kfitzgerald3648 kfitzgerald3648
  • 06-02-2020
  • Mathematics
contestada

What is the present value of a $50,000 decreasing perpetuity beginning in one year if the discount rate is 7% and the payments decline by 4% annually?

Respuesta :

MrRoyal
MrRoyal MrRoyal
  • 07-02-2020

Answer:

Present Value = $1666666.67

Step-by-step explanation:

Present Value of a Growing Perpuity is calculated using the following formula

PV =D/(r - g)

Where D = Dividend

r = Discount Rate

g = Growth rate

D = $50,000

r = 7%

r = 7/100

r = 0.07

g = 4%

g = 4/100

g = 0.04

PV = D/(r-g)

Becomes

PV = $50,000/(0.07-0.04)

PV = $50,000/0.03

PV = $1,666,666.67

So the Present Value of the perpuity is $1,666,666.67

Answer Link

Otras preguntas

Eight friends share 12 pies equally. How many pies does each person get?
At a baseball game, there were three times as many males as females. 5/6 of the males were boys and the rest were men. 2/3 of the females were girls and the r
Explain why the result is always the original number followed by your age
what was the nickname of the tariff of 1828? who called it that and why?
Reggie picked 3 3/4 quarts of blueberries and 4 1/3 quarts of raspberries at a fruit farm. About how many total of berries did he pick?
Write 9 and 250 thousandths as a mixed number
Widespread deforestation is a MAJOR factor in causing what ecological process? A) famine B) erosion C) tornadoes D) blizzards
ENIAC was the first instance of what?
The Committee of Correspondence was initiated by A. Samuel Adams. B. Ben Franklin. C. John Adams. D. Patrick Henry.
Who mostly lived in tenement houses during the nineteenth and twentieth century? a.middle class b.upper class c.lower class d.aristocracy