Chapter Outline Notes
3. Present value of an annuity of $1 table is used to compute
present value of a series of equal payments (annuity).
C. Applying a Present Value Table (Complete tables in Appendix B)
1. Determine the column with the interest rate.
2. Determine the row with the periods hence.
3. The column and row will intersect at the factor number.
4. To convert the single payment to its present value, multiply this
amount by the factor.
D. Present Value of an Annuity (Complete tables in Appendix B)
1. Determine the column with the interest rate.
2. Determine the row with the number of periods.
3. The column and row will intersect at the factor number.
4. To convert the annuity to its present value, multiply the annuity
amount by the factor.
E. Compounding Periods Shorter than a Year
1. Interest rates are generally stated as annual rates.
2. They can be allocated to shorter periods of time.
VII. Effective Interest Amortization (Appendix 10B)
A Effective Interest Amortization of a Discount Bond
1. The straight-line method yields changes in the bonds’ carrying
value while the amount for bond interest expense remains
constant. (Total interest expense/ # interest periods)
2. The effective interest method allocates total bond interest
expense over the bonds’ life in a way that yields a constant rate
of interest.
3. The key difference between the two methods lies in computing
bond interest expense. Instead of assigning an equal amount of
bond interest expense in each period, the effective interest
method assigns a bond interest expense amount that increases
over the life of a discount bond.
4. Both methods allocate the same amount of bond interest expense
to the bonds’ life, but in different patterns.
5. Except for differences in amounts, journal entries recording the
expense and updating the Discount on Bonds Payable account
balance are the same under both methods.
B Effective Interest Amortization of a Premium Bond
1. As noted above, the effective interest method allocates total
bond interest expense over the bonds’ life in a way that yields a
constant rate of interest.
2. Except for differences in amounts between the two methods (that
is, the straight-line and effective interest methods), journal
entries recording the expense and updating the Premium on
Bonds Payable account are the same under both methods.
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