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lyudmila [28]
3 years ago
9

Sally received $78,300 of compensation from her employer and she received $540 of interest from a corporate bond. What is the am

ount of Sally's gross income from these items?
Business
1 answer:
zzz [600]3 years ago
5 0

Answer: The amount of sally's gross income from these items is $78,300

Explanation:

Information provided from the question;

Amount received from employer as compensation = $78,300

Amount received as interest from a corporate bond = $540

Gross income is defined as the sum of all wages, salaries, profits, interest payments, rents, and other forms of earnings, before any deductions or taxes. However, the interest income earned from municipal bonds is exempted from all federal income taxes regardless of one's tax bracket. Therefore, the amount of Sally's gross income from these items is $78,300

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Asset A and B have expected returns of 5% and 3% per year respectively. Their annual volatilities are both 20% and the correlati
Novay_Z [31]

Answer:

1. Weight of A=0.5, Weight of B= 0.5

2. Asset A has the highest shape ratio. The weight of A and B in the optimal risky portfolio that has the highest shape ratio is:

Weight of A= 0.105, Weight of B= 0.895

Explanation:

Expected return of Asset A= 5%Expected return of Asset A= 5%

Expected return of Asset B= 3%

Annual volatilities of Asset A= 20%

Annual votalities of Asset B= 20%

1. Correlation coefficient = 30% = 0.3 < 1

Risk Free Rate = 1% =0.01

1. Weight of A and B in portfolio with minimal risk is:

Weight of A= β^2B - Cov (XAXB) /β^2A + β^2B - 2Cov (XAXB)

Therefore,

CovXAXB = PAB (Volatility of A) (Volatility of B)

= 0.3 × 0.2 × 0.2

= 0.012

Hence,

Weight of A= (0.2)^2 - 0.012 / (0.2)^2 + (0.2)^2 - 2(0.012)

Weight of A= 0.04 - 0.012 / 0.04 + 0.04 - 0.024

= 0.028/ 0.08 - 0.024

= 0.028/ 0.056

=0.5

Weight of A = 0.5

Weight of B= 1 - Weight of A

Weight of B= 1 - 0.5

Weight of B= 0.5

2. Shape ratio of A= RA - Rf / β

= 0.05 - 0.01 / 2

= 0.04/2

= 0.02 =20%

Shape ratio of B= RB - Rf / β

= 0.03 - 0.01/ 2

0.02 / 2

=0.01 = 10%

So, Asset A has the highest shape ratio

Cov (XAXB) = PAB (Volatility of A) (Volatility of B)

= 0.03 × 0.2 × 0.1

= 0.006

Weight of A= β^2B - Cov (XAXB) /β^2A + β^2B - 2Cov (XAXB)

Weight of A = (0.1)^2 - 0.006 / (0.2)^2 + (0.1)^2 - 2(0.006)

= 0.01 - 0.006 / 0.04 +0.01 - 0.012

= 0.004/ 0.05 - 0.012

= 0.004/ 0.038

= 0.105

Weight of A = 0.105

Weight of B= 1 - 0.105

Weight of B= 0.895

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