Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

1. (a) Suppose you plan to invest in a financial asset that will pay a $50 every

ID: 2818135 • Letter: 1

Question

1. (a) Suppose you plan to invest in a financial asset that will pay a $50 every year for the life of the company. You don’t expect the annual payment to ever grow, and similar financial assets have a 10% required rate of return. How much should the financial asset be worth today?

(b) Suppose you plan to invest in a different utility stock that will pay a $50 dividend for the life of the company. You expect the dividend to grow (g) by 1% per year, and similar stocks have a 6% required rate of return. How much should the stock be worth today?

Explanation / Answer

1(a) This is an example of perpetuity without growth

present value of the asset = A/required rate = 50/0.10 = 500

ANSWER : $500

1(b) This is an example of growing perpetuity

present value of the stock = A /(required rate - growth rate) = 50/(0.06 - 0.01) = 1000

ANSWER : $1000