Each of the following situations is independent. (Future Value of $1, Present Value of $1, Future Value Annuity of $1, Present Value Annuity of $1) (Use appropriate factor(s) from the tables provided.)
Case | Present Value | Annuity | Future Value | Annual Interest Rate | Number of Years |
A | $190,000 | − | (i) | 5% | 7 |
B | (ii) | − | $190,000 | 6% | 6 |
C | (iii) | $3,800 | − | 4% | 10 |
D | − | $4,800 | (iv) | 5% | 20 |
Required:
Compute the missing amounts for (i) through (iv). (Round
your answers to nearest hundred dollars.)
|
Ans:
(I) Present Value* FV of $1(i%,n)= Future Value
190,000* FV of $1(5%,7)= Future Value
190,000*1.41= Future Value
Future Value= 267,900
(II) Present Value= Future Value*PV of $1(i%,n)
=> 190,000*PV (6%,6)
=> 190,000*0.71
Present Value = 134,900
(iii) Present Value= Annuity*PVA of $1(i%,n)
Present Value= 3,800*PVA(4%,10)
Present Value= 3,800*8.1109
Present Value= 30,821.42
(iv) Future Value= Annuity*FVA of $1(i%,n)
Future Value= 4,800*FVA(5%,20)
Future Value= 4,800*33.066
Future Value= 158,716.80
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