APPENDIX B TIME VALUE OF MONEY B-1 Missing Factors 10 minutes This assignment uses the annuity table.
Trang 1APPENDIX B TIME VALUE OF MONEY
B-1 Missing Factors (10 minutes)
This assignment uses the annuity table
A 12%, $16,950/$3,000 = 5.65, the factor for 12% for 10 years
B $2,500, $16,775/6.71, the factor for 10 years at 8%
C $24,550, $5,000 x 4.91, the factor for 13 years at 18%
D 15 years, $10,000/$2,500 = 4.0, and the closest factor for 24%
is 4.001, for 15 years
B-2 Computation of Bond Prices (15 minutes)
A $4,520 $10,000 x 452, factor for 12%, 7 years
4,564 $1,000 x 4.564, annuity factor for 12%, 7 years $9,084
B $2,335 $5,000 x 467, factor for 10%, 8 years
4,564 $400 x 5.335, annuity factor for 10%, 8 years $9,084
C $10,100 $20,000 x 505, factor for 5%, 14 periods
5,939 $600 x 9.899, annuity factor for 5%, 14 periods $16,039
B-3 Present Values and Rates of Return (15 minutes)
1 A yields about 16%, $10,000/$2,500 = 4.0, which is close to 4.039 for 16% B yields about 14%, $20,000/$4,700 = 4.255, which is close to the 14% factor Spreadsheet solutions are 16.33% for A and 14.25% for B
2 A = $12,170, $2,500 x 4.868
B = $22,880, $4,700 x 4.868
3 A = $2,476, $10,000/4.039
B = $4,952, $20,000/4.039
4 A = 9 years, $10,000/$2,500 = 4.0, closest to 4.031 in the 20% column
B = between 10 and 11 years, $20,000/$4,700 = 4.2553, between the factors for 10 and 11 years
B-4 Relationships (20 minutes)
Case Item
Trang 21 a $42,570, $9,000 x 4.730, 16 year annuity at 20%
b $51,021, $9,000 x 5.669, 16 year annuity at 16%
2 b $579,875, $125,000 x 4.639, 8 year annuity at 14%
f 25%, $416,250/$125,000 = 3.330, closest to 3.329 for 25% Spreadsheet solution is 24.99%
3 c $12,000, $32,280/2.69, 4 year annuity at 18%
e 20%, $31,080/$12,000 = 2.59, closest to 2.589 for 20% Spreadsheet solution is 19.97%
4 d 12 years, $358,000/$50,000 = 7.16, factor for 9%, 12 years
a $283,000, $50,000 x 5.66, 12 year annuity at 14%