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
Problem 1PS
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Transcribed Image Text:1
23456789
234
A. 8% coupon bond
10 B. Zero-coupon
11
12
13
Sum:
Sum:
Period
1
2
3
4
1
2
3
4
14
15
16 Semiannual int rate: 0.05
Time until
Payment
(Years)
0.5
1
1.5
2
0.5
1
1.5
2
Spreadsheet 16.2
Spreadsheet formulas for calculating duration
Cash Flow
40
40
40
1040
E
PV of CF
(Discount rate =
5% per period)
=D4/(1+$B$16)^B4
=E4/E$8
=D5/(1+$B$16)^B5
=E5/E$8
=D6/(1+$B$16)^B6 =E6/E$8
=D7/(1+$B$16)^B7 =E7/E$8
=SUM(E4:E7)
F
Weight
=SUM(F4:F7)
Column (C)
times
Column (F)
=F4*C4
=F5*C5
=F6*C6
=F7*C7
=SUM(G4:G7)
0
=F10*C10
=D10/(1+$B$16)^B 10 =E10/E$14
=D11/(1+$B$16)^B11=E11/E$14
0
=F11*C11
=F12*C12
0 =D12/(1+$B$16)^B12=E12/E$14
1000 =D13/(1+$B$16)^B13 =E13/E$14 =F13*C13
=SUM(E10:E13)
=SUM(F10:F13) =SUM(G10:G13)

Transcribed Image Text:Find the duration of a bond with a settlement date of May 27, 2023, and maturity date November 15, 2034. The coupon rate of
the bond is 8.5%, and the bond pays coupons semiannually. The bond is selling at a bond-equivalent yield to maturity of 10.0%.
Use Spreadsheet 16.2. (Do not round intermediate calculations. Round your answers to 4 decimal places.)
Answer is complete but not entirely correct.
Macaulay duration
Modified duration
2.7260 X
2.4920 X
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