1. A student will receive a $25,000 grant at the beginning of every year for the next five years. Assuming an annual interest rate of 4% is appropriate, the present value of an ordinary annuity is 4.4518 * $25,000 = $111,295, and the present value of an annuity due is 4.62990 * $25,000 = $115,748. What is the fair value of the grant payments according to the Financial Accounting Standards Board (FASB)?
Answer: B
The fair value of the grant payments according to the FASB is $115,748.
The fair value of the grant payments, calculated as the present value of an annuity due, is $115,748, which accounts for the fact that the payments are received at the beginning of each period.
A) $130,000
This option is incorrect as it does not reflect the calculated present value of the grant payments. The figures provided indicate a present value significantly lower than $130,000, which is not supported by the annuity calculations given.
B) $115,748
This option is correct as it represents the present value of the annuity due, calculated using the appropriate factor for receiving payments at the beginning of each year. This amount accurately reflects the fair value of the grant payments according to FASB standards.
C) $125,000
This choice is incorrect since it is not derived from the calculations provided. The value of $125,000 does not correspond to either the present value of an ordinary annuity or an annuity due, making it an inaccurate representation of the grant's fair value.
D) $111,295
While this option represents the present value of an ordinary annuity, it is not the correct answer in the context of the grant payments being received at the beginning of each year. Therefore, it fails to meet the criteria set by the FASB for fair value assessment.
Conclusion
The correct answer, $115,748, accurately reflects the present value of the grant payments as an annuity due. All other options fail to align with the calculations and principles set forth by the FASB, either by overestimating or underestimating the fair value based on the timing of the payments.