Assume that securitization combined with borrowing and irrational exuberance in Hyperville have driven up the value of existing financial securities at a geometric rate, specifically from $4 to $8 to $16 to $32 to $64 to $128 over a six-year time period. Over the same period, the value of the assets underlying the securities rose at an arithmetic rate from $4 to $6 to $8 to $10 to $12 to $14. Instructions: Enter your answer as a whole number. If these patterns hold for decreases as well as for increases, by how much would the value of the financial securities decline if the value of the underlying asset suddenly and unexpectedly fell by $6

$120

Explanation:

Given:

• Geometric growth rate of existing financial security:

$4 to $8 to $16 to $32 to $64 to $128

• Arithmetic growth rate of underlying assests:

$4 to $6 to $8 to $10 to $12 to $14

From the values, when the price of the underlying assests is $14, the price of the existing financial security is $128.

We are told to that when values of financial secrities increased from $4 to $128, that of underlying assests also increased from $4 to $14. If patterns hold for decreases as well as for increases. Therefore to get the value of financial securities decline if the value of underlying assests suddenly and unexpectedly fell by $6, we have:

Price of underlying assests when decreased by $6 =

$14-$6 = $8.

Therefore, price of existing financial security decline wil be:

$128-$8 = $120