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Submitted to : Prof. Jasbeer Singh Matharu
Piyush Chandak 2015208
Irinia Ranjan 2015215
Kriti Jain 2015216
Priyanka Mishra 2015229
Anju Prajapati 2015132
Sr. No. Content
1 Documentation
2 Assumptions
3 Model
4 Example of the Model
A model to estimate the value of the option to
abandon a project or investment
Group-10
Matharu
of the option to
estment
1 Project's present value will drop by roughly 1/n each year into the project
2 Riskfree rate is assumed as 7% that is equal to Treasury bond rate
3 Time of abandonment is considered as time of option life
4 Tenue of the project more than 10 years should not be considered
ASSUMPTIONS
VALUING AN OPTION TO ABANDON A PROJECT
Table 1 : Input Data related to Net Present Value of the Project
Initial investment in the project
Expected cash flow each year
Tenure of the project
Discount rate
Table 2: Calculation of Present Value of the Project
Year Cash Flow
0 0
1 0
2 0
3 0
4 0
5 0
6 0
7 0
8 0
9 0
10 0
PV of investment 0
Table 3: Inputs relating the underlying asset
Present value of cash flows from project 0
Variance in Underlying Assets's Value
Annualized standard deviation in ln(present value of CF) 0.00%
Remaining life of the project
Salvage Value on abandonment
Time to expiration
Enter the riskless rate that corresponds to the option lifetime =
Output relating to long term option
Table 4: VALUING A LONG TERM OPTION
Stock Price 0.00 Treasury Bond Rate
Strike Price 0.00 Variance
Expiration (in years) 0 Annualized dividend yield
d1 =
N(d1) =
d2 =
N(d2) =
Value of Option to Abandon =
ECT
in million Rs.
in million Rs.
in years
in million Rs.
in %
in years
in million Rs.
in years
in %
sury Bond Rate 0.00%
0
ualized dividend yield
VALUING AN OPTION TO ABANDON A PROJECT
Table 1 : Input Data related to Net Present Value of the Project
Initial investment in the project 100
Expected cash flow each year 45
Tenure of the project 10
Discount rate 12%
Table 2: Calculation of Present Value of the Project
Year Cash Flow
0 -100
1 45
2 45
3 45
4 45
5 45
6 45
7 45
8 45
9 45
10 45
PV of investment 254
Table 3: Inputs relating the underlying asset
Present value of cash flows from project 254
Variance in Underlying Assets's Value 0.09
Annualized standard deviation in ln(present value of CF) 30.00%
Remaining life of the project 10
Salvage Value on abandonment 150.00
Time to expiration 5
Enter the riskless rate that corresponds to the option lifetime = 7.00%
Output relating to long term option
Table 4: VALUING A LONG TERM OPTION
Stock Price 254.26 Treasury Bond Rate
Strike Price 150.00 Variance
Expiration (in years) 5 Annualized dividend yield
d1 = 0.898485228
N(d1) = 0.815536542
d2 = 0.227664835
N(d2) = 0.590046594
Considering that a company XYZ Ltd. is considering a 10-years project which requires an initial investment of Rs. 100 million i
the project from the project is Rs. 45 million. The company has the option to abandon this project anytime by selling its share
150 million. A simulation of the cash flows on the time share investment yields a variance in the present value of the cash flo
discount rate is 12%.
Value of Option to Abandon = $14.89
ECT
in million Rs.
in million Rs.
in years
in million Rs.
in %
in years
in million Rs.
in years
in %
sury Bond Rate 7.00%
0.09
ualized dividend yield 10.00%
investment of Rs. 100 million in a real estate firm. The expected cash flow from
ject anytime by selling its share back to the developer in the next 5 years for Rs.
e present value of the cash flows from being in the partnership is 0.09. The

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A mdel to estimate the value of the option to abandon a project or investment

  • 1. Submitted to : Prof. Jasbeer Singh Matharu Piyush Chandak 2015208 Irinia Ranjan 2015215 Kriti Jain 2015216 Priyanka Mishra 2015229 Anju Prajapati 2015132 Sr. No. Content 1 Documentation 2 Assumptions 3 Model 4 Example of the Model A model to estimate the value of the option to abandon a project or investment Group-10
  • 3. 1 Project's present value will drop by roughly 1/n each year into the project 2 Riskfree rate is assumed as 7% that is equal to Treasury bond rate 3 Time of abandonment is considered as time of option life 4 Tenue of the project more than 10 years should not be considered ASSUMPTIONS
  • 4. VALUING AN OPTION TO ABANDON A PROJECT Table 1 : Input Data related to Net Present Value of the Project Initial investment in the project Expected cash flow each year Tenure of the project Discount rate Table 2: Calculation of Present Value of the Project Year Cash Flow 0 0 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 0 10 0 PV of investment 0 Table 3: Inputs relating the underlying asset Present value of cash flows from project 0 Variance in Underlying Assets's Value Annualized standard deviation in ln(present value of CF) 0.00% Remaining life of the project Salvage Value on abandonment Time to expiration Enter the riskless rate that corresponds to the option lifetime = Output relating to long term option Table 4: VALUING A LONG TERM OPTION Stock Price 0.00 Treasury Bond Rate Strike Price 0.00 Variance Expiration (in years) 0 Annualized dividend yield d1 = N(d1) = d2 = N(d2) = Value of Option to Abandon =
  • 5. ECT in million Rs. in million Rs. in years in million Rs. in % in years in million Rs. in years in % sury Bond Rate 0.00% 0 ualized dividend yield
  • 6. VALUING AN OPTION TO ABANDON A PROJECT Table 1 : Input Data related to Net Present Value of the Project Initial investment in the project 100 Expected cash flow each year 45 Tenure of the project 10 Discount rate 12% Table 2: Calculation of Present Value of the Project Year Cash Flow 0 -100 1 45 2 45 3 45 4 45 5 45 6 45 7 45 8 45 9 45 10 45 PV of investment 254 Table 3: Inputs relating the underlying asset Present value of cash flows from project 254 Variance in Underlying Assets's Value 0.09 Annualized standard deviation in ln(present value of CF) 30.00% Remaining life of the project 10 Salvage Value on abandonment 150.00 Time to expiration 5 Enter the riskless rate that corresponds to the option lifetime = 7.00% Output relating to long term option Table 4: VALUING A LONG TERM OPTION Stock Price 254.26 Treasury Bond Rate Strike Price 150.00 Variance Expiration (in years) 5 Annualized dividend yield d1 = 0.898485228 N(d1) = 0.815536542 d2 = 0.227664835 N(d2) = 0.590046594 Considering that a company XYZ Ltd. is considering a 10-years project which requires an initial investment of Rs. 100 million i the project from the project is Rs. 45 million. The company has the option to abandon this project anytime by selling its share 150 million. A simulation of the cash flows on the time share investment yields a variance in the present value of the cash flo discount rate is 12%.
  • 7. Value of Option to Abandon = $14.89
  • 8. ECT in million Rs. in million Rs. in years in million Rs. in % in years in million Rs. in years in % sury Bond Rate 7.00% 0.09 ualized dividend yield 10.00% investment of Rs. 100 million in a real estate firm. The expected cash flow from ject anytime by selling its share back to the developer in the next 5 years for Rs. e present value of the cash flows from being in the partnership is 0.09. The