Compute the Mean and Variance of a Lognormal Variable Y

question 84

Essay

Compute the mean and variance of a lognormal variable Y if the mean and the variance of the underlying normal variable are .

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Definitions:

Small Banks

Financial institutions with a smaller asset base and local focus providing banking services to individuals and businesses in their communities.

Primary Reserves

Funds that financial institutions must hold in physical form, such as cash in vaults or deposits with central banks, as a measure of liquidity and financial stability.

Secondary Reserves

Liquid assets held by financial institutions as backup funds for unforeseen needs, not directly utilized in lending or investment.

Required Reserves

The minimum amount of funds that banks are required to hold in reserve against deposits, as mandated by central banks.