Answer:
Stock price today $26.34
Explanation:
The stock price today is the sum of the present value of the future cash flows(dividends) payable by the stock to investors using the 11% reuired rate of return as the discount rate:
Years Cash flows Discount factor Present values
1 $3.90 1/(1+11%)^1=0.900900901 $3.51
2 $8.05 1/(1+11%)^2=0.811622433 $6.53
3 $10.90 1/(1+11%)^3=0.731191381 $7.97
4 $12.65 1/(1+11%)^4=0.658730974 $8.33
Total present values =$3.51+$6.53+$7.97+$8.33=$26.34
Answer:
Price of stock = $57.26
Explanation:
According to the dividend valuation model , the current price of a stock is the present value of the expected future dividends discounted at the required rate of return.
So we will discount the steams of dividend using the required rate of 11% as follows:
Year Present Value(PV)
1 $3.90 × 1.11^(-1) = 1.486
2 $8.05× 1.11^(-2) = 1.322
3 $10.90× 1.11^(-3) = 1.2064
Year 4 and beyond
This is annuity of 12.65 for four years. So the steams of constant amount would be discounted as follows:
PV = A × (1- (1+r)^(-n) )/r
A- 12.65, r - 0.11, n - 4
PV = 12.65 × (1- 1.11^(-4))/0.11 = 39.24593797
Total PV= 1.486 + 1.322 + 1.2064 + 39.24= $57.26
Price of stock = $57.26
