Wilder Home Products, Incorporated, recently issued $$3\mathrm{.}8$ million worth of $8$ percent convertible debentures. Each convertible bond has a face value of $$1,000.$ Each convertible bond can be converted into $22\mathrm{.}3$ shares of common stock anytime before maturity. The stock price is $$38\mathrm{.}95$ and the market value of each bond is $$1,250.$

a$.$ What is the conversion ratio? $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

b$.$ What is the conversion price? $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

c$.$ What is the conversion premium? $($Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

d$.$ What is the conversion value? $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

e$.$ If the stock price increases by $$3,$ what is the new conversion value? $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$