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Your current salary is $100,000 (S) per year. If you invest 10 percent (b) of each year's salary in a retirement plan at a guaranteed

  1. Your current salary is $100,000 (S) per year. If you invest 10 percent (b) of each year's salary in a retirement plan at a guaranteed return (i) of 10 percent per year, how much would you have at the end of 30 years, if: A. Your salary is unchanged for the next 30 years? B. Your salary grows (g) at 4, percent per year?

  1. You earn 10%(R1) in year 1.-5%(R2) in year 2 and 25% (R3) in year3

a) What is your arithmetic average return?

b) What is your geometric average return?

c) What is your IRR if you invested $100 at the beginning year 1, $200 at the beginning of year 2 and $300 at the beginning of year 3?

  1. You want to borrow $100 for one year. Bank A charges 6% compounded weekly Bank B charges 5.9% compounded daily. Both rates are APR. Which bank would you prefer to borrow from

  1. You are the manager for a $100 million portfolio, which may be invested in any combination of bonds and stocks.

The following table provides estimates of risk and return for bonds and stocks:

Bonds (#1) Stocks(#2)
Expected Return 15% 25%
Standard Deviation 15%

25%

Correlation between Bonds and Stocks = 0

  1. What are the minimum Risk Portfolio Weights
  2. What is the expected return and standard deviation of the minimum risk portfolio constructed with #1 and #2.

5. Should anybody invest in the following portfolios (Yes or No)

Portfolio

#

Fraction in Bonds (#1)

Fraction in

Stocks (#2)

1 1.0 0.0
2 0.75 0.25

3

4

5

0.5

0.25

0.0

0.5

0.75

1.0

 

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