Question

In: Finance

Suppose you will receive payments of $8,000, $2,000, and $8,000 in 1, 4, and 9 year(s)...

Suppose you will receive payments of $8,000, $2,000, and $8,000 in 1, 4, and 9 year(s) from now, respectively. What is the total present value of this stream of payments if the interest rate is 9%? Enter your response below rounded to 2 decimal places.

Solutions

Expert Solution

Solution :

As per the information given in the question we have

Payment received in 1 year from now = Payment received in year 1 = $ 8,000

Payment received in 4 years from now = Payment received in year 4 = $ 2,000

Payment received in 9 years from now = Payment received in year 9 = $ 8,000

Discount rate = 9 %

Thus the Present value of stream of payments

= [ $ 8,000 * PVIF(9 %, 1) ] + [ $ 2,000 * PVIF(9%,4) ] + [ $ 8,000 * PVIF(9%,9) ]

= [ $ 8,000 * ( 1 / ( 1 + 0.09 ) 1 ) ] + [ $ 2,000 * ( 1 / ( 1 + 0.09 ) 4 )] + [ $ 8,000 * ( 1 / ( 1 + 0.09 ) 9 )]

= [ $ 8,000 * ( 1 / ( 1.09 ) 1 ) ] + [ $ 2,000 * ( 1 / ( 1.09 ) 4 )] + [ $ 8,000 * ( 1 / ( 1.09 ) 9 )]

= ( $ 8,000 * 0.917431 ) + ( $ 2,000 *0.708425 ) + ( $ 8,000 * 0.460428 )

= $ 7,339.449541 + $ 1,416.850422 + $ 3,683.422236

= $ 12,439.722200

= $ 12,439.72 ( when rounded off to two decimal places )

Thus the Present value of stream of payments at 9 % discount rate = $ 12,439.72


Related Solutions

1. You are expecting to receive the following payments: $2,000 in year 4, $8,000 in year...
1. You are expecting to receive the following payments: $2,000 in year 4, $8,000 in year 8. What is the present value of the two payments today, if the interest rate is 5%? 2. Assume you wish to accumulate $100,000 in year 8. You plan to deposit $20,000 today in a bank that guarantees an interest rate of 12%. What additional amount will you have to put in year 5 to achieve this target? 3. You deposited $3,000 in a...
Suppose you will receive payments of $1,000, $10,000, and $9,000 in 1, 6, and 9 year(s)...
Suppose you will receive payments of $1,000, $10,000, and $9,000 in 1, 6, and 9 year(s) from now, respectively. What is the total future value of all payments 13 years from now if the interest rate is 10%?
You will receive the following cash payments as a retirement settlement: Year 1 2 3 4...
You will receive the following cash payments as a retirement settlement: Year 1 2 3 4 5 Amount $10,000 $20,000 $50,000 $50,000 $75,000 In place of the above you are offered a check today for $178,000. Assuming an interest rate of 4%, which would you choose? If an interest rate of 3% was used would this change your selection? Explain.
Suppose you are offered $8,000 today but must make the following payments: Year Cash Flows ($)...
Suppose you are offered $8,000 today but must make the following payments: Year Cash Flows ($) 0 $ 8,000 1 ?4,300 2 ?3,000 3 ?2,100 4 ?1,300 a. What is the IRR of this offer? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) IRR 14.81 % b. If the appropriate discount rate is 13 percent, should you accept this offer? Reject Accept c. If the appropriate discount rate is 20...
1-4 $25,000 per year (payments at the end of the year) 5-9 $20,000 per year (payments...
1-4 $25,000 per year (payments at the end of the year) 5-9 $20,000 per year (payments at the end of the year) Assume an interest rate of 6% compounded annually. Calculate the present value of the stream of cash flows above.
question 1 "You invest $4,600 now and receive $2,000 at the end of year 1, $1,800...
question 1 "You invest $4,600 now and receive $2,000 at the end of year 1, $1,800 at the end of year 2, $1,600 at the end of year 3, and so on. In what year do you break even on your investment? Use the discounted payback approach and assume an annual interest rate of 4.2%, compounded annually. Enter your answer as an integer."
1. Suppose that you will receive annual payments of $27,400 for a period of 20 years....
1. Suppose that you will receive annual payments of $27,400 for a period of 20 years. The first payment will be made 6 years from now. If the interest rate is 8.00%, what is the value of the annuity in year 5, what is the current value of this stream of cash flows? (Do not round intermediate calculations. Round your answer to 2 decimal places.)    a) Value of security in year 5? b) Value of security today? 2. The...
Suppose you are going to receive $14,000 per year for 9 years. The appropriate interest rate...
Suppose you are going to receive $14,000 per year for 9 years. The appropriate interest rate is 10 percent. a. What is the present value of the payments if they are in the form of an ordinary annuity? b. What is the present value if the payments are an annuity due?
Assume that you pay $10,000 to receive $2,000 per year in years 1 through 5. $3,000...
Assume that you pay $10,000 to receive $2,000 per year in years 1 through 5. $3,000 per years in years 6 through 8, and $4,000 in year 9, with cash flows to be received at the end of the year. If you require a 14% rate of return, what is the NPV of these cash flows? PLEASE EXPLAIN HOW TO DO THIS WITH A FINANCIAL CALCULATOR NOT THE FORMULA Step by step. Please give small details that you may think...
Suppose that you are going to receive two payments of $500, the first at the end...
Suppose that you are going to receive two payments of $500, the first at the end of year 3, and the other at the end of year 6. First, draw the time line and mark the time (years) and payments on the timeline. How much are you willing to pay for those cash flows (CFs) today if the current discount rate is 5%? What if the discount rate is 6% instead? How much would you be willing to pay in...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT