- CFA Exams
- CFA Level I Exam
- Topic 1. Quantitative Methods
- Learning Module 2. Time Value of Money in Finance
- Subject 2. Fixed Income Instruments and the Time Value of Money
CFA Practice Question
Suppose you are considering purchasing a financial asset that promises to pay 10 annual payments of $1,000, with the rate of return quoted as 9% per annum. How much should you pay for the annuity if the first payment is made in one year's time?
A. $5,759.02
B. $6,417.66
C. neither of these amounts
Explanation: Using hp-12C:
f CLEAR FIN: 0.00000000
f CLEAR REG: 0.00000000
10 n: 10.00000000
9 i: 9.00000000
1000 CHS PMT: -1,000.000000
g END: -1,000.000000
PV: 6,417.657701
2nd QUIT: 0.00
2nd CLR TVM: 0.00
1000 ± PMT: PMT = 1,000.00
10 N: N = 10.00
9 I/Y: I/Y = 9.00
CPT PV: 6,417.66
f CLEAR FIN: 0.00000000
f CLEAR REG: 0.00000000
10 n: 10.00000000
9 i: 9.00000000
1000 CHS PMT: -1,000.000000
g END: -1,000.000000
PV: 6,417.657701
Using TI BA II Plus:
2nd QUIT: 0.00
2nd CLR TVM: 0.00
1000 ± PMT: PMT = 1,000.00
10 N: N = 10.00
9 I/Y: I/Y = 9.00
CPT PV: 6,417.66
Thus, the series of cash flows of $1000 per year is currently worth $6417.66.
User Contributed Comments 2
User | Comment |
---|---|
danlan | N=10, I=9, PMT=-1000, FV=0 ==> PV=6417.66 |
Kuki | always use the Present value of any series of cashflows to find out its actual worth. |