A biotechnology company$,$ Keros TherapeuticsKeros Therapeutics$,$ completed its IPO on April$8,20202020,$ and listed on the Nasdaq. KerosKeros sold $6$ comma $000$ comma $0006,000,000$ shares of stock to primary market investors at an IPO offer price of $ $17\mathrm{.}14$$$17\mathrm{.}14,$ with an underwriting discount of $6\mathrm{.}16\mathrm{.}1\%.$ Secondary market$$ investors, however, were paying $$$$20\mathrm{.}9420\mathrm{.}94$ per share for KerosKeros$\text{'}19$ comma $189$ comma $39119,189,391$ shares of stock outstanding $($which includes the$$ newly$-$issued $$shares$).$

a$.$ Calculate the total proceeds for KerosKeros$\text{'}$ IPO.

b$.$ Calculate the dollar amount of the underwriting fee for KerosKeros$\text{'}$ IPO.

c$.$ Calculate the net proceeds for KerosKeros$\text{'}$ IPO.

d$.$ Calculate market capitalization for KerosKeros$\text{'}$ outstanding stock.

e$.$ Calculate IPO underpricing for KerosKeros$\text{'}$ IPO.

f$.$ Explain the IPO underpricing for KerosKeros.

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Part $1$

a$.$ The total proceeds for KerosKeros$\text{'}$ IPO is $$$enter your response here. $($Round to the nearest$$ dollar.$)$

Part $2$

b$.$ The dollar amount of the underwriting fee for KerosKeros$\text{'}$ IPO is $$$enter your response here. $($Round to the nearest$$ dollar.$)$

Part $3$

c$.$ The net proceeds for KerosKeros$\text{'}$ IPO is $$$enter your response here. $($Round to the nearest$$ dollar.$)$

Part $4$

d$.$ KerosKeros$\text{'}$ market capitalization is $$$enter your response here. $($Round to the nearest$$ dollar.$)$

Part $5$

e$.$ KerosKeros$\text{'}$ IPO underpricing is enter your response here$\%.($Round to two decimal$$ places.$)$

Part $6$

f$.$ Explain the IPO underpricing for KerosKeros.

$"$Positive underpricing indicates that$$ secondary$-$market investors were willing to pay more for the$$ company's shares than the IPO offer price that the shares were sold for in the primary$$ market."