Q$15$ Freya has accumulated assets of $$350,000$ that she wishes to dedicate to her retirement. Inflation is anticipated to average $2\%$ over the next $20$ years. She plans on retiring in $15$ years. What would be the value of her fund at retirement if Freya can average a $5\%$ after$-$tax rate of return on her accumulated assets?

a$.$ $$520,082.$

b$.$ $$928,654.$

c$.$ $$727,625.$

d$.$ $$467,035$