2 answers

Rate of return

Question:

NU YU announced today that it will begin paying annual dividends. The first dividend will be paid next year in the amount of $.20 a share. The following dividends willbe $.30, $.45, and $.60 a share annually for the following three years, respectively. After that, dividends are projected to increase by 4.4 percent per year. How muchare you willing to pay today to buy one share of this stock if your desired rate of return is 13 percent?

Answers

This answer is corrected. The original approach and equation listed were correct. I mistyped one of the sign when ientered it in my calculator and thats why i got the wrong final number. Here it is again, but corrected.

where i is the rate of return and g is the annual growth rate

That is the general equation to a set dividend one year from now that grows at a certain rate. We will have to use a slightly more complex model.

Price = PV of first dividend + PV of second dividend + PV of third dividend + PV of fourth dividend + PV of all future divididends growing at arate of 4.4% =

You would be willing to pay $5.56

The first 4 terms are simple present values of future payments.

The last term is the present value of the stock according to the next dividend(which increased by 4.4% from the previous year) discounted back to time zero.

.

where i is the rate of return and g is the annual growth rate

That is the general equation to a set dividend one year from now that grows at a certain rate. We will have to use a slightly more complex model.

The first 4 terms are simple present values of future payments. The last term is the present value of the stock according to the next dividend(which increased by 4.4% from the previous year) discounted back to time zero.

.

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