Question

In: Finance

1. Calculate the price of a 30-year annual coupon-ed bond with a coupon rate of 5%,...

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:

Solutions

Expert Solution

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

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