Calculate the Yield to Maturity for the following assets:

a$.$ Simple Loan, whose price today is $$1,000$ and requires a payment of $$1,200$ in three years.

b$.$ A coupon bond whose coupon rate is $10\%,$ today's price is $$1,000,$ and the face value will be $$1,200$ in two years.

c$.$ Which option $($simple loan versus coupon bond$)$ would you prefer if you had $$1,000$ to invest? Why?