1. If your investment return last year was 5% and your marginal tax bracket is 1
ID: 2809219 • Letter: 1
Question
1. If your investment return last year was 5% and your marginal tax bracket is 14%, what is your after-tax return?
2. Michael has an investment with the following annual returns the past four years:
Year 1 20%
Year 2 -3%
Year 3 8%
Year 4 4%
What is the arithmetic average return over this four year period?
3. Susan has an investment with the following annual returns the past four years:
Year 1 19%
Year 2 -4%
Year 3 2%
Year 4 10%
What is the geometric average return over this four year period?
4. You are considering refinancing your current mortgage and you are considering a loan with a 7% APR that compounds weekly. What is the Effective Annual Rate (EAR) of this loan?
5. You purchased a stock six months ago for $50 and have since received two quarterly dividend payments of $3 each. The stock currently sells for $56. What is your holding period return on this stock?
6. You have a saving account that you were told has an effective annual return of 20% and compounds daily. What is the Annual Percentage Rate you on this account?
7. An investor purchased a bond for $1,000, received $6 in interest, and then sold the bond for $977 after holding it for seven months. What is the holding period return?
8. The type of risk which CANNOT be eliminated through diversification is:
9.Which of the following would be considered a systematic risk?
10. The risk which a firm may not be able to meets its debt obligations is known as:
a. Unsystematic riskExplanation / Answer
1.
Pre tax return = 5%
Tax rate = 14%
After tax return = Pre tax return * (1-Tax rate) = 5%*(1-0.14) = 4.3%
2.
Arithmetic average = (20%-3%+8%+4%)/4 years = 7.25%
3.
Geometric average = (1.19*0.96*1.02*1.10)1/4 – 1 = 0.0640 = 6.40%
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