Is it permissible for a brother to obligate his brother to accept depreciated goods resulting from the investment of inheritance money, despite the latter's objection and desire to receive his share in cash in the original currency?

Your brother is an aggressor by disposing of your father's money without the permission of the heirs, and he is liable for what he has disposed of. Your rights as heirs pertain to the entire estate (real estate, goods, and cash).

What can be divided from the estate must be divided, and what cannot be divided without harm should be sold and its price distributed. If a dispute arises, refer the matter to the judiciary.