For question 1 and 2 consider the following data:

Consider that in 30/12/2017 the company OldSystems issued several bonds (denoted Bond A) with 3% annual coupons, a face value of $1000 and a maturity of 6 years. The bond pays coupons to bondholders every year on the same day on which they were issued.

Consider that today is 31/12/2019 and you observe that investors are demanding an YTM of 4,662% to buy this bond.

Compute the price of this bond on 31/12/2019.