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babymother [125]
2 years ago
8

Pam is in need of cash right now and wants to sell the rights to a $1,000 cash flow that she will receive 5 years from today. If

the discount rate for such a cash flow is 9.5%, then what is the fair price that someone should be willing to pay Pam today for rights to that future cash flow?
Business
1 answer:
Virty [35]2 years ago
8 0

Answer:

Fair price =$635.23

Explanation:

<em>Th fair price that he should be willing to pay is the present value of the $1000 expected in 5 years time.</em>

<em>Present value (PV) is the worth today if a future amount is discounted at a particular rate of interest.</em>

PV = FV × (1+r)^(-n)

PV - present value = ?

FV -Future value - 1000,

r- discount rate - 9.5%,

n - future date - 5

PV = 1,000 × (1.0950^(-5)

PV = 1,000 × 0.6352

PV =635.2276653

Fair price =$635.23

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<u>Solution and Explanation:</u>

Calculation of Minimum lease annual payments from (MLP)    

Year  MLP from lessor       Present value                   Present valur of

                  point of view    factor 8%                    cash flows

1                  $4,703                  1 /(1.08)=0925   $4,350.28

2                    $4,703                  1 /(1.08)^{\wedge} 2=0.857 $4,030.47

3                   $4,703               1 /(1.08)^{\wedge} 3=0.793  $3,729.48

4                 $4,703               1 /(1.08)^{\wedge} 4=0.735  $3,456.71

5                   $4,703              1 /(1.08)^{\wedge} 5=0.680  $3,198.04

   

Total of Minimum

lease Payments  $23,515                                       $ 18,764.97

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Unguaranteed

residual value(ugrv)  4000  1 /(1.08)^{\wedge 5}=0.680  $2,720.00

Asset to be recorded

in the books of lessor

(sum of mlp +ugrv)  $27,515                             $ 21,484.97

Here        

Gross Investment=$27515        

Lease receivable recorded in in the books of lessor(Phelps)(Mimum lease payments + Unguaranteed residual )value = $21484  $21,484      

Walsh (lessee) shoiuld be recorded the amount of present value of minimum lease payments + Guaranteed Residual value=$18764.97 as asset and liabilty            

b) In the books of phelps (lessor)        

2017.01.01  Lease Recievble from walsh ….Dr  $21,484      

                                 to Asset                              $21,484      

(Being Lease receivable recorded )        

In the books of Walsh (lessee)        

2017.01.01  Asset ac ……………Dr  $18,764        

         to Lease Liabilty(Lessor)               $18,764      

(Being the asset and liabilty recorded )                

2017.12.31  Depreciation ……Dr  3752        

                            to Asset                      3752        

(Beint Depreciation recorded charged during the year recorded 18764/5 provided for 5 years)

Here annual payment started from the at the beginning of year i.e annual lease payments start from 01.01.2018.

c)  If expected residual value of $4000 is guaranteed by walsh no changes will be made in classification of lease and there is no chages in asset recorded in Lessor books. But changes will be made in the books of lessee as present value of guaranteed residual value should be added to asset I.e $18764+Present vlue of $4000     $18764+2720=21484

d)   If expected residual value of $3000 is guaranteed by walsh no changes will be made in classification of lease and there is no chages in asset recorded in Lessor books But changes will be made in the books of lessee as present value of guaranteed residual value should be added to asset    I.e $18764+Present vlue of $3000       $18764+$2040=$20804

 

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3 0
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