Question 10.6: Check the numbers given in the above tables.

Check the numbers given in the above tables.

Year 0 1 2 3
Rate 12% 12% 12% 12%
PV of coupon 1 $8.87 $10.00
PV of coupon 2 $7.87 $8.87 $10.00
PV of coupon 3 $6.98 $7.87 $8.87 $10.00
PV of coupon 4 $6.19 $6.98 $7.87 $8.87
PV of face value $61.88 $69.77 $78.66 $88.69
Bond price $91.78 $93.48 $95.40 $97.56
Cashed coupons $108.96 $120.60 $133.26
Additional bonds 1.17 1.26
Number of bonds 10.9 12.06 13.33
Value of investment $1, 000.00 $1, 127.50 $1, 271.25 $1, 433.33

 

Year 0 1 2 3
Rate 12% 10% 10% 10%
PV of coupon 1 $8.87 $10.00
PV of coupon 2 $7.87 $9.05 $10.00
PV of coupon 3 $6.98 $8.19 $9.05 $10.00
PV of coupon 4 $6.19 $7.41 $8.19 $9.05
PV of face value $61.88 $74.08 $81.87 $90.48
Bond price $91.78 $98.73 $99.11 $99.53
Cashed coupons $108.96 $119.99 $132.10
Additional bonds 1.1 1.21
Number of bonds 10.9 12 13.21
Value of investment $1, 000.00 1, 184.65 $1, 309.25 $1, 446.94

 

 

Year 0 1 2 3
Rate 12% 14% 14% 14%
PV of coupon 1 $8.87 $10.00
PV of coupon 2 $7.87 $8.69 $10.00
PV of coupon 3 $6.98 $7.56 $8.69 $10.00
PV of coupon 4 $6.19 $6.57 $7.56 $8.69
PV of face value $61.88 $65.70 $75.58 $86.94
Bond price $91.78 $88.53 $91.83 $95.63
Cashed coupons $108.96 $121.26 $134.46
Additional bonds 1.23 1.32
Number of bonds 10.9 12.13 13.45
Value of investment $1, 000.00 $1, 073.53 $1, 234.85 $1, 420.41

 

Scenario Value after 3 years
12%, 12%, 12%, 12% $1,433.33
12%, 10%, 10%, 10% $1,433.68
12%, 14%, 14%, 14% $1,433.78

 

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The numbers were found using an Excel spreadsheet with accuracy higher
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