ANALOG DEVICES, INC.  NOTES TO CONSOLIDATED FINANCIAL STATEMENTS — (Continued) 53 Depreciation expense for property, plant and equipment was $134.5 million, $130.1 million and $114.1 million in fiscal 2016, 2015 and 2014, respectively.
The Company reviews property, plant and equipment for impairment whenever events or changes in circumstances indicate that the carrying amount of assets may not be recoverable.
Recoverability of these assets is determined by comparison of their carrying amount to the future undiscounted cash flows the assets are expected to generate over their remaining economic lives.
If such assets are considered to be impaired, the impairment to be recognized in earnings equals the amount by which the carrying value of the assets exceeds their fair value determined by either a quoted market price, if any, or a value determined by utilizing a discounted cash flow technique.
If such assets are not impaired, but their useful lives have decreased, the remaining net book value is depreciated over the revised useful life.
We have not recorded any material impairment charges related to our property, plant and equipment in fiscal 2016, fiscal 2015 or fiscal 2014.  f.  Goodwill and Intangible Assets Goodwill The Company evaluates goodwill for impairment annually, as well as whenever events or changes in circumstances suggest that the carrying value of goodwill may not be recoverable.
The Company tests goodwill for impairment at the reporting unit level (operating segment or one level below an operating segment) on an annual basis on the first day of the fourth quarter (on or about August 1) or more frequently if indicators of impairment exist.
For the Company’s latest annual impairment assessment that occurred as of July 31, 2016, the Company identified its reporting units to be its seven operating segments.
The performance of the test involves a two-step process.
The first step of the quantitative impairment test involves comparing the fair values of the applicable reporting units with their aggregate carrying values, including goodwill.
The Company determines the fair value of its reporting units using a weighting of the income and market approaches.
Under the income approach, the Company uses a discounted cash flow methodology which requires management to make significant estimates and assumptions related to forecasted revenues, gross profit margins, operating income margins, working capital cash flow, perpetual growth rates, and long-term discount rates, among others.
For the market approach, the Company uses the guideline public company method.
Under this method the Company utilizes information from comparable publicly traded companies with similar operating and investment characteristics as the reporting units, to create valuation multiples that are applied to the operating performance of the reporting unit being tested, in order to obtain their respective fair values.
In order to assess the reasonableness of the calculated reporting unit fair values, the Company reconciles the aggregate fair values of its reporting units determined, as described above, to its current market capitalization, allowing for a reasonable control premium.
If the carrying amount of a reporting unit, calculated using the above approaches, exceeds the reporting unit’s fair value, the Company performs the second step of the goodwill impairment test to determine the amount of impairment loss.
The second step of the goodwill impairment test involves comparing the implied fair value of the affected reporting unit’s goodwill with the carrying value of that reporting unit.
There was no impairment of goodwill in any of the fiscal years presented.
The Company’s next annual impairment assessment will be performed as of the first day of the fourth quarter of the fiscal year ending October 28, 2017 (fiscal 2017) unless indicators arise that would require the Company to reevaluate at an earlier date.
The following table presents the changes in goodwill during fiscal 2016 and fiscal 2015:
## Table 0 ##
(1) Amount in fiscal 2015 represents changes to goodwill as a result of finalizing the acquisition accounting related to the Hittite Acquisition.
(2) Represents goodwill related to other acquisitions that were not material to the Company on either an individual or aggregate basis.
Intangible Assets The Company reviews finite-lived intangible assets for impairment whenever events or changes in circumstances indicate that the carrying value of assets may not be recoverable.
Recoverability of these assets is determined by comparison of their carrying value to the estimated future undiscounted cash flows the assets are expected to generate over their remaining
Other Trading Account Assets Other trading account assets primarily include trading positions held by our derivatives trading operations and our global commodities group.
Our derivatives trading operations maintain trading positions in various foreign exchange instruments and commodities, primarily to facilitate transactions for our clients.
