A $$1,000$ par value bond was issued $30$ years ago at a $12$ percent coupon rate. It currently has $25$ years remaining to maturity. Interest rates on similar obligations are now $8$ percent. Assume Ms$.$ Bright bought the bond three years ago when it had a price of $$1,005.$ Further assume Ms$.$ Bright paid $30$ percent of the purchase price in cash and borrowed the rest $($known as buying on margin$).$ She used the interest payments from the bond to cover the interest costs on the loan.

a$.$ What is the current price of the bond? Use Table $16-2.($Input your answer to $2$ decimal places.$)$

b$.$ What is her dollar profit based on the bond$$s current price? $($Do not round intermediate calculations and round your answer to $2$ decimal places.$)$

c$.$ How much of the purchase price of $$1,005$ did Ms$.$ Bright pay in cash? $($Do not round intermediate calculations and round your answer to $2$ decimal places.$)$

d$.$ What is Ms$.$ Bright$$s percentage return on her cash investment? Divide the answer to part b by the answer to part c$.($Do not round intermediate calculations. Input your answer as a percent rounded to $2$ decimal places.$)$