$4-$ On January $15,2025,$ you opened a long position on a $2-$year forward on Microsoft stock. The contract is based on $1,000$ stocks. Microsoft was trading at $$475$ at the time, and the interest rate was $4\mathrm{.}2\%$ for all maturities. Assume Microsoft$$s dividend yield is $0\mathrm{.}69\%$ per year with continuous compounding. If today is June $15,2025,$ Microsoft is trading at $$480,$ and interest rates are at $2\mathrm{.}6\%$ for all maturities, what is the value of the contract? $(15$ points$)5-$ On October $1,2024,$ an investor entered an FRA in which she will receive $5\mathrm{.}6\%$ per year for a three$-$month period starting on August $1,2025,$ on a principal of $$1,000,000.$ Today is June $1,2025.$ The forward rate for the three$-$month period starting on August $1,2025,$ is $6\mathrm{.}8\%,$ and the risk$-$free spot rate for August $1,2025,$ is $5\mathrm{.}5\%.$ What is the value of the FRA for the investor today? All the rates in this problem are shown in continuous compounding $(15$ points$)$