Problem
You are currently working as a bond trader for SitiCluster Investment Bank. The Reserve Bank has just increased interest rates and a client is requesting a quote for the cash price of a particular bond. Your screen below displays the new zero interest rates with continuous compounding.
Maturity (months)
|
Zero rate (% pa)
|
3
|
4.60
|
6
|
4.80
|
9
|
5.30
|
12
|
5.90
|
15
|
6.60
|
The bond has a coupon rate of 6% pa paid quarterly and a face value of $100. The bond matures in 15 months. Using the rates above, calculate the bond price. Give your answer in dollars and cents to the nearest cent.