"Joe just inherited the family business, and having no desire to run the family business, he has decided to sell it to an entrepreneur. In exchange for the family business, Joe has been offered an immediate payment of $100000. Joe will also receive payments of $10000 in one year, $10000 in two years, and $10000 in three years. The current market rate of interest for Joe is 10%. In terms of present value (PV), how much will Joe receive for selling the family business?Note: Express your answers in strictly numerical terms. For example, if the answer is $500, write enter 500 as an answer."
Joe sell his family business
Immediately he received = $ 100000
At end of 1 year received = $ 10000
At the end of 2nd year recieved = $ 10000
At the end of 3rd year recieved = $ 10000
Interest rate =10%
year | Amount recieved | Present value factor |
Present value (amount *pv factor) |
0 | 100000 | 1 | 100000 |
1 | 10000 | 0.9090909091 | 9090.909091 |
2 | 10000 | 0.826446281 | 8264.46281 |
3 | 10000 | 0.7513148009 | 7513.148009 |
Total | 124868.5199 |
* present value factor calculated as =1/(1+r)^n
So present value of business is $ 124868.51199
Answer = 124868.5199
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