Gem E Fallon LLP GEF is currently evaluating an investment i

Gem E. Fallon LLP (GEF) is currently evaluating an investment in a new comedy club. The club is expected to last for 4 years and generate a CF1 = $11,000, CF2 = $9,680, CF3 = $10,648, and CF4 = $58,564. The initial outlay is $20,000. Using a required return of 10%, calculate the discounted payback period for GEF\'s comedy club. (All answers below are expressed in years.)

(a) 2.19

(b) 2.25

(c) 2.00

(d) 1.93

(e) 3.00

(a) 2.19

(b) 2.25

(c) 2.00

(d) 1.93

(e) 3.00

Solution

45999.78     [5999.98+39999.98]

**Discount factoris calculating using the formula 1/(1+i)^n or can be find from the present value table at 10% for 1,2,3,4

Discounted payback period = Year up to which cummulative discounted cash flow is negative +[ discounted cummulative cash flow of that period /discounted cash flow of next year]

         = 2+ [1999.97/7999.95]

        = 2 + .25

          = 2.25 years

correct option is \" b\"

Year cash flow [A] Discount factor [B] Discounted cash flow [A*B] Cummulative discounted cash flow
0 -20000 1 -20000 -20000
1 11000 .90909 9999.99 -10000.01      [-20000+9999.99]
2 9680 .82645 8000.04 -1999.97    [-10000.01+8000.04]
3 10648 .75131 7999.95 5999.98    [-1999.97+7999.95]
4 58564 .68301 39999.80

45999.78     [5999.98+39999.98]

Gem E. Fallon LLP (GEF) is currently evaluating an investment in a new comedy club. The club is expected to last for 4 years and generate a CF1 = $11,000, CF2 =

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