Answer:
P0 = $45.299899 rounded off to $45.30
Explanation:
The dividend discount model (DDM) can be used to calculate the price of the stock today. DDM calculates the price of a stock based on the present value of the expected future dividends from the stock. The formula for price today under DDM is,
P0 = D1 / (1+r) + D2 / (1+r)^2 + ... + Dn / (1+r)^n + [(Dn * (1+g) / (r - g)) / (1+r)^n]
Where,
- D1, D2, ... , Dn is the dividend expected in Year 1,2 and so on
- g is the constant growth rate in dividends
- r is the discount rate or required rate of return
P0 = 22 / (1+0.19) + 15 / (1+0.19)^2 + 6 / (1+0.19)^3 + 3.2 / (1+0.19)^4 +
[(3.2 * (1+0.04) / (0.19 - 0.04)) / (1+0.19)^4]
P0 = $45.299899 rounded off to $45.30
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Answer:
(a) What is the amount by which Carla Bank's liabilities have changed?
Carla Bank's liabilities increased by $15,000 (bank deposits are liabilities).
(b) Calculate the change in required reserves for Carla Bank.
Carla Bank's reserves must increase by $15,000 x 5% = $750
(c) What is the dollar value of the maximum amount of new loans Carla Bank can initially make because of Christopher's deposit?
Carla Bank can loan $15,000 x 95% = $14,250
(d) Based on the central bank's open-market purchase of bonds, calculate the maximum amount by which the money supply can change throughout the banking system.
Money multiplier = 1 / 5% = 20
The money supply has the potential to increase by $15,000 x 20 = $300,000
(e) How will the change in the money supply in part (d) affect aggregate demand in the short run? Explain.
Aggregate demand will increase since the total money supply increases. This should also help to decrease the interest rates and foster investment.
Answer:
The price of the stock is $66.5
Explanation:
The constant growth model of the DDM approach will be used to calculate the price of such a stock today.
The formula for the constant growth model is,
P0 or V = D0*(1+g) / r - g
As the growth rate in the company's dividedn is negative, the growth rate will be -5%.
The price of the stock is,
P0 = 11.9 * ( 1 - 0.05) / 0.12 + 0.05
P0 = $66.5