A C D E F 1 BOND DURATION CALCULATION Yield to Maturity 2 (YTM) 8% 3 Time-Weighted Average Maturity of the Payments Time-Weighted Average Maturity of the Payments Received From the Received From the 4 Year CLA Bond A CLB Bond B 1 70 0.0695 130 0.0901 70 0.1287 130 0.1669 7 3 70 0.1787 130 0.2318 8 4 70 0.2206 130 0.2862 70 0.2553 130 0.3312 10 6 70 0.2837 130 0.3681 11 7 70 0.3065 130 0.3976 12 8 70 0.3243 130 0.4207 13 9 70 0.3378 130 0.4383 14 10 1,070 5.3127 1,130 3.9192 15 16 17 Bond price 932.90 1,335.50 18 19 Estimation of the Macaulay duration using the mathematical formula 20 Duration ?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
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Consider two bonds A and B with payments , where . Bond A has just been issued. Its face value is $1,000, it bears coupon rate of 7%, and it will mature in 10 years. Bond B was issued 5 years ago. This bond has $1,000 face value and bears a 13% coupon rate. When issued, this bond had a 15-year maturity, so its remaining maturity is 10 years. The yield to maturity for both bonds is 8% (see Cell B2 in the spreadsheet below).

 

  1. Using the Excel spreadsheet below estimate the duration of each of the two bonds A (Cell B20) and B (Cell E20) using the Macaulay duration measure. Show your calculations. Which bond has the longest duration?
A
C
D
E
F
1
BOND DURATION CALCULATION
Yield to Maturity
2
(YTM)
8%
3
Time-Weighted
Average Maturity of
the Payments
Time-Weighted
Average Maturity of
the Payments
Received From the
Received From the
4
Year
CLA
Bond A
CLB
Bond B
1
70
0.0695
130
0.0901
70
0.1287
130
0.1669
7
3
70
0.1787
130
0.2318
8
4
70
0.2206
130
0.2862
70
0.2553
130
0.3312
10
6
70
0.2837
130
0.3681
11
7
70
0.3065
130
0.3976
12
8
70
0.3243
130
0.4207
13
9
70
0.3378
130
0.4383
14
10
1,070
5.3127
1,130
3.9192
15
16
17 Bond price
932.90
1,335.50
18
19 Estimation of the Macaulay duration using the mathematical formula
20 Duration
?
Transcribed Image Text:A C D E F 1 BOND DURATION CALCULATION Yield to Maturity 2 (YTM) 8% 3 Time-Weighted Average Maturity of the Payments Time-Weighted Average Maturity of the Payments Received From the Received From the 4 Year CLA Bond A CLB Bond B 1 70 0.0695 130 0.0901 70 0.1287 130 0.1669 7 3 70 0.1787 130 0.2318 8 4 70 0.2206 130 0.2862 70 0.2553 130 0.3312 10 6 70 0.2837 130 0.3681 11 7 70 0.3065 130 0.3976 12 8 70 0.3243 130 0.4207 13 9 70 0.3378 130 0.4383 14 10 1,070 5.3127 1,130 3.9192 15 16 17 Bond price 932.90 1,335.50 18 19 Estimation of the Macaulay duration using the mathematical formula 20 Duration ?
Expert Solution
Step 1

Macaulay Duration is the duration which shows the average time to receive the cash flows from a bond and is measured in years. This shows the holding period of the bond that is it shows the period till when the present value of the cash flows received is equal to the current market price paid for the bond. This technique also measures the sensitivity of the price of the bond with the changes in the rate of interests. 

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