Solution manual cost accounting by LauderbachTIME VALUE OF MONEY

APPENDIX B TIME VALUE OF MONEY B-1 Missing Factors (10 minutes) This assignment uses the annuity table A 12%, B $2,500, C $16,950/$3,000 = 5.65, the factor for 12% for 10 years $16,775/6.71, the factor for 10 years at 8% $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 4,564 $9,084 $10,000 x 452, factor for 12%, years $1,000 x 4.564, annuity factor for 12%, years B $2,335 4,564 $9,084 $5,000 x 467, factor for 10%, years $400 x 5.335, annuity factor for 10%, years C $10,100 5,939 $16,039 $20,000 x 505, factor for 5%, 14 periods $600 x 9.899, annuity factor for 5%, 14 periods B-3 Present Values and Rates of Return (15 minutes) 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 A = $12,170, $2,500 x 4.868 B = $22,880, $4,700 x 4.868 A = $2,476, $10,000/4.039 B = $4,952, $20,000/4.039 A = 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 Case Relationships Item (20 minutes) 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% b $579,875, $125,000 x 4.639, year annuity at 14% f 25%, $416,250/$125,000 = 3.330, closest to 3.329 for 25% Spreadsheet solution is 24.99% c $12,000, $32,280/2.69, year annuity at 18% e 20%, $31,080/$12,000 = 2.59, closest to 2.589 for 20% Spreadsheet solution is 19.97% 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% ... to 3.329 for 25% Spreadsheet solution is 24.99% c $12,000, $32,280/2.69, year annuity at 18% e 20%, $31,080/$12,000 = 2.59, closest to 2.589 for 20% Spreadsheet solution is 19.97% d 12 years,