We seek to use short security positions and forwards, futures, options and other derivatives to limit exposure to interest rate and other market risks associated with these positions.
We also trade derivative financial instruments that allow our clients to manage exposure to interest rate, currency and other market risks.
Our derivative transactions involve both exchange-listed and over-the-counter contracts.
Our global commodities group provides advice, sales and trading on a global basis covering a wide variety of commodity, financial and foreign exchange futures, swap and forward contracts, including agricultural commodities, base and precious metals, major currencies, interest rate and stock indices.
We act both as a broker, buying and selling exchange-listed contracts for our customers, and as a dealer, by entering into futures and security transactions as a principal.
Commercial mortgage and other loans Our asset management operations include our commercial mortgage operations, which provide mortgage origination, asset management and servicing for our general account, institutional clients, and government sponsored entities such as Fannie Mae, the Federal Housing Administration, and Freddie Mac.
We also originate shorter-term interim loans for spread lending that are collateralized by assets generally under renovation or lease-up.
These interim loans are inherently more risky than those collateralized by properties that have already stabilized.
Due to market conditions and the inherent risk of these loans, the underwriting of new interim loans was suspended during the third quarter of 2008.
Our interim loans are generally paid off through refinancing or the sale of the underlying collateral by the borrower.
As of December 31, 2009, the interim loans had an unpaid principal balance of $1.7 billion and an allowance for losses or credit related market value losses totaling $236 million.
The weighted average loan-to-value ratio was 112%, indicating that, in aggregate, the loan amount was greater than the collateral value, and the weighted average debt service coverage ratio was 1.16 times.
A stabilized value and projected net operating income are used in the calculation of the loan-to-value and debt service coverage ratios.
As of December 31, 2009, we also hold $59 million of commercial real estate held for sale related to foreclosed interim loans.
The mortgage loans of our commercial mortgage operations are included in “Commercial mortgage and other loans,” with related derivatives and other hedging instruments primarily included in “Other trading account assets” and “Other long-term investments.
” Other long-term investments Other long-term investments primarily include proprietary investments made as part of our asset management operations.
We make these proprietary investments in real estate, as well as fixed income, public equity and real estate securities, including controlling interests.
Certain of these investments are made primarily for purposes of co-investment in our managed funds and structured products.
Other proprietary investments are made with the intention to sell or syndicate to investors, including our general account, or for placement in funds and structured products that we offer and manage (seed investments).
As part of our asset management operations we also make loans to our managed funds that are secured by equity commitments from investors or assets of the funds.
Commercial Real Estate As discussed above, we have investment-based exposure to commercial real estate through a variety of investment vehicles.
This exposure primarily results from our investments in commercial mortgage-backed securities and our whole-loan commercial mortgage holdings.
For additional information regarding our exposure to commercial real estate, see the respective investment sections above within “—General Account Investments.
” Our invested asset exposure to commercial real estate as of the dates indicated includes the following, shown at their respective balance sheet carrying value:
## Table 1 ##
(1) Carrying value is generally based on unpaid principal balance.
Amounts are shown gross of allowance for losses of $371 million and $124 million as of December 31, 2009 and $116 million and $58 million as of December 31, 2008, attributable to the Financial Services Businesses and the Closed Block Business, respectively.
Commercial Mortgage Loans are shown net of the allowance for losses on the statement of financial position.
(2) Balances accounted for under either the cost or equity method and include all real estate related exposures, net of impairments.
2008 to 2007 Annual Comparison.
Total annualized new business premiums increased $140 million, from $352 million in 2007 to $492 million in 2008.
Group life sales increased $91 million driven primarily by increased large case sales to both new and existing customers and higher premiums associated with the assumption of existing liabilities from third parties during 2008.
Group disability sales increased $49 million due to increased sales of large case disability products to new customers, higher disability premiums associated with assumption of existing liabilities from third parties, and higher sales of long-term care products in 2008.
