$4.$ Suppose that an asset's value is $$100$ at year $0,$ $$200$ at year $1,$ $$100$ at year $2,$ and $$50$ at year $3.$ Find the arithmetic average annual return $(\%$ return$)$ and the geometric average annual return $(\%$ return$).$ a$.$ A money market fund with an average maturity of $30$ days offering a current yield of $3\%$ per year. b$.$ A $1-$year savings deposit at a bank offering an interest rate of $4\%.$ c$.$ A $20-$year U$.$S$.$ Treasury bond offering a yield to maturity of $5\%$ per year.