Answer:
The value of the marginal rate of technical substitution when K = 30 and L = 15 is 1.285
Explanation:
MRTS_KL = MP_L/MP_K
= (7K + 10L - L^2)/7L
= (7*30 + 10*15 - (15)^2)/7*15
= 1.285
Therefore, The value of the marginal rate of technical substitution when K = 30 and L = 15 is 1.285
Answer:
$7,213.40
Explanation:
The computation of the net present value is shown below:
= Present value of all yearly cash inflows after applying discount factor - initial investment
where,
Initial investment is $50,000
And, the present value till 3 year would be
= Annual cash flows × PVIFA factor for 3 years at 12%
= $18,000 × 2.4018
= $42,232.40
And, the present value for fourth year would be
= Annual cash flows × present value factor
= $22,000 × 0.6355
= $13,981
So, the total present value would be
= $43,232.40 + $13,981
= $57,213.40
Since the annual cash flows are same for the three years so we use the PVIFA table
Refer to the PVIFA table
Now put these values to the above formula
So, the value would be equal to
= $57,213.40 - $50,000
= $7,213.40
Answer:
1. $12.31
2. -11.96%
Explanation:
a) Calculation to determine the intrinsic value of a share of Xyrong stock
First step is to calculate the Required Return
Using this formula
Required Return = Risk-free Rate + [Beta * (Expected Market Return - Risk-free Rate)]
Let plug in the formula
Required Return= 5.5% + [2.7 * (17% - 5.5%)]
Required Return= 5.5% + 31.05% = 36.55%
Second step is to calculate g using this formula
g = ROE * (1 - Payout Ratio)
Let plug in the formula
g= 18% * (1 - 0.25)
g= 13.5%
D0 = EPS0 * Payout Ratio = $10 * 0.25 = $2.50
P0 = [D0 * (1 + g)] / [r - g]
= [$2.50 * (1 + 0.135)] / [0.3655 - 0.135]
= $2.8375 / 0.2305 = $12.31
b). Holding Period Return = [P1 + D1 - P0] / P0
= [$8 + $2.8375 - $12.31] / $12.31 = -$1.4727 / $12.31 = -0.1196, or -11.96%
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