Our sales are reflective of the continuing competitive pricing in the marketplace and the pricing discipline we apply in writing business.
International Insurance and Investments Division Impact of foreign currency exchange rate movements on earnings As a U. S. -based company with significant business operations outside the U. S. , we seek to mitigate the risk that future unfavorable foreign currency exchange rate movements will reduce our U. S.  dollar equivalent earnings.
The operations of our International Insurance and International Investments segments are subject to currency fluctuations that can materially affect their U. S.  dollar earnings from period to period even if earnings on a local currency basis are relatively constant.
As discussed further below, we enter into forward currency derivative contracts, as well as “dual currency” and “synthetic dual currency” investments, as part of our strategy to effectively fix the currency exchange rates for a portion of our prospective non-U.
S.  dollar denominated earnings streams, thereby reducing earnings volatility from unfavorable and favorable foreign currency exchange rate movements.
Forward currency hedging program The financial results of our International Insurance segment and International Investments segment, excluding the global commodities group, for all periods presented reflect the impact of an intercompany arrangement with Corporate and Other operations pursuant to which the segments’ non-U.
S.  dollar denominated earnings in all countries are translated at fixed currency exchange rates.
The fixed rates are determined in connection with a currency income hedging program designed to mitigate the risk that unfavorable exchange rate changes will reduce the segments’ U. S.  dollar equivalent earnings.
Pursuant to this program, Corporate and Other operations executes forward currency contracts with third parties to sell the net exposure of projected earnings from the hedged currency in exchange for U. S.  dollars at specified exchange rates.
The maturities of these contracts correspond with the future periods in which the identified non-U.
S.  dollar denominated earnings are expected to be generated.
This program is primarily associated with the International Insurance segment’s businesses in Japan, Korea and Taiwan and the International Investments segment’s businesses in Korea and Europe.
The intercompany arrangement with Corporate and Other operations increased (decreased) revenues and adjusted operating income of each segment as follows for the periods indicated:
## Table 2 ##
Results of Corporate and Other operations include any differences between the translation adjustments recorded by the segments and the gains or losses recorded from the forward currency contracts that settled during the period, which includes the impact of any over or under hedge of actual earnings as a result of projected earnings differing from actual earnings.
The net impact of this program recorded within the Corporate and Other operations were gains of $26 million, $18 million, and $4 million for the years ended December 31, 2009, 2008, and 2007, respectively.
The notional amount of these forward currency contracts was $2.7 billion and $2.8 billion as of December 31, 2009 and 2008, respectively, of which $2.0 billion and $1.8 billion as of December 31, 2009 and 2008, respectively, related to our Japanese insurance operations.
Dual currency and synthetic dual currency investments In addition, our Japanese insurance operations also hold dual currency investments in the form of fixed maturities and loans.
The principal of these dual currency investments are yen-denominated while the related interest income is U. S.  dollar denominated.
These investments are the economic equivalent of exchanging what would otherwise be fixed streams of yen-denominated interest income for fixed streams of U. S.  dollar interest income.
Our Japanese insurance operations also hold investments in yen-denominated investments that have been coupled with cross-currency coupon swap agreements, creating synthetic dual currency investments.
The yen/U.
S.  dollar exchange rate is effectively fixed, as we are obligated in future periods to exchange fixed amounts of Japanese yen interest payments generated by the yen-denominated investments for U. S.  dollars at the yen/U.
S.  dollar exchange rates specified by the cross-currency coupon swap agreements.
As of December 31, 2009 and 2008, the notional amount of these investments was ￥430 billion, or $3.8 billion, and ￥500 billion, or $4.4 billion, respectively, based upon the foreign currency exchange rates applicable at the time these investments were acquired.
For the years ended December 31, 2009, 2008 and 2007, the weighted average yield generated by these investments was 2.9%, 2.3% and 2.7%, respectively
2008 to 2007 Annual Comparison Financial Services Businesses The Financial Services Businesses’ net realized investment losses in 2008 were $2,414 million, compared to net realized investment gains of $24 million in 2007.
