Consider the following information regarding the performance of a money manager in a recent month. The table represents the actual return of each sector of the manager’s portfolio in column 1, the fraction of the portfolio allocated to each sector in column 2, the benchmark or neutral sector allocations in column 3, and the returns of sector indices in column 4.
| Actual Return | Actual Weight | Benchmark Weight | Index Return | ||
| Equity | 2.6 | % | 0.4 | 0.6 | 3.1% (S&P 500) |
| Bonds | 1.5 | 0.2 | 0.1 | 1.7 (Barclay’s Aggregate) | |
| Cash | 0.7 | 0.4 | 0.3 | 0.8 | |
a-1. What was the manager’s return in the month? (Do not round intermediate calculations. Input all amounts as positive values. Round your answer to 2 decimal places.)
a-2. What was her overperformance or underperformance? (Do not round intermediate calculations. Input all amounts as positive values. Round your answer to 2 decimal places.)
b. What was the contribution of security selection to relative performance? (Do not round intermediate calculations. Round your answer to 2 decimal places. Negative amount should be indicated by a minus sign.)
c. What was the contribution of asset allocation to relative performance? (Do not round intermediate calculations. Round your answer to 2 decimal places. Negative amount should be indicated by a minus sign.)
In: Finance
Consider the following numerical example using the Solow growth model.
Suppose that F(K, N) = K^(4/13)N^(9/13), Y = zF(K.N).
Furthermore, assume that the capital depreciation rate is d = 0.04, the savings rate is s = 0.3, the population growth rate is n = 0.035, and the productivity is z = 1.75. Suppose K0 = 200 and N0 = 100.
1. Compute the values k1, y1, and c1 of the per-worker capital, output and consumption in period one. Find the steady state per-capita capital stock (k*), output per capita (y*), and consumption per capita (c*).
2. Assume the economy is in the steady state of Question 2, compute the percentage change in z that is needed to increase the long run per capita capital by 5%.
3. Assume the economy is in the steady state of Question 2 and suddenly, z decreases by 10%, calculate the percentage change in s that is needed to keep the long run per capita output unchanged.
4. Assume the economy is in the steady state of Question 2 and n goes down by 5% while z increases by 5% and s increases by 5%. Using the Taylor approximation, evaluate the contribution of each variable to the total change in the steady state consumption c*.
In: Economics
Abstract ‘In the present study, we report an efficient invitro propagation system. Shoot apices of six weeks old in vitro grown G. scabra plants were used as explants for the in vitro propagation. Induction of multiple shoots (9.1/explant) was achieved on the culture of shoot apices on half strength Murashige and Skoog’s basal medium (MSBM) containing 2.0 mg/L−1 6-benzylaminopurine (BA), 3% sucrose and 0.9% Difco agar. In vitro shoots induced profuse rooting on half strength of MSBM supplemented with 0.1 mg/L−1 1-naphthaleneacetic acid (NAA), 3% sucrose and 0.3% gelrite. A two-stage ventilation closure procedure during the in vitro culture, and transparent sachet technique enhanced the survival rate of G. scabra plantlets to 96% in the greenhouse. Tissue culture plants flowered after 5 months of transfer to pots.A simple and an efficient in vitro propagation protocol of Gentiana scabra Bunge by optimizing the medium composition and ventilation closure treatments has been developed. The protocol can be very useful in germplasm conservation and commercial cultivation of G. scabra plants’’.
i. Based on your scientific understanding write the aim and objective for the given abstract and should be written with proper citations(APA format). (one paragraph/maximum 100 words)
In: Biology
An airport limousine can accommodate up to 4 passengers on any one trip. The company will accept a maximum of 6 reservations for a trip, and a passenger must have a reservation. From previous records, 20% of all those making reservations do not show up for the trip. Answer the following questions assuming independence wherever appropriate.
A) Assume that six reservations are made. Let X = the number of customers who have made a reservation and show up for the trip. Find the probability distribution function of X in table form.|
# of reservations |
3 |
4 |
5 |
6 |
|
Probability |
0.1 |
0.2 |
0.3 |
0.4 |
In: Statistics and Probability
Exercises
1. A 25 kVA single-phase transformer has the primary and secondary number of turns of 200 and 400, respectively. The transformer is connected to a 220 V, 50 Hz source. Calculate the (i) turns ratio, and (ii) mutual flux in the core.
2. A 25 kVA, 2200/220 V, 50 Hz single-phase transformer’s low voltage side is short-circuited and the test data recorded from the high voltage side are P=150 W, I1 = 5A and V1 = 40 V. Determine the (i) equivalent resistance, reactance and impedance referred to primary, (ii) equivalent resistance, reactance and impedance referred to secondary.
3. A 30 kVA transformer has the iron loss and full load copper loss of 350 and 650 W, respectively. Determine the (i) full load efficiency, (ii) output kVA corresponding to maximum efficiency, and (iii) maximum efficiency. Consider that the power factor of the load is 0.6 lagging. (97.74%, 13.2 kW, 94.96%).
4. A 2.5 kVA, 200 V/40 V single-phase transformer has the primary resistance and reactance of 3 and 12 Ω, respectively. On the secondary side, these values are 0.3 and 0.1 Ω, respectively. Find the equivalent impedance referred to the primary and the secondary. (17.9ohms, 0.72ohms).
In: Electrical Engineering
A global equity manager is assigned to select stocks from a universe of large stocks throughout the world. The manager will be evaluated by comparing her returns to the return on the MSCI World Market Portfolio, but she is free to hold stocks from various countries in whatever proportions she finds desirable. Results for a given month are contained in the following table:
| Country | Weight
In MSCI Index |
Manager’s Weight |
Manager’s Return in Country |
Return of Stock
Index for That Country |
|||||||||
| U.K. | 0.32 | 0.3 | 25 | % | 15 | % | |||||||
| Japan | 0.45 | 0.2 | 17 | 17 | |||||||||
| U.S. | 0.2 | 0.19 | 10 | 13 | |||||||||
| Germany | 0.03 | 0.31 | 7 | 15 | |||||||||
a.
Calculate the total value added of all the manager’s decisions this
period. (Do not round intermediate calculations.
Round your answer to 2 decimal places. Negative
amount should be indicated by a minus sign.)
b.
Calculate the value added (or subtracted) by her country
allocation decisions. (Do not round
intermediate calculations. Round your answer to 2
decimal places. Negative amount should be indicated by a minus
sign.)
c.
Calculate the value added from her stock selection ability within
countries. (Do not round intermediate calculations. Round
your answer to 2 decimal places. Negative amount should be
indicated by a minus sign.)
In: Finance
There are two traffic lights on a commuter's route to and from work. Let X1 be the number of lights at which the commuter must stop on his way to work, and X2 be the number of lights at which he must stop when returning from work. Suppose that these two variables are independent, each with the pmf given in the accompanying table (so X1, X2 is a random sample of size n = 2). x1 0 1 2 μ = 1.3, σ2 = 0.81 p(x1) 0.3 0.1 0.6 (a) Determine the pmf of To = X1 + X2. to 0 1 2 3 4 p(to) (b) Calculate μTo. μTo = How does it relate to μ, the population mean? μTo = · μ (c) Calculate σTo2. σTo2 = How does it relate to σ2, the population variance? σTo2 = · σ2 (d) Let X3 and X4 be the number of lights at which a stop is required when driving to and from work on a second day assumed independent of the first day. With To = the sum of all four Xi's, what now are the values of E(To) and V(To)? E(To) = V(To) = (e) Referring back to (d), what are the values of P(To = 8) and P(To ≥ 7) [Hint: Don't even think of listing all possible outcomes!] (Enter your answers to four decimal places.) P(To = 8) = P(To ≥ 7) =
In: Statistics and Probability
Swannamotosis is a variant of Neurofibromatosis-type 2. It is an autosomal dominant condition that shows both incomplete penetrance and variable expressivity. Sixty percent of individuals with at least one mutant allele will show the condition in the phenotype. Of those showing the phenotype, 20% have a severe version, 50% have a moderate version, and 30% have a mild version. If two heterozygous parents have a child, what is the chance that is will show the most severe form of the disorder? To calculate this we'll have to multiply _______ X ________ X ________ X _______. If a child of two heterozygous parents, does not have the condition, what is their chance that they do NOT have the allele? ________
Blank 1 Options: 1/2, 1/4, 2/3, 3/4, 1
Blank 2 Options: 0.4, 0.6, I dont need either of these values
Blank 3 Options: 0.2, 0.3, 0.5, I dont need any of these values
Blank 4 Options: 1/4, 1/2, 2/3, 3/4, I dont need any of these values
Blank 5 Options: 1/4 x 0.4 x 0.2, 2/3 x 0.4, 1/4 x 0.4(3.4), (1/4)/(0.4 x (3/4)), (1/4)/((1/4) + 0.4(3.4))
In: Biology
Celine is an analyst for a money management firm. She is asked by her supervisor to estimate the intrinsic value of the common stocks of Pacific Basin Corporation (PBC), so she collects the following information on PBC.
Year
Dividend per share
2019 $1.2
2020 $1.5
2021 $1.8
2022 $2.2
2023 $2.4
She forecasts that the price/earnings ratio for the year 2024 will be 20. In addition, the forecast earnings for the year 2024 are $6.4 per share. The expected market return is 10% and the risk-free rate is 3%. The variance of returns on the market index is 0.3 and the covariance of returns on PBC’s stocks and the market index is 0.45. The weighted average cost of capital of PBC is 10%.
After collecting the information, Celine starts to estimate the value of the common stocks of PBC. Here is the summary of her estimation.
WACC = 10%
Price (2024) = 20($6.4) = $128
Intrinsic value (2017) = 1.2/1.1 + 1.5/1.12 + 1.8/1.13 + 2.2/1.14 +
2.4/1.15 + 128/1.16
= $78.93
As the current market price is $75 per share, which is less than
the intrinsic value of the stocks of PBC, it is recommended to buy
PBC’s stocks
d State one advantage and one challenge of the method you suggested in part (c).
In: Accounting
Consider the following information regarding the performance of a money manager in a recent month. The table represents the actual return of each sector of the manager’s portfolio in column 1, the fraction of the portfolio allocated to each sector in column 2, the benchmark or neutral sector allocations in column 3, and the returns of sector indices in column 4.
| Actual Return | Actual Weight | Benchmark Weight | Index Return | |||||||||
| Equity | 2.6 | % | 0.6 | 0.6 | 3.1% (S&P 500) | |||||||
| Bonds | 1.5 | 0.2 | 0.1 | 1.7 (Barclay’s Aggregate) | ||||||||
| Cash | 0.8 | 0.2 | 0.3 | 0.9 | ||||||||
a-1. What was the manager’s return in the month? (Do not round intermediate calculations. Input all amounts as positive values. Round your answer to 2 decimal places.)
a-2. What was her overperformance or underperformance? (Do not round intermediate calculations. Input all amounts as positive values. Round your answer to 2 decimal places.)
b. What was the contribution of security selection to relative performance? (Do not round intermediate calculations. Round your answer to 2 decimal places. Negative amount should be indicated by a minus sign.)
c. What was the contribution of asset allocation to relative performance? (Do not round intermediate calculations. Round your answer to 2 decimal places. Negative amount should be indicated by a minus sign.)
In: Finance