Answer To: KING’S OWN INSTITUTE* Success in Higher Education FIN201 INVESTMENT MANAGEMENT T121 24/02/2021 16:10...
Harshit answered on May 09 2021
QUESTION1.
1.
a.
i. The equal-weightedreturn
Company
Value as at 1.1 2020
Value As at 31.12.2020
Return
Return
Weight (equal)
Weight * Return
$
$
$
%
Breadth Ltd
10,000
12,500
2,500
20.0%
0.25
5.0%
Depth Ltd
20,000
15,000
-5,000
-33.3%
0.25
-8.3%
Height Ltd
30,000
33,000
3,000
9.1%
0.25
2.3%
Length Ltd
40,000
48,000
8,000
16.7%
0.25
4.2%
Total
1,00,000
1,08,500
8,500
1
3.1%
Therefore, Return based on “the equal-weighted” = 3.1%
ii. The Price-weighted return
Company
Value as at 1.1 2020
Value As at 31.12.2020
Return
Return
No of Share
Price per unit as on 31.12.2020
Weight based on price
Weight * Return
$
$
$
%
$
Breadth Ltd
10,000
12,500
2,500
20.0%
5,000
2.50
0.21
4.13%
Depth Ltd
20,000
15,000
-5,000
-33.3%
10,000
1.50
0.12
-4.13%
Height Ltd
30,000
33,000
3,000
9.1%
10,000
3.30
0.27
2.48%
Length Ltd
40,000
48,000
8,000
16.7%
10,000
4.80
0.40
6.61%
Total
1,00,000
1,08,500
8,500
12.10
1.00
9.09%
Therefore, Return based on “the Price-weighted” = 9.09%
iii. The value -weighted return
Company
Value as at 1.1 2020
Value As at 31.12.2020
Return
Return
Weight (based on value as on 01.01.2020
Weight * Return
$
$
$
%
Breadth Ltd
10,000
12,500
2,500
20.0%
0.09
1.84%
Depth Ltd
20,000
15,000
-5,000
-33.3%
0.18
-6.14%
Height Ltd
30,000
33,000
3,000
9.1%
0.28
2.51%
Length Ltd
40,000
48,000
8,000
16.7%
0.37
6.14%
Total
1,00,000
1,08,500
8,500
1.00
4.36%
Therefore, Return based on “the Price-weighted” = 9.09%
b. The value-weighted return is providing more accurate calculation compare to Equal-weighted and Price-Weighted as it calculates return of the portfolio based on the amount actually invested or value of portfolio at the beginning of the period. Equal-weighted does not justify the calculation as gives equal importance to each share irrespective of value on the opening date. (Fernholz, R.T. and Fernholz, R., 2020) Price-Weighted also ignores the amount invested gives more importance to shares that have more price, it may be possible that a share price may be very high as compared to other shares un the portfolio. Therefore, Value-Weighted is most accurate calculation to find return of the portfolio comprising of different shares. (Jiang, H., Vayanos, D. and Zheng, L., 2020)
Question-2
2.
a. Given,
Risk Premium (Rf) =10%
Standard Deviation =14%
Risk free...