On January $1,$ Year $1,$ Lathrop Co$.$ authorizes and issues $$300,000,5\%$ interest$-$bearing bonds. The bonds mature December $31,$ Year $5,$ and pay interest semiannually on June $30$ and December $31.$ Compute the selling price of the bonds under three different market rate assumptions.

Select one:

a$.$

Market Rate $5\%$ Market Rate $6\%$ Market Rate $4\%$

$$300,000$ $$287,205$ $$313,474$

b$.$

Market Rate $5\%$ Market Rate $6\%$ Market Rate $4\%$

$$300,000$ $$222,719$ $$263,501$

c$.$

Market Rate $5\%$ Market Rate $6\%$ Market Rate $4\%$

$$300,000$ $$351,181$ $$380,843$

d$.$

Market Rate $5\%$ Market Rate $6\%$ Market Rate $4\%$

$$300,000$ $$277,920$ $$324,333$