Question 20

The discounted value of the account at the beginning of Year 1 is $46,507.

The discounted value of the account at the beginning of Year 1 is calculated to be $46,507, reflecting the present value of future cash flows discounted at a specified rate.

A) $75,000

This option represents a nominal value without accounting for any discounting. It does not reflect the present value calculation necessary for determining the discounted value at the beginning of Year 1.

B) $46,507

This option is correct as it represents the present value of the account when future cash flows are discounted back to the start of Year 1. This value incorporates the appropriate discount rate and accurately reflects the discounted amount.

C) $37,500

This option is incorrect as it underestimates the discounted value. While it may represent a calculation using an inappropriate discount rate or a misunderstanding of the time value of money, it does not align with the correct present value calculation.

D) $67,500

This option is also incorrect. It overestimates the discounted value, failing to properly account for the effect of discounting future cash flows back to Year 1. This suggests a misunderstanding of how present value calculations work.

Conclusion

The correct answer, $46,507, effectively represents the present value of the account at the beginning of Year 1, taking into account the necessary discounting. All other options fail to accurately reflect this financial principle, either overestimating or underestimating the value without applying the correct discount rate.