16)
i = rdebt = 10% OCF0 = −$100,000
Ku = rassets = 15% OCF1-4 = $39,800 = 25,000 × ($5 − $3) × (1 − 0.34) + $20,000 × 0.34
Kl = requity = 24.9% OCF5 = $43,100 = $39,800 + $5,000 × (1 − 0.34)
K = rWACC = 11.20% Tax rate = 34% Debt-to-equity ratio = 3 Risk-free rate = 2%
The 5-year project requires equipment that costs $100,000. If undertaken, the shareholders will
contribute $25,000 cash and borrow $75,000 with an interest-only loan with a maturity of 5 years
and annual interest payments. The equipment will be depreciated straight-line to zero over the
5-year life of the project. There will be a pre-tax salvage value of $5,000. There are no other
start-up costs at year 0. During years 1 through 5, the firm will sell 25,000 units of product at $5;
variable costs are $3; there are no fixed costs.
When using the APV methodology, what is the NPV of the depreciation tax shield?
A) $32,051.52
B) $25,777.35
C) $22,794.65
D) $97,152.98
17)
i = rdebt = 10% OCF0 = −$100,000
Ku = rassets = 15% OCF1-4 = $39,800 = 25,000 × ($5 − $3) × (1 − 0.34) + $20,000 × 0.34
Kl = requity = 24.9% OCF5 = $43,100 = $39,800 + $5,000 × (1 − 0.34)
K = rWACC = 11.20% Tax rate = 34% Debt-to-equity ratio = 3 Risk-free rate = 2%
The 5-year project requires equipment that costs $100,000. If undertaken, the shareholders will
contribute $25,000 cash and borrow $75,000 with an interest-only loan with a maturity of 5 years
and annual interest payments. The equipment will be depreciated straight-line to zero over the
5-year life of the project. There will be a pre-tax salvage value of $5,000. There are no other
start-up costs at year 0. During years 1 through 5, the firm will sell 25,000 units of product at $5;
variable costs are $3; there are no fixed costs.
When using the APV methodology, what is the NPV of the interest tax shield?
A) $9,666.51
B) $12,019.32
C) $9,377.31
D) $7,000.73