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Tems11 [23]
2 years ago
7

You will require $620 in 5 years. If you earn 5% interest on your funds, how much will you need to invest today in order to reac

h your savings goal? (Do not round intermediate calculations. Round your answer to 2 decimal places.)
Business
1 answer:
brilliants [131]2 years ago
8 0

Answer:

Present value of money invested = 485.79 (Approx)

Explanation:

Given:

Future value = $620

Number of years = 5 years

Present value = ?

Rate of interest = 5% = 5/100 = 0.05

Computation of Present value of money invested:

Present value = \frac{Future\ value}{(1+r)^n}\\\\

Present \  value = \frac{Future\ value}{(1+r)^n}\\\\Present \  value = \frac{620}{(1+0.5)^5}\\\\Present \  value = \frac{620}{(1.5)^5}\\\\Present \  value = \frac{620}{1.277628156}\\\\Present \  value =485.786224

Present value of money invested = 485.786224

Present value of money invested = 485.79 (Approx)

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You are considering investing $1,000 in a complete portfolio. The complete portfolio is composed of Treasury bills that pay 5% a
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Answer:

amount to be investment in risky portfolio =  $405

amount invest in security x = $243

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Explanation:

given data

investing = $1,000

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optimal weights of X = 60 %

optimal weights of Y = 40 %

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solution

we know that

                      weight                     return                     return from risky port

X                     60 %                         14 %                       8.4 %

Y                     40 %                          10 %                       4%

total                                                                                 12.4 %

so here

return from risky portfolio is = 12.4 %

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solve we get

x = 0.405

so investment in risky portfolio = 0.405

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and

amount to be investment in risky portfolio = $1000 × 0.405

amount to be investment in risky portfolio =  $405

and

amount invest in security x = $405 × 60%

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and

amount invested in security Y = $405 × 60%

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