You are considerinf a $5-$year, $8\%$ coupon bond with semiannual payments with a par value of $$1,000$: $($Assume that the bond has just been issued.$)$

Basic Input Data: period cashflows

Years to maturity: $50$ bond price

Periods per year: $2140$

Periods to maturity: $10240$

Coupon rate: $8\%$ yearly rate $340$

Par value: $$1,000440$

Periodic payment: $$40$ every $6-$month $540$

YTM $6\%$ yearly rate $640$

$740$

$840$

$940$

$101040$

a$.$ What is the bond's price if YTM is $6\%?$

Price$=$ $$272\mathrm{.}07$

b$.$ What is the bond's current yield if YTM$=6\%?$

current yield$=?$

c$.$ What is the bond's price if YTM suddently jumps to $10\%?$

Price$=?$