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3. Consider an individual who has the possibility of investing an amount t in period 1 in a fund that gives an amount s in pe

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Answer #1

(a) Smallest return optimal for consumer to accept investment,s=return he would get had he invested in a similar investment with compound interest r and capital t

=P((1+r)^n)

Here n=1,P=t

Therefore Return s=t(1+r)

b)t=100,s=115

From the above equation,

s=t(1+r)

115=100(1+r)

1+r=1.15

r=.15=15%

This is the highest interest rate for the given s and t.Any higher than this and investor would prefer a higher return compared to the given return for s higher interest rate.

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