Consider the following information: Rate of Return If State Occurs State of Probability of Economy State of Economy Stock A Stoc
k B Stock C Boom .58 .08 .17 .37 Bust .42 .14 .06 −.04 a. What is the expected return on an equally weighted portfolio of these three stocks? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b. What is the variance of a portfolio invested 20 percent each in A and B and 60 percent in C? (Do not round intermediate calculations and round your answer to 6 decimal places, e.g., .161616.)
1 answer:
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Answer:
a) Qs = 50 + 20p - 7ps
= 50 + 20p - 7×(2)
= 50 + 20p - 14
= 36 + 20p
At equilibrium, =
So, 150 - 10p + 5 = 36 + 20p
So, 20p + 10p = 30p
= 150 - 36 + 5
= 114 + 5
So, p = (114/30) + (5/30)
= 3.8 + 0.17
Thus, = 3.8 + 0.17
Q = 36 + 20p
= 36 + 20(3.8 + 0.17)
= 36 + 76 + 3.4
= 112 + 3.4
Thus, = 112 + 3.4
b) = 3.8 + 0.17
= 3.8 + 0.17×(5)
= 3.8 + .85
= 4.65
= 112 + 3.4
= 112 + 3.4(5)
= 112 + 17
= 129
c) Qd = 150 - 10p + 5pb = 150 - 10(2.5) + 5(5) = 150 - 25 + 25 = 150
Qs = 36 + 20p = 36 + 20(2.5) = 36 + 50 = 86
Thus, there is excess demand as >
d) New = 180 - 10p + 5
= 180 - 10p + 5×(5)
= 180 - 10p + 25
= 205 - 10p
Now, new =
gives,
205 - 10p = 36 + 20p
So, 20p + 10p = 205 - 36
So, 30p = 169
So, p = 169÷30
So, = 5.63
Q = 205 - 10p = 205 - 10×(5.63) = 205 - 56.3 = 148.7
So, = 148.7
Answer:
Bond Price = $877.3835955 rounded off to $877.380
Explanation:
To calculate the price of the bond, we need to first calculate the coupon payment per period. We assume that the interest rate provided is stated in annual terms. As the bond is an annual bond, the coupon payment, number of periods and r or YTM will be,
Coupon Payment (C) = 0.064 * 1000 = $64
Total periods (n)= 25
r or YTM = 7.5% or 0.075
The formula to calculate the price of the bonds today is attached.
Bond Price = 64 * [( 1 - (1+0.075)^-25) / 0.075] + 1000 / (1+0.075)^25
Bond Price = $877.3835955 rounded off to $877.380
