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Please help! A bond yield with a face value of $1000 has a current yield of7% an

ID: 2770732 • Letter: P

Question

Please help! A bond yield with a face value of $1000 has a current yield of7% and a coupon rate of 8%. What is the bonds price? a 6 year Circular File bond pays interest of $80 annually andsells for $950. What are its coupon rate, current yield, and yieldto maturity? Please help! A bond yield with a face value of $1000 has a current yield of7% and a coupon rate of 8%. What is the bonds price? a 6 year Circular File bond pays interest of $80 annually andsells for $950. What are its coupon rate, current yield, and yieldto maturity?

Explanation / Answer

Face Value (or) Par Value of theBond         =          $1,000

CurrentYield                                                 =          7%

CouponRate                                                  =          8%

BondsPrice                                                    =          ?

Current Yield = Coupon Payment / Bond Price

0.07               = $80 / Bond Price

Bond Price      = $80 / 0.07

Number of years to Maturity = 6 years

Interest payment                   =$80

Current Bond Price               =$950

Coupon Rate =   Coupon Payment / Face Value

                       =   $80 / $1,000

Current Yield = Coupon Payment / Bond Price

Current Yield = $80 / $950

Yield to Maturity (YTM):

$950 = $80 * [1-1/(1+r)6] / r + $1,000 /(1+r)6

(YTM) r = 9.12% (Using YTM calculator)

Yield to Maturity (YTM) = 9.12%