Consider a series of end-of-period CFs spanning 2042-2056, which increase at a 1.3% rate each period. The amount of the first CF in the series is $124. The interest rate is 3.8%. What is the equivalent uniform amount for a series of end-of-year CFs spanning the same time period? (answer: $134.73)
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THE CASHFLOWS ARE:
CELL NUMBER | YEAR | CASHFLOWS |
Q1 | 2042 | 124 |
Q2 | 2043 | 125.612 |
Q3 | 2044 | 127.244956 |
Q4 | 2045 | 128.8991404 |
Q5 | 2046 | 130.5748293 |
Q6 | 2047 | 132.272302 |
Q7 | 2048 | 133.991842 |
Q8 | 2049 | 135.7337359 |
Q9 | 2050 | 137.4982745 |
Q10 | 2051 | 139.285752 |
Q11 | 2052 | 141.0964668 |
Q12 | 2053 | 142.9307209 |
Q13 | 2054 | 144.7888203 |
Q14 | 2055 | 146.6710749 |
Q15 | 2056 | 148.5777989 |
THE NPV OF THE CASHFLOWS ARE= =NPV(0.038,O1:O15)=1519.17
EQUIVALENT PAYMENT=PMT(0.038,15,P1,0,0)=134.73
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