On $1/1/$X$1,$ Zig purchased bonds having a $$100,000$ par value, with one year of remaining life, and a $6\%$ cash interest payable on $12/31/$X$1.$

On $\frac{1}{1}\frac{?}{?}1,$ the market interest rate was $5\%.$ Based on this information, what was the purchase price of the bonds.

Multiple Choice

$$100,000$

$$100,952$

$$105,000$

$$106,000$