Net realized losses on fixed maturity securities were $1,646 million in 2008, compared to net realized losses of $64 million in 2007, as set forth in the following table:

<table><tr><td></td><td>2016</td><td>2015</td></tr><tr><td>Balance at beginning of year</td><td>$1,636,526</td><td>$1,642,438</td></tr><tr><td>Acquisition of Hittite (Note 6) (1)</td><td>—</td><td>-1,105</td></tr><tr><td>Goodwill adjustment related to other acquisitions -2</td><td>44,046</td><td>3,663</td></tr><tr><td>Foreign currency translation adjustment</td><td>-1,456</td><td>-8,470</td></tr><tr><td>Balance at end of year</td><td>$1,679,116</td><td>$1,636,526</td></tr></table>
<table><tr><td></td><td colspan="2"> December 31, 2009</td><td colspan="2"> December 31, 2008</td></tr><tr><td></td><td> Financial Services Businesses</td><td> Closed Block Business</td><td> Financial Services Businesses</td><td> Closed Block Business</td></tr><tr><td></td><td colspan="4"> (in millions)</td></tr><tr><td> General Account</td><td></td><td></td><td></td><td></td></tr><tr><td>Commercial Mortgage-Backed Securities, at fair value:</td><td></td><td></td><td></td><td></td></tr><tr><td>Fixed Maturity Securities</td><td>$7,828</td><td>$3,662</td><td>$6,852</td><td>$3,188</td></tr><tr><td>Trading Account Assets Supporting Insurance Liabilities</td><td>1,893</td><td>—</td><td>2,092</td><td>—</td></tr><tr><td>Other Trading Account Assets</td><td>136</td><td>—</td><td>135</td><td>—</td></tr><tr><td>Commercial Mortgage Loans, at gross carrying value-1</td><td>19,322</td><td>8,486</td><td>19,936</td><td>8,765</td></tr><tr><td>Real estate related joint ventures and limited partnerships-2</td><td>331</td><td>338</td><td>405</td><td>348</td></tr><tr><td>Real estate held through direct ownership-3</td><td>1,055</td><td>—</td><td>1,109</td><td>—</td></tr><tr><td> Other Entities and Operations-4</td><td></td><td></td><td></td><td></td></tr><tr><td>Commercial Mortgage-Backed Securities, at fair value:</td><td></td><td></td><td></td><td></td></tr><tr><td>Fixed Maturity Securities</td><td>$92</td><td>$—</td><td>$22</td><td>$—</td></tr><tr><td>Other Trading Account Assets</td><td>—</td><td>—</td><td>1</td><td>—</td></tr><tr><td>Commercial Mortgage Loans, at gross carrying value-5</td><td>1,739</td><td>—</td><td>2,175</td><td>—</td></tr><tr><td>Real estate related joint ventures and limited partnerships-2</td><td>492</td><td>—</td><td>437</td><td>—</td></tr><tr><td>Real estate held through direct ownership-3</td><td>461</td><td>—</td><td>1,056</td><td>—</td></tr></table>
<table><tr><td rowspan="3"></td><td colspan="3">Year ended December 31,</td></tr><tr><td>2009</td><td>2008</td><td>2007</td></tr><tr><td colspan="3">(in millions)</td></tr><tr><td>Impact on revenues and adjusted operating income:</td><td></td><td></td><td></td></tr><tr><td>International Insurance</td><td>$-37</td><td>$6</td><td>$88</td></tr><tr><td>International Investments</td><td>6</td><td>-2</td><td>-14</td></tr><tr><td>Total International Insurance and Investments Division</td><td>$-31</td><td>$4</td><td>$74</td></tr></table>

Question: what is the percentage change in the balance of goodwill from 2015 to 2016?