A bank offers a corporate client a choice between borrowing cash at $11\%$ per annum and borrowing gold at $2\%$ per annum. $($If gold is borrowed, interest must be repaid in gold. Thus, $100$ ounces borrowed today would require $102$ ounces to be repaid in one year.$)$ The risk$-$free interest rate is $9\mathrm{.}25\%$ per annum, and storage costs are $0\mathrm{.}5\%$ per annum. Discuss whether the rate of interest on the gold loan is too high or too low in relation to the rate of interest on the cash loan. The interest rates on the two loans are expressed with annual compounding. The risk$-$free interest rate and storage costs are expressed with continuous compounding.