. You are a small money manager managing $9,000,000 in assets. Your investment p
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Question
. You are a small money manager managing $9,000,000 in assets. Your investment portfolio consists of 10% T-bills (with an estimated beta = 0), 15% bonds (with an estimated beta = 0.70), 35% mid-cap stocks (with an estimated beta = 1.00), and 40% growth stocks (with an estimated beta = 1.40).
The risk-free rate, rRF, is 3.5%. The market risk premium, (rM - rRF), is 5.0%. What is the required rate of return on your investment portfolio?
If you switch $450,000 out of T-bills and invest $300,000 of it in growth stocks and $150,000 of it in mid-cap stocks, what would be the required rate of return on your portfolio?
Explanation / Answer
ruturn on T- bills 10% of investment is, i.e $900,000 (return is 3.5%, i.e. $31,500)
15% investment on bonds, i.e. $1,350,000
return= 3.5 + 0.7 X 5= 7%, i.e. 7% on 1,350,000= $94,500
35% investment on mit cap stock, i.e. $3,150,000
return= 3.5+ 1X5= 8%, i.e. 8% on 3,150,000= $252,000
40% investment on growthstock, i.e. $3,600,000
return= 3.5 + 1.4X5= 10.5%, i.e. 10.5% on 3,600,000= 378,000
total return on portfolio= $756,000
if 450,000 is shifts from T bills to 300,000 into growth stock and 150,000 into mid stocks, then the return will be:
investment on growth stock= 4,050,000 and return is 10.5%,i.e.= 425,250
investment on mid cap stocks= 3,300,000 and return is 8%= 264,000
then portfolio return= 799,500
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