Question

In: Finance

The present value of a constant growth perpetuity is $100. If the perpetuity pays $5 next...

The present value of a constant growth perpetuity is $100. If the perpetuity pays $5 next year and the discount rate is 10%, by what rate is the perpetuity growing?

Solutions

Expert Solution

Growth rate = Ke - (D1 / P0)

= 10% - ($5 / $100)

= 10% - 5%

= 5%


Growth rate = 5%


Related Solutions

what is the present value of a perpetuity that pays $8.50 per year forever (at the...
what is the present value of a perpetuity that pays $8.50 per year forever (at the end of every year) if the appropriate discount rate is 7%
$15,000 is the present value of Perpetuity A which pays $500 at the beginning of each...
$15,000 is the present value of Perpetuity A which pays $500 at the beginning of each year with the first payment starting today. $6,834 is the present value of Perpetuity B which pays $550 at the beginning of each year, with the first payment starting n years from today. Determine the present value of an annuity-due that makes payments of $55 each year for n years.
​ (Present value of a perpetuity​)  What is the present value of a ​$4,500 perpetuity discounted...
​ (Present value of a perpetuity​)  What is the present value of a ​$4,500 perpetuity discounted back to the present at 14 ​percent? The present value of the perpetuity is $(...)
What is the present value of a constant perpetuity of 25 per year where the required...
What is the present value of a constant perpetuity of 25 per year where the required rate of return is 5%?
eBook Problem 4-27 Present Value of a Perpetuity What is the present value of a perpetuity...
eBook Problem 4-27 Present Value of a Perpetuity What is the present value of a perpetuity of $400 per year if the appropriate discount rate is 10.92%? Round your answer to the nearest cent. $   If interest rates in general were to double and the appropriate discount rate rose to 21.84%, what would its present value be? Round your answer to the nearest cent. $  
Urgently required. What is the present value (PV) today of a stable perpetuity that pays $11,000...
Urgently required. What is the present value (PV) today of a stable perpetuity that pays $11,000 every 3 years, starting 7 years from today? The appropriate annual discount rate is 12% p.a. Round your answer to the nearest dollar. Do not include the $ symbol nor the separating comma, if any Thus, for example, if the PV is $24,323 55 write 24324 in the answer box. IMPORTANT. Use at least 4 decimals in all your intermediate calculations In the case...
Question 1 Part A What’s the present value of a perpetuity that pays $3000 per year...
Question 1 Part A What’s the present value of a perpetuity that pays $3000 per year if the appropriate interest rate is 8%?   Part B You set up a college fund in which you pay $3000 each year at the end of the year. How much money will you have accumulated in the fund after 8 years, if your fund earns 15% compounded annually? Part C What is the effective annual rate (EAR) of 6% compounded monthly? Part D Your...
Perpetuity A pays $100 at the end of each year. Perpetuity B pays $25 at the end of each quarter.
Perpetuity A pays $100 at the end of each year. Perpetuity B pays $25 at the end of each quarter. The present value of perpetuity A at the effective rate of interest is $2,000. What is the present value of perpetuity B at the same annual effective rate of interest i?
Explain why we can use the present value of a no-growth perpetuity to quickly estimate the...
Explain why we can use the present value of a no-growth perpetuity to quickly estimate the value of a relatively long-lived, no-growth financial asset. Make sure you provide a mathematical example.
What’s the present value of a perpetuity that pays $1,000 per year beginning 1 year from...
What’s the present value of a perpetuity that pays $1,000 per year beginning 1 year from now, if the appropriate interest rate is 5%? What would the value be if payments on the annuity began immediately? ($20,000, $21,000. Hint: Just add the $1,000 to be received immediately to the value of the annuity.)
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT