In: Accounting
Present and future value tables of $1 at 11% are presented
below.
| 
 PV of $1  | 
 FV of $1  | 
 PVA of $1  | 
 FVA of $1  | 
|
| 
 1  | 
 0.90090  | 
 1.11000  | 
 0.90090  | 
 1.0000  | 
| 
 2  | 
 0.81162  | 
 1.23210  | 
 1.71252  | 
 2.1100  | 
| 
 3  | 
 0.73119  | 
 1.36763  | 
 2.44371  | 
 3.3421  | 
| 
 4  | 
 0.65873  | 
 1.51807  | 
 3.10245  | 
 4.7097  | 
| 
 5  | 
 0.59345  | 
 1.68506  | 
 3.69590  | 
 6.2278  | 
| 
 6  | 
 0.53464  | 
 1.87041  | 
 4.23054  | 
 7.9129  | 
Spielberg Inc. signed a $250,000 noninterest-bearing note due in
two years from a production company eager to do business.
Comparable borrowings have carried an 11% interest rate. What is
the value of this debt at its inception?
| Year | PV of $ 1 | Amount | Value at Inception | 
| 1 / (1 + 11%)^Year | A | PV X A | |
| 1 | 0.9009 | $ 250,000 | $ 225,225 | 
| 2 | 0.81162 | $ 250,000 | $ 202,905 | 
| 3 | 0.73119 | $ 250,000 | $ 182,798 | 
| 4 | 0.65873 | $ 250,000 | $ 164,683 | 
| 5 | 0.59345 | $ 250,000 | $ 148,363 | 
| 6 | 0.53464 | $ 250,000 | $ 133,660 | 
The value of this debt at inception (250,000 2 years) will be $ 202,905