the next 19 years. If 11percent is the discount​ rate, what is the present value of this stream of cash​ flows? If 22 percent is the discount​ rate, what is...

  •  ​(Present value of annuity​ payments)  The state​ lottery's million-dollar payout provides for ​$1.4 million to be...

     ​(Present value of annuity​ payments)  The state​ lottery's million-dollar payout provides for ​$1.4 million to be paid in 25 installments of ​$56 comma 000 per payment. The first ​$56 comma 000 payment is made​ immediately, and the 24 remaining ​$56 comma 000 payments occur at the end of each of the next 24 years. If 11 percent is the discount​ rate, what is the present value of this stream of cash​ flows? If 22 percent is the discount​ rate, what...

  • (Related to Checkpoint​ 6.2)  ​(Present value of annuity​ payments)  The state​ lottery's million-dollar payout provides for...

    (Related to Checkpoint​ 6.2)  ​(Present value of annuity​ payments)  The state​ lottery's million-dollar payout provides for ​$1.11.1 million to be paid in 2525 installments of ​$44 comma 00044,000 per payment. The first ​$44 comma 00044,000 payment is made​ immediately, and the 2424 remaining ​$44 comma 00044,000 payments occur at the end of each of the next 2424 years. If 77 percent is the discount​ rate, what is the present value of this stream of cash​ flows? If 1414 percent is...

  • ​(Related to Checkpoint​ 6.2)  ​(Present value of annuity​ payments)  The state​ lottery's million-dollar payout provides for...

    ​(Related to Checkpoint​ 6.2)  ​(Present value of annuity​ payments)  The state​ lottery's million-dollar payout provides for ​$1.21.2 million to be paid in 2020 installments of ​$60 comma 00060,000 per payment. The first ​$60 comma 00060,000 payment is made​ immediately, and the 1919 remaining ​$60 comma 00060,000 payments occur at the end of each of the next 1919 years. If 77 percent is the discount​ rate, what is the present value of this stream of cash​ flows? If 1414 percent is...

  •  The state​ lottery's million-dollar payout provides for ​$1.4 million to be paid in 20 installments of...

     The state​ lottery's million-dollar payout provides for ​$1.4 million to be paid in 20 installments of ​$70 comma 000 per payment. The first ​$70, 000 payment is made​ immediately, and the 19 remaining ​$70,000 payments occur at the end of each of the next 19 years. If 9 percent is the discount​ rate, what is the present value of this stream of cash​ flows? If 18 percent is the discount​ rate, what is the present value of the cash​ flows?...

  • The state​ lottery's million-dollar payout provides for ​$1.21 million to be paid in 20 installments of...

    The state​ lottery's million-dollar payout provides for ​$1.21 million to be paid in 20 installments of ​$60,000 per payment. The first ​$60,000 payment is made​ immediately, and the 19 remaining $60,000 payments occur at the end of each of the next 19 years. If 8 percent is the discount​ rate, what is the present value of this stream of cash​ flows? If 16 percent is the discount​ rate, what is the present value of the cash​ flows?

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT