In: Finance
1. | Calculate the price of a 30-year annual coupon-ed bond with a coupon rate of 5%, a market rate of 7%, and a face value of $1000. | ||||||
n | i | PV | PMT | FV | |||
fill in data … | … fill in data | … fill in data | … fill in data | ||||
put answer here | 2019 Spring2 | ||||||
2. | Calculate the price of a 30-year semiannual coupon-ed bond with a coupon rate of 5%, a market rate of 7%, and a face value of $1000. | ||||||
n | i | PV | PMT | FV | |||
fill in data … | … fill in data | … fill in data | … fill in data | ||||
put answer here | |||||||
3. | In previous Questions 1 and 2, with all the same maturity, coupon rate, market rate and face value, explain why the price of the bond is different. | ||||||
Put your response here: |
n | i | PV | PMT | FV | |||||||
30 | 7% | $50 | $1,000 | ||||||||
$751.82 | |||||||||||
i | Annual Interest rate | 7% | |||||||||
n | Number of coupon payments | 30 | |||||||||
PMT | AnnualCoupon Payment | $50 | (1000*5%) | ||||||||
PV | Price ofbBond | $751.82 | (Using Pv function of excelwith Rate=7%,Nper=30, Pmt=-50, Fv=-1000) | ||||||||
n | i | PV | PMT | FV | |||||||
60 | 3.5% | $25 | $1,000 | ||||||||
put answer here | |||||||||||
n | Number of coupon payments | 60 | (30*2) | ||||||||
PMT | Semi-AnnualCoupon Payment | $25 | (1000*5%)/2 | ||||||||
i | Semi-AnnualInterest Rate | 3.50% | (7/2)% | ||||||||
PV | Price ofbBond | $750.55 | (Using Pv function of excel with Rate=3.5%,Nper=60, Pmt=-25, Fv=-1000) | ||||||||
The Price is different because of different cash flow | |||||||||||
In question 1 there is cash flow once a year | |||||||||||
In question 2 cash flow occurs twice a year | |||||||||||
Bond duration are different |