On $8/15/2017,$ a bond has exactly nine years left until maturity and a YTM of $6\mathrm{.}40\%.$ The bond has

a coupon rate of $7\mathrm{.}50\%.$

a$.$ What is the quoted price on $8/15/2017?107\mathrm{.}438$

b$.$ Exactly one year later the quoted price is $103\mathrm{.}580$; what is its YTM$?6\mathrm{.}91\%$

c$.$ If$,$ instead, the YTM were still $6\mathrm{.}40\%$ one year later, what would be the price of $$100$

million in par value? $$106,804,148\mathrm{.}50$

d$.$ On $8/15/2017$ what is the current yield? $6\mathrm{.}98\%$

e$.$ Assume the bond is a Treasury, and that $$1,500,000$ in par value is sold on $12/07/2017$ at a

quoted price of $107\mathrm{.}850.$ Compute the accrued interest, the invoice price, and the YTM$.$

$$34,850\mathrm{.}54$; $$1,652,600\mathrm{.}54$; $6\mathrm{.}31\%($If we had assumed the bond was a Corporate,

our answers would have been $$35,000$; $$1,652,750$; $6\mathrm{.}31\%,$ respectively.$)$

f$.$ Assume instead that the bond is a corporate and that $$850,000$ in par value is sold on

$6/28/2018$ at a price of $$1,042\mathrm{.}40$ per contract. Compute the accrued interest, the invoice

price, and the YTM$.$ $$23,552\mathrm{.}08$; $$909,592\mathrm{.}08$; $6\mathrm{.}81\%$

Please explain the work for each question. Especially how to figure out the t value or number of periods used in the formulas.