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Homework answers / question archive / TABLE 6 Present Value of an Annuity Due of $1 1 +i PVAD x (1 i) n/i 1

TABLE 6 Present Value of an Annuity Due of $1 1 +i PVAD x (1 i) n/i 1

Accounting

TABLE 6 Present Value of an Annuity Due of $1 1 +i PVAD x (1 i) n/i 1.0% 1.5% 2.0% 2.5% 3.0% 3.5% 4.0% 4.5% 5.0% 5.5% 6.0% 7.0% 8.0% 9.0% 10.0% 11.0% 12.0% 20.0% 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 2 1.99010 1.98522 1.98039 1.97561 1.97087 1.96618 1.96154 1.95694 1.95238 1.94787 1.94340 1.93458 1.92593 1.91743 1.90909 1.90090 1.89286 1.83333 3 2.97040 2.95588 2.94156 2.92742 2.91347 2.89969 2.88609 2.87267 2.85941 2.84632 2.83339 2.80802 2.78326 2.75911 2.73554 2.71252 2.69005 2.52778 4 3.94099 3.91220 388388 3.856023.82861 3.80164 3.77509 3.74896 3.72325 3.69793 3.67301 3.62432 3.57710 3.53129 3.48685 3.44371 3.40183 3.10648 5 4.90197 4.85438 4.80773 4.76197 4.71710 4.67308 4.62990 4.58753 4.54595 4.50515 4.46511 4.38721 4.31213 4.23972 4.16987 4.10245 4.03735 3.58873 6 5.85343 5.78264 5.71346 5.64583 5.57971 5.51505 5.45182 5.38998 5.32948 5.27028 5.21236 5.10020 4.99271 4.88965 4.79079 4.69590 4.60478 3.99061 7 6.79548 6.69719 6.60143 6.50813 6.41719 6.32855 6.24214 6.15787 6.075695.99553 5.91732 5.76654 5.62288 5.48592 5.35526 5.23054 5.11141 4.32551 8 7.72819 7.59821 7.47199 7.34939 7.23028 7.11454 7.00205 6.89270 6.78637 6.68297 6.58238 6.38929 6.20637 6.03295 5.86842 5.71220 5.56376 4.60459 9 8.65168 8.48593 8.32548 8.17014 8.01969 7.87396 7.73274 7.59589 7.46321 7.33457 7.20979 6.97130 6.74664 6.53482 6.33493 6.14612 5.96764 4.83716 10 9.56602 9.36052 9.16224 8.97087 8.78611 8.60769 8.43533 8.26879 8.10782 7.95220 7.80169 7.51523 7.24689 6.99525 6.75902 6.53705 6.32825 5.03097 11 10.47130 10.22218 9.98259 9.75206 9.53020 9.31661 9.11090 8.91272 8.72173 8.53763 8.36009 8.02358 7.71008 7.41766 7.14457 6.88923 6.65022 5.19247 12 11.36763 11.07112 10.78685 10.51421 10.25262 10.00155 9.76048 9.52892 9.30641 9.09254 8.88687 8.49867 8.13896 7.80519 7.49506 7.20652 6.93770 5.32706 13 12.25508 11.90751 11.57534 11.25776 10.95400 10.66333 10.38507 10.11858 9.86325 9.61852 9.38384 8.94269 8.53608 8.16073 7.81369 7.49236 7.19437 5.43922 14 13.13374 12.73153 12.34837 11.98318 11.63496 11.30274 10.98565 10.68285 10.39357 10.11708 9.85268 9.35765 8.90378 8.48690 8.10336 7.74987 7.42355 5.53268 15 14.00370 13.54338 13.10625 12.69091 12.29607 11.92052 11.56312 11.22283 10.89864 10.58965 10.29498 9.74547 9.24424 8.78615 8.36669 7.98187 7.62817 5.61057 16 14.86505 14.34323 13.84926 13.38138 12.93794 12.51741 12.11839 11.73955 11.37966 11.03758 10.71225 10.10791 9.55948 9.06069 8.60608 8.19087 7.81086 5.67547 7 15.71787 15.13126 14.57771 14.05500 13.56110 13.09412 12.65230 12.23402 11.83777 11.46216 11.10590 10.44665 9.85137 9.31256 8.82371 8.37916 7.97399 5.72956 18 16.56225 15.90765 15.29187 14.71220 14.16612 13.65132 13.16567 12.70719 12.27407 11.86461 11.47726 10.76322 10.12164 9.54363 9.02155 8.54879 8.11963 5.77463 19 17.39827 16.67256 15.99203 15.35336 14.75351 14.18968 13.65930 13.15999 12.68959 12.24607 11.82760 11.05909 10.37189 9.75563 9.20141 8.70162 8.24967 5.81219 20 18.22601 17.42617 16.67846 15.97889 15.32380 14.70984 14.13394 13.59329 13.08532 12.60765 12.15812 11.33560 10.60360 9.95011 9.36492 8.83929 8.36578 5.84350 21 19.04555 18.16864 17.35143 16.58916 15.87747 15.21240 14.59033 14.00794 13.46221 12.95038 12.46992 11.59401 10.81815 10.12855 9.51356 8.96333 8.46944 5.86958 25 22.24339 21.03041 19.91393 18.88499 17.93554 17.05837 16.24696 15.49548 14.79864 14.15170 13.55036 12.46933 11.52876 10.70661 9.98474 9.34814 8.78432 5.93710 30 26.06579 24.37608 22.84438 21.45355 20.18845 19.03577 17.98371 17.02189 16.14107 15.33310 14.59072 13.27767 12.15841 11.19828 10.36961 9.65011 9.02181 5.97472 40 33.16303 30.36458 27.90259 25.73034 23.80822 22.10250 20.58448 19.22966 18.01704 16.92866 15.94907 14.26493 12.87858 11.72552 10.75696 9.93567 9.23303 5.99592
TABLE 4 Present Value of an Ordinary Annuity of $1 PVA n/i 1.096 1.5% 2.0% 2.596 3.0% 3.5% 4.0% 4.5% 5.0% 5.5% 6.0% 7.0% 8.0% 9.0% 10.0% 11.0% 12.0% 20.0% 0.93458 0.92593 0.91743 0.90909 0.90090 0.89286 0.83333 2 1.97040 1.95588 1.94156 1.92742 1.91347 1.89969 1.88609 1.87267 1.85941 1.84632 1.83339 1.80802 1.78326 1.75911 1.73554 1.71252 1.69005 1.52778 3 2.94099 2.91220 2.88388 2.85602 2.82861 2.80164 2.77509 2.74896 2.72325 2.69793 2.67301 2.62432 2.57710 2.53129 2.48685 2.44371 2.40183 2.10648 4 3.90197 3.85438 3.80773 3.76197 3.71710 3.67308 3.62990 3.58753 3.54595 3.50515 3.46511 3.38721 3.31213 3.23972 3.16987 3.10245 3.03735 2.58873 5 4.85343 4.78264 4.71346 4.64583 4.57971 4.51505 4.45182 4.38998 4.32948 427028 4.21236 4.10020 3.99271 3.88965 3.79079 3.69590 3.60478 2.99061 1 0.99010 0.98522 0.98039 0.97561 0.97087 0.96618 0.96154 0.95694 0.95238 0.94787 0.94340 5.79548 5.69719 5.60143 5.50813 5.41719 5.32855 5.24214 5.157875.07569 4.99553 491732 4.76654 4.62288 4.48592 4.35526 4.23054 4.11141 3.32551 7 6.72819 6.59821 6.47199 6.34939 6.23028 6.11454 6.00205 5.89270 5.786375.68297 5.58238 5.38929 5.20637 5.03295 4.86842 4.71220 4.56376 3.60459 8 7.65168 7.48593 7.32548 7.17014 7.01969 6.87396 6.73274 6.59589 6.46321 6.33457 6.20979 5.97130 5.74664 5.53482 5.33493 5.14612 4.96764 3.83716 8.56602 8.36052 8.16224 7.97087 7.786117.607697.43533 7.26879 7.10782 6.95220 6.80169 6.51523 6.24689 5.99525 5.75902 5.53705 5.32825 4.03097 0 9.47130 9.22218 8.98259 8.75206 8.53020 8.31661 8.11090 7.91272 7.72173 7.53763 7.36009 7.02358 6.71008 6.41766 6.14457 5.88923 5.65022 4.19247 11 10.36763 10.07112 9.78685 9.51421 9.25262 9.00155 8.76048 8.52892 8.30641 8.09254 7.88687 7.49867 7.13896 6.80519 6.49506 6.20652 5.93770 4.32706 12 11.25508 10.90751 10.57534 10.25776 9.95400 9.66333 9.38507 9.11858 8.86325 8.61852 8.38384 7.94269 7.53608 7.16073 6.81369 6.49236 6.19437 4.43922 13 12.13374 11.73153 11.34837 10.98319 10.63496 10.30274 998565 9.68285 9.39357 9.11708 8.85268 8.35765 7.90378 7.48690 7.10336 6.74987 6.42355 4.53268 14 13.00370 12.54338 12.10625 11.69091 11.29607 10.92052 10.56312 10.22283 9.89864 9.58965 9.29498 8.74547 8.24424 7.78615 7.36669 6.98187 6.62817 4.61057 0791 8.55948 8.06069 7.60608 7.19087 6.81086 4.67547 15 13.86505 13.34323 12.84926 12.38138 11.93794 11.51741 11.11839 10.73955 10.37966 10.03758 9.71225 9.1 4.71787 14.13126 13.57771 13.05500 12.56110 12.09412 11.65230 11.23402 10.83777 10.46216 10.10590 9.44665 8.85137 8.31256 7.82371 7.37916 6.97399 4.72956 17 15.56225 14.90765 14.29187 13.71220 13.16612 12.65132 12.16567 11.70719 11.27407 10.86461 10.47726 9.76322 9.12164 8.54363 8.02155 7.54879 7.11963 4.77463 18 16.39827 15.67256 14.99203 14.35336 13.75351 13.18968 12.65930 12.15999 11.68959 11.24607 10.82760 10.05909 9.37189 8.75563 8.20141 7.70162 7.24967 4.81219 19 17.22601 16.42617 15.67846 14.97889 14.32380 13.70984 13.13394 12.59329 12.08532 11.60765 11.15812 10.33560 9.60360 8.95011 8.36492 7.83929 7.36578 4.84350 20 18.04555 17.16864 16.35143 15.58916 14.87747 14.21240 13.59033 13.00794 12.46221 11.95038 11.46992 10.59401 9.81815 9.12855 8.51356 7.96333 7.46944 4.86958 16 1 21 18.85698 17.90014 17.01121 16.18455 15.41502 14.69797 14.02916 13.40472 12.82115 12.27524 11.76408 10.83553 10.01680 9.29224 8.64869 8.07507 7.56200 4.89132 25 22.02316 20.71961 19.52346 18.42438 17.41315 16.48151 15.62208 14.82821 14.09394 13.41393 12.78336 11.65358 10.67478 982258 9.07704 8.42174 7.84314 4.94759 25.80771 24.01584 22.39646 20.93029 19.60044 18.39205 17.29203 16.28889 15.37245 14.53375 13.76483 12.40904 11.25778 10.27365 9.42691 8.69379 40 32.83469 29.91585 27.35548 25.10278 23.11477 21.35507 19.79277 18.40158 17.15909 16.04612 15.04630 13.33171 11.92461 10.75736 9.77905 8.95105 8.24378 4.99660
On January 1, 2018, Rick's Pawn Shop leased a truck from Chumley Motors for a six-year period with an option to extend the lease for three years. Rick's had no significant economic incentive as of the beginning of the lease to exercise the 3-year extension option. Annual lease payments are $29,000 due on December 31 of each year, calculated by the lessor using a 7% discount rate. Assume that at the beginning of the third year, January 1, 2020, Rick's had made significant improvements to the truck whose cost could be recovered only if it exercises the extension option, creating an expectation that extension of the lease was "reasonably certain." The relevant interest rate at that time was 8%. (FVofSL PVOfSL EVAofSL PVAofS1. EVADofSI and PVADofS1) (use appropriate factor(s) from the tables provided.) Required 1. Prepare the journal entry, if any, at the beginning of the third year for the lessee to account for the reassessment. Prepre theoumal enty if any ot the beginning of the third yearfor the lessor to account for the ressesment Complete this question by entering your answers in the tabs below
Required 1 Required 2 Prepare the journal entry, if any, at the beginning of the third year for the lessee to account for the reassessment. (If no entry is required for a transaction/event, select "No journal entry required" in the first account field. Round your intermediate and final answers to nearest whole dollar.) View transaction list Journal entry worksheet Record the improvements to the truck by Rick's. Note: Enter debits before credits. Debit Credit 150,985 Date General Journal January 01, 2020 Right-of-use asset Lease payable 138,300
Required 1Required 2 Prepare the journal entry, if any, at the beginning of the third year for the lessor to account for the reassessment. (If no entry is required for a transaction/event, select "No journal entry required" in the first account field. Round your intermediate and final answers to nearest whole dollar.) View transaction list Journal entry worksheet Record the entry, if any, by the lessor to account for the reassessment. Note: Enter debits before credits. Date General Journal Debit Credit January 01, 2020

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1)

No. Date General Journal Debit Credit
1 Jan 1 , 2020 Right of use asset 52,756  
    Lease Payable   52,756

January 1, 2018

Lease payable ($29,000 x4.76654)*=138,230

*present value of an ordinary annuity of $1: n=6, i=7%

December 31, 2018

Interest expense (7% x $138230) = 9,676

Amortization expense ($29000 - 9676) = 19,324

In the case of an operating lease, interest is recorded in the normal way (at the effective interest rate) by the lessee and then plugs the right-of-use asset amortization at the amount is needed for interest plus amortization to equal the straight-line lease payment. That amount is recorded as a single lease expense in the income statement by the lessee.

December 31, 2019

Interest expense (7% x ($138,230- 19,324]) = 8,323.

Amortization expense ($29000 - 8,323) = 20,677

January 1, 2020 Reassessment:

*PV of remaining 7 payments, discounted at 8% ($29000 x 5.20637)............ $150,985

Liability balance after 2 years ($138,230 - 19,324-20,677).................................... 98,229

Increase in balance ............................................................................................$52,756

Also, lessees need to reassess the classification of a lease when there is any alteration in the lease term (or any change in the assessment of a lessee option to purchase the underlying asset). It would be considered a finance lease rather than an operating lease as previously classified because with the assumed renewal,the lease term is for the entire useful life of the asset. Therefore we had an operating lease for 2 years, and now have a 7 year finance lease. Hence amortization of the right-of-use asset will be a straight-line allocation of the balance in that account at this point (($138,230 - 19,324- 20,677] + $52,756) = $150,985 over the next 7 years.

December 31, 2020

Interest expense (7% x $150,985) = 10,569

Amortization expense ($150,985/7 years) = 21569

2.

No. Date General Journal Debit Credit
2   No entry    

A lessor is not required to reassess the lease term.