In: Economics
Key Data
n | 12 (years to maturity) |
m | 11 (payments per year) |
nom. interest rate | 2.4% |
Par value | 16,944 |
bond rate | 3.8% |
Find: | Purchasing Price, P |
given
n = 12
r = 2.4% per year
coupon rate = 3.8%
fv = 16944
coupon per year = 3.8%*16944 = 643.872
m = 11 payments per year
coupon per m = 643.872/11 = 58.533
we need to find price. To find that we can use pv fucntion in excel
=PV(2.4%/11,12*11,58.533,16944,0)
=19415.03
Here price is higher than fv, i.e this is premium bond. coupon rate > interest rate.