Hannon Home Products Inc. recently issued $$3\mathrm{.}7$ million worth of $9$ percent convertible debentures. Each convertible bond has a face value of $$1,000.$ Each convertible bond can be converted into $22\mathrm{.}2$ shares of common stock anytime before maturity. The stock price is $$38\mathrm{.}85,$ and the market value of each bond is $$1,240.($Do not round intermediate calculations. Round the answers to $2$ decimal places. Omit $ sign in your response.$)$

a$.$ What is the conversion ratio?

Conversion ratio

b$.$ What is the conversion price?

Conversion price $

c$.$ What is the conversion premium?

Conversion premium

$\%$

d$.$ What is the conversion value?

Conversion value $

e$.$ If the stock price increases by $$2,$ what is the new conversion value?

Conversion value $