Suppose that the risk$-$free interest rate is $0\mathrm{.}8\%$ per annum and that the

dividend yield on a stock index is $3\%$ per annum. The index is standing at

$3,800.$ Find the futures price for a contract deliverable in six months using a$)$

no compounding rates, b$)$ annual compounding, and c$)$ continuous

compounding