In: Finance
Please write out formula and steps
A bond is currently sold at $980, it has 20 years to maturity and 9% coupon rate. The bond will be called in 5 years, the bond will be called at a premium of $1,050 of $1,050, what is the yield to call?
Face value | $1,000 | ||||||
Coupen annually | 9% | ||||||
Coupen amount | $90 | ||||||
RemainingMaturity years | 15 | ||||||
Bond Price | $1,050.00 | ||||||
YTM : | |||||||
Price of bond = | Coupen * PVAF( YTM, Maturity) + Redemption value * PVF( YTM,Maturity) | ||||||
Here bond price is greater than face value hence YTM be less than Coupen rate | |||||||
Therefore lets assume YTM be 8% | |||||||
Price of bond = | 90*PVAF(8%,15) + 1000*PVF(8%,15) | ||||||
90*8.5595+1000*.3152 | |||||||
1085.555 |
at coupen rate price of bond will be same as face value that is $1000
There fore YTm is between 8% and 9%
YTM = | 8% +{ (1085.555-1050/(1085.555-1050)+ (1050-1000) } *(9-8) | ||||
8% + 35.555/85.555 | |||||
8.42% |