store has 5 years remaining on its lease in a mall. Rent is $2,100 per month, 60 payments remain, and the next payment is due in 1 month. The mall's owner plans to sell the property in a year and wants rent at that time to be high so that the property will appear more valuable. Therefore, the store has been offered a "great deal" (owner's words) on a new 5-year lease. The new lease calls for no rent for 9 months, then payments of $2,600 per month for the next 51 months. The lease cannot be broken, and the store's WACC is 12% (or 1% per month).
a | Present Value of cash flows for old lease | |||||||
Rate | Disacount rate per month=WACC | 1% | ||||||
Nper | Number of months of payment | 60 | ||||||
Pmt | Monthly Payment | $2,100 | ||||||
PV | Present Value of cash flows for old lease | $94,405.58 | ||||||
a | Present Value of cash flows for NEW lease | |||||||
Rate | Disacount rate per month=WACC | 1% | ||||||
Nper | Number of months of payment | 51 | (60-9) | |||||
Pmt | Monthly Payment | $2,600 | ||||||
PV | Value of cash flow at end of 9th month | $103,475.15 | ||||||
Present Value of Cash Flow today=103475.15/((1+0.01)^9) | ||||||||
Present Value of cash flow of New Lease | $94,611.45 | 103475.15/(1.01^9) | ||||||
The New Lease should not be accepted | ||||||||
Becasuse, Present Value of cash outflow for the new lease is higher | ||||||||
c | Future Value of old Lease at end of nine months | $103,249.99 | (94405.58^(1.01^9) | |||||
To be indifferent, Present value of new lease at end of year 9 = | $103,249.99 | |||||||
Rate | Disacount rate per month=WACC | 1% | ||||||
Nper | Number of months of payment | 51 | ||||||
PV | Present Value of new lease at end of month9 | $103,249.99 | ||||||
PMT | Monthly payment which is indifferent | $2,594.34 | ||||||
e | A | B | C=A-B | |||||
Rent under | Rent under | Difference | ||||||
Month | New lease | Old lease | in Cash Flow | |||||
1 | $0 | $2,100 | ($2,100) | |||||
2 | $0 | $2,100 | ($2,100) | |||||
3 | $0 | $2,100 | ($2,100) | |||||
4 | $0 | $2,100 | ($2,100) | |||||
5 | $0 | $2,100 | ($2,100) | |||||
6 | $0 | $2,100 | ($2,100) | |||||
7 | $0 | $2,100 | ($2,100) | |||||
8 | $0 | $2,100 | ($2,100) | |||||
9 | $0 | $2,100 | ($2,100) | |||||
10 | $2,600 | $2,100 | $500 | |||||
11 | $2,600 | $2,100 | $500 | |||||
12 | $2,600 | $2,100 | $500 | |||||
13 | $2,600 | $2,100 | $500 | |||||
14 | $2,600 | $2,100 | $500 | |||||
15 | $2,600 | $2,100 | $500 | |||||
16 | $2,600 | $2,100 | $500 | |||||
17 | $2,600 | $2,100 | $500 | |||||
18 | $2,600 | $2,100 | $500 | |||||
19 | $2,600 | $2,100 | $500 | |||||
20 | $2,600 | $2,100 | $500 | |||||
21 | $2,600 | $2,100 | $500 | |||||
22 | $2,600 | $2,100 | $500 | |||||
23 | $2,600 | $2,100 | $500 | |||||
24 | $2,600 | $2,100 | $500 | |||||
25 | $2,600 | $2,100 | $500 | |||||
26 | $2,600 | $2,100 | $500 | |||||
27 | $2,600 | $2,100 | $500 | |||||
28 | $2,600 | $2,100 | $500 | |||||
29 | $2,600 | $2,100 | $500 | |||||
30 | $2,600 | $2,100 | $500 | |||||
31 | $2,600 | $2,100 | $500 | |||||
32 | $2,600 | $2,100 | $500 |
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