Navarro, Inc., plans to issue new zero coupon bonds with a par value of $1,000 to fund a new project. The bonds will have a YTM of 5.31 percent and mature in 30 years. If we assume semiannual compounding, at what price will the bonds sell?

The bond will sell at $4831.43

Explanation:

Given C = 0, FV = $1000, YTM= 5.31%, n =30 years

BV= ?

BV for a zero coupon bond is = F / (1+r)^-n*t

So we are told there is semi annual compounding

have to calculate

n = 30*2 = 60 periods

r = 5.31/2 = 2.66%

BV = 1000/(1+0.0266)^-60

      =$4831.43

you will have $2593.74 in 10 years if you set aside $1,000 at 10%

you will have $9321.91 in 20 years if you set aside $2000 at 8%

you will have $1469.32 in 5 years if you set aside $1000 at 8%

you will have $1296.87 in 10 years if you set aside $500 at 10%

you will have $239.66 in 15 years if you set aside $100 at 6%

you will have $4660.96 in 20 years if you set aside $1000 at 8%