Expected rate of return Probabilities
Booming 22% 5%
Normal 15% 92%
Recession 2% 3%
The expected rate of return on this stock is solved by multiply each expected rate of return to its corresponding probability and getting the sum of all products.
Booming: 0.22 x 0.05 = 0.011
Normal: 0.15 x 0.92 = 0.138
Recession 0.02 x 0.03 =<u> 0.0006</u>
Sum total 0.1496 or 14.96% is the expected rate of return on this stock
Answer:
Bond price=$888.35
Explanation:
<em>The value of the bond is the present value (PV) of the future cash receipts expected from the bond. The value is equal to present values of interest payment plus the redemption value (RV) discounted at the yield rate</em>
<em>Value of Bond = PV of interest + PV of RV</em>
The value of bond for Local School District can be worked out as follows:
Step 1
PV of interest payments
PV = A × (1+r)^(-n)/r
A-annul interest payment:
= 7.5% × 1,000× = 75
r-Annual yield = 8.6%
n-Maturity period = 25
PV of interest payment:
=75× (1- (1+0.086)^(-25)/0.086)
= 761.22
Step 2
<em>PV of Redemption Value</em>
= 1000 × (1.017)^(-25)
= $127.131
Step 3
<em>Price of bond</em>
=761.222 + 127.13
=$888.35
Answer:
(a) 0.7
(b) 3.33
(c) -$210
(d) -$147
(e) -$1 trillion
Explanation:
(a) Marginal propensity to consume (MPC) = 0.7
(b) Multiplier of this economy:
= 3.33
(c) Decrease government purchases by $300 billion,
Initial change in consumption = Change in government purchases × MPC
= $300 × 0.7
= -$210 billion
(d) This decreases income yet again, causing a second change in consumption equal to:
= Initial change in consumption × MPC
= -$210 × 0.7
= -$147 billion
(e) The total change in demand resulting from the initial change in government spending is:
= Change in government purchases × Multiplier
= $300 × 3.33
= -$1 trillion
They have no clean water!
