In: Accounting
Oriole Company receives a $78,000, 10-year note bearing interest of 9% (paid annually) from a customer at a time when the discount rate is 11%.
(For calculation purposes, use 5 decimal places as
displayed in the factor table provided.)
What is the present value of the note received by Oriole?
(Round answer to 2 decimal places, e.g.
25.25.)
Present value of note received = ?? |
Present value of note received = $ 68,812.43
Working
Annual Rate | Applicable rate | Face Value | $ 78,000 | ||
Discount Rate | 11.00% | 11.00% | Term (in years) | 10 | |
Coupon Rate | 9.00% | 9.00% | Total no. of interest payments | 10 |
.
Notes receivable Face Value |
Market Interest rate (applicable for period/term) |
||||||
PV of | $ 78,000 | at | 11.00% | Interest rate for | 10 |
term payments |
|
PV of $1 | 0.35218 | ||||||
PV of | $ 78,000 | = | $ 78,000 | x | 0.35218 | = | $ 27,470 |
Interest payable per term | at | 9.00% | on | $ 78,000 | |||
Interest payable per term | $ 7,020 | ||||||
PVAF of 1$ | for | 11.00% |
Interest rate for |
10 |
term payments |
||
PVAF of 1$ | 5.88923 | ||||||
PV of Interest payments | = | $ 7,020 | x | 5.88923 | = | $ 41,342 | |
present Value (A+B) | $ 68,812.43 |