Question

In: Finance

What is the present value of an investment with 10% annual compounding and a payment of...

What is the present value of an investment with 10% annual compounding and a payment of $250 at the end of each year forever?

Solutions

Expert Solution

Calculation of the present value of the annuity:

Formula,

Present value of perpetuity = Annual cash flow / Annual Rate

= $250 / 10%

= $2,500 (Answer)

So, the present value of the annuity is $2,500.


Related Solutions

What is the present value of a perpetuity of annual paymentswhere the first payment is...
What is the present value of a perpetuity of annual payments where the first payment is in one year and each payment is $4599.99?
Calculate the present value of the following: a-1. Annual payment of $1,075 for 10 years at...
Calculate the present value of the following: a-1. Annual payment of $1,075 for 10 years at 5% interest. (Do not round intermediate calculations. Round your answer to 2 decimal places.) Present Value: a-2. Annual payment of $875 for 15 years at 5% interest. (Do not round intermediate calculations. Round your answer to 2 decimal places.) Present Value: a-3. Which option would you prefer? 1. $1,075 a year for 10 years 2. $875 a year for 15 years b-1. Annual payment...
Present Value of an Annuity What is the present value of a $400 annuity payment over...
Present Value of an Annuity What is the present value of a $400 annuity payment over 6 years if interest rates are 9 percent? $670.84 $2,013.18 $238.51 $1,794.37
Find the present value of $1,553 discounted for 8 years at 9%. Assume annual compounding. (round...
Find the present value of $1,553 discounted for 8 years at 9%. Assume annual compounding. (round to the nearest whole dollar)
1. What is the relationship between present value and future value? 2. Why is compounding on...
1. What is the relationship between present value and future value? 2. Why is compounding on a monthly basis better than compounding on an annual basis? 3. How do we determine the appropriate discount rate to use when finding present value? 4. What do we mean when we refer to an annuity? What is the difference between an annuity and an annuity due?
Future Value and Compounding What do we mean by the future value of an investment? What...
Future Value and Compounding What do we mean by the future value of an investment? What does it mean to compound interest? How does compound interest differ from simple interest?
Present Value for Various Compounding Periods Find the present value of $575 due in the future...
Present Value for Various Compounding Periods Find the present value of $575 due in the future under each of the following conditions. Do not round intermediate calculations. Round your answers to the nearest cent. 9% nominal rate, semiannual compounding, discounted back 5 years. $   9% nominal rate, quarterly compounding, discounted back 5 years. $   9% nominal rate, monthly compounding, discounted back 1 year. $  
Present Value and Discounting What do we mean by the present value of an investment? The...
Present Value and Discounting What do we mean by the present value of an investment? The process of discounting a future amount back to the present is the opposite of doing what? What do we mean by discounted cash flow, or DCF, valuation?
Assume a 10% annual interest rate. (i) What is the present value of a 25 year,...
Assume a 10% annual interest rate. (i) What is the present value of a 25 year, $900 annuity if the first payment does not occur until 7 years from today? (ii) What would be the present value of a perpetuity with the same characteristics ($900, first payment in 7 six years).
Suppose the interest rate is 12% APR with monthly compounding. What is the present value of...
Suppose the interest rate is 12% APR with monthly compounding. What is the present value of an annuity that pays $200 per month for 4 years? Instruction: Type ONLY your numerical answer in the unit of dollars, NO $ sign, NO comma, and round to one decimal places. E.g., if your answer is $7,001.56, should type ONLY the number 7001.6, NEITHER 7,001.6, $7001.6,$7,001.6, NOR 7002. Otherwise, Blackboard will treat it as a wrong answer